%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN444+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n008.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 13:52:35 EDT 2022 % Result : Theorem 1.07s 1.25s % Output : Proof 1.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.10 % Problem : SYN444+1 : TPTP v8.1.0. Released v2.1.0. % 0.03/0.11 % Command : run_zenon %s %d % 0.10/0.31 % Computer : n008.cluster.edu % 0.10/0.31 % Model : x86_64 x86_64 % 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.31 % Memory : 8042.1875MB % 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.31 % CPULimit : 300 % 0.10/0.31 % WCLimit : 600 % 0.10/0.31 % DateTime : Tue Jul 12 02:05:08 EDT 2022 % 0.10/0.31 % CPUTime : % 1.07/1.25 (* PROOF-FOUND *) % 1.07/1.25 % SZS status Theorem % 1.07/1.25 (* BEGIN-PROOF *) % 1.07/1.25 % SZS output start Proof % 1.07/1.25 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c1_1 (a213))/\((c3_1 (a213))/\(~(c2_1 (a213)))))))/\(((~(hskp1))\/((ndr1_0)/\((c1_1 (a214))/\((c2_1 (a214))/\(~(c0_1 (a214)))))))/\(((~(hskp2))\/((ndr1_0)/\((c2_1 (a215))/\((~(c0_1 (a215)))/\(~(c1_1 (a215)))))))/\(((~(hskp3))\/((ndr1_0)/\((c3_1 (a216))/\((~(c0_1 (a216)))/\(~(c2_1 (a216)))))))/\(((~(hskp4))\/((ndr1_0)/\((c3_1 (a218))/\((~(c0_1 (a218)))/\(~(c1_1 (a218)))))))/\(((~(hskp5))\/((ndr1_0)/\((c2_1 (a220))/\((~(c0_1 (a220)))/\(~(c3_1 (a220)))))))/\(((~(hskp6))\/((ndr1_0)/\((c0_1 (a221))/\((c1_1 (a221))/\(~(c2_1 (a221)))))))/\(((~(hskp7))\/((ndr1_0)/\((c0_1 (a224))/\((c3_1 (a224))/\(~(c1_1 (a224)))))))/\(((~(hskp8))\/((ndr1_0)/\((c0_1 (a225))/\((~(c2_1 (a225)))/\(~(c3_1 (a225)))))))/\(((~(hskp9))\/((ndr1_0)/\((c3_1 (a228))/\((~(c1_1 (a228)))/\(~(c2_1 (a228)))))))/\(((~(hskp10))\/((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229)))))))/\(((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))))/\(((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235)))))))/\(((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))))/\(((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237)))))))/\(((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))))/\(((~(hskp16))\/((ndr1_0)/\((c1_1 (a239))/\((c2_1 (a239))/\(~(c3_1 (a239)))))))/\(((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))))/\(((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247)))))))/\(((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))))/\(((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259)))))))/\(((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260)))))))/\(((~(hskp22))\/((ndr1_0)/\((c1_1 (a263))/\((c3_1 (a263))/\(~(c0_1 (a263)))))))/\(((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278)))))))/\(((~(hskp24))\/((ndr1_0)/\((c0_1 (a282))/\((~(c1_1 (a282)))/\(~(c3_1 (a282)))))))/\(((~(hskp25))\/((ndr1_0)/\((c1_1 (a288))/\((~(c0_1 (a288)))/\(~(c3_1 (a288)))))))/\(((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_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))\/(~(c3_1 Y))))))\/(hskp0)))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1)))/\(((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((hskp2)\/(hskp3)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp1)\/(hskp4)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15)))))))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp26)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp7)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))))/\(((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(hskp9)))/\(((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c3_1 X46)\/(~(c0_1 X46))))))\/(forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))))/\(((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp10)\/(hskp12)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp16)\/(hskp2)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6)))/\(((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0)))/\(((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11)))/\(((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp18)))/\(((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19)))/\(((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp27)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp26)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp20)\/(hskp13)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp22)\/(hskp12)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp8)\/(hskp3)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13)))/\(((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27))/\(((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20)))/\(((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3)))/\(((hskp20)\/((hskp18)\/(hskp23)))/\(((hskp15)\/((hskp7)\/(hskp11)))/\(((hskp24)\/((hskp8)\/(hskp10)))/\(((hskp16)\/((hskp9)\/(hskp23)))/\(((hskp25)\/((hskp2)\/(hskp3)))/\((hskp10)\/((hskp11)\/(hskp13)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 1.07/1.26 Proof. % 1.07/1.26 assert (zenon_L1_ : (~(hskp10)) -> (hskp10) -> False). % 1.07/1.26 do 0 intro. intros zenon_H1 zenon_H2. % 1.07/1.26 exact (zenon_H1 zenon_H2). % 1.07/1.26 (* end of lemma zenon_L1_ *) % 1.07/1.26 assert (zenon_L2_ : (~(hskp11)) -> (hskp11) -> False). % 1.07/1.26 do 0 intro. intros zenon_H3 zenon_H4. % 1.07/1.26 exact (zenon_H3 zenon_H4). % 1.07/1.26 (* end of lemma zenon_L2_ *) % 1.07/1.26 assert (zenon_L3_ : (~(hskp13)) -> (hskp13) -> False). % 1.07/1.26 do 0 intro. intros zenon_H5 zenon_H6. % 1.07/1.26 exact (zenon_H5 zenon_H6). % 1.07/1.26 (* end of lemma zenon_L3_ *) % 1.07/1.26 assert (zenon_L4_ : ((hskp10)\/((hskp11)\/(hskp13))) -> (~(hskp10)) -> (~(hskp11)) -> (~(hskp13)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 1.07/1.26 exact (zenon_H1 zenon_H2). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 1.07/1.26 exact (zenon_H3 zenon_H4). % 1.07/1.26 exact (zenon_H5 zenon_H6). % 1.07/1.26 (* end of lemma zenon_L4_ *) % 1.07/1.26 assert (zenon_L5_ : (~(hskp15)) -> (hskp15) -> False). % 1.07/1.26 do 0 intro. intros zenon_H9 zenon_Ha. % 1.07/1.26 exact (zenon_H9 zenon_Ha). % 1.07/1.26 (* end of lemma zenon_L5_ *) % 1.07/1.26 assert (zenon_L6_ : (~(hskp7)) -> (hskp7) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hb zenon_Hc. % 1.07/1.26 exact (zenon_Hb zenon_Hc). % 1.07/1.26 (* end of lemma zenon_L6_ *) % 1.07/1.26 assert (zenon_L7_ : ((hskp15)\/((hskp7)\/(hskp11))) -> (~(hskp15)) -> (~(hskp7)) -> (~(hskp11)) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hd zenon_H9 zenon_Hb zenon_H3. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hd); [ zenon_intro zenon_Ha | zenon_intro zenon_He ]. % 1.07/1.26 exact (zenon_H9 zenon_Ha). % 1.07/1.26 apply (zenon_or_s _ _ zenon_He); [ zenon_intro zenon_Hc | zenon_intro zenon_H4 ]. % 1.07/1.26 exact (zenon_Hb zenon_Hc). % 1.07/1.26 exact (zenon_H3 zenon_H4). % 1.07/1.26 (* end of lemma zenon_L7_ *) % 1.07/1.26 assert (zenon_L8_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hf zenon_H10. % 1.07/1.26 exact (zenon_Hf zenon_H10). % 1.07/1.26 (* end of lemma zenon_L8_ *) % 1.07/1.26 assert (zenon_L9_ : (~(hskp27)) -> (hskp27) -> False). % 1.07/1.26 do 0 intro. intros zenon_H11 zenon_H12. % 1.07/1.26 exact (zenon_H11 zenon_H12). % 1.07/1.26 (* end of lemma zenon_L9_ *) % 1.07/1.26 assert (zenon_L10_ : ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp27)) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (~(c3_1 (a238))) -> (ndr1_0) -> False). % 1.07/1.26 do 0 intro. intros zenon_H13 zenon_H11 zenon_H14 zenon_H15 zenon_H16 zenon_H10. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H13); [ zenon_intro zenon_H17 | zenon_intro zenon_H12 ]. % 1.07/1.26 generalize (zenon_H17 (a238)). zenon_intro zenon_H18. % 1.07/1.26 apply (zenon_imply_s _ _ zenon_H18); [ zenon_intro zenon_Hf | zenon_intro zenon_H19 ]. % 1.07/1.26 exact (zenon_Hf zenon_H10). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1b | zenon_intro zenon_H1a ]. % 1.07/1.26 exact (zenon_H16 zenon_H1b). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ]. % 1.07/1.26 exact (zenon_H1d zenon_H15). % 1.07/1.26 exact (zenon_H1c zenon_H14). % 1.07/1.26 exact (zenon_H11 zenon_H12). % 1.07/1.26 (* end of lemma zenon_L10_ *) % 1.07/1.26 assert (zenon_L11_ : (forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58))))) -> (ndr1_0) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H1e zenon_H10 zenon_H1f zenon_H20 zenon_H21. % 1.07/1.26 generalize (zenon_H1e (a236)). zenon_intro zenon_H22. % 1.07/1.26 apply (zenon_imply_s _ _ zenon_H22); [ zenon_intro zenon_Hf | zenon_intro zenon_H23 ]. % 1.07/1.26 exact (zenon_Hf zenon_H10). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ]. % 1.07/1.26 exact (zenon_H1f zenon_H25). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 1.07/1.26 exact (zenon_H20 zenon_H27). % 1.07/1.26 exact (zenon_H21 zenon_H26). % 1.07/1.26 (* end of lemma zenon_L11_ *) % 1.07/1.26 assert (zenon_L12_ : (forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))) -> (ndr1_0) -> (c0_1 (a232)) -> (c2_1 (a232)) -> (c3_1 (a232)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H28 zenon_H10 zenon_H29 zenon_H2a zenon_H2b. % 1.07/1.26 generalize (zenon_H28 (a232)). zenon_intro zenon_H2c. % 1.07/1.26 apply (zenon_imply_s _ _ zenon_H2c); [ zenon_intro zenon_Hf | zenon_intro zenon_H2d ]. % 1.07/1.26 exact (zenon_Hf zenon_H10). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2d); [ zenon_intro zenon_H2f | zenon_intro zenon_H2e ]. % 1.07/1.26 exact (zenon_H2f zenon_H29). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ]. % 1.07/1.26 exact (zenon_H31 zenon_H2a). % 1.07/1.26 exact (zenon_H30 zenon_H2b). % 1.07/1.26 (* end of lemma zenon_L12_ *) % 1.07/1.26 assert (zenon_L13_ : (~(hskp0)) -> (hskp0) -> False). % 1.07/1.26 do 0 intro. intros zenon_H32 zenon_H33. % 1.07/1.26 exact (zenon_H32 zenon_H33). % 1.07/1.26 (* end of lemma zenon_L13_ *) % 1.07/1.26 assert (zenon_L14_ : ((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (~(hskp0)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H34 zenon_H35 zenon_H21 zenon_H20 zenon_H1f zenon_H32. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1e | zenon_intro zenon_H38 ]. % 1.07/1.26 apply (zenon_L11_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H28 | zenon_intro zenon_H33 ]. % 1.07/1.26 apply (zenon_L12_); trivial. % 1.07/1.26 exact (zenon_H32 zenon_H33). % 1.07/1.26 (* end of lemma zenon_L14_ *) % 1.07/1.26 assert (zenon_L15_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H39 zenon_H3a zenon_H35 zenon_H32 zenon_H21 zenon_H20 zenon_H1f zenon_H13. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.07/1.26 apply (zenon_L10_); trivial. % 1.07/1.26 apply (zenon_L14_); trivial. % 1.07/1.26 (* end of lemma zenon_L15_ *) % 1.07/1.26 assert (zenon_L16_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp7)) -> (~(hskp11)) -> ((hskp15)\/((hskp7)\/(hskp11))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H3d zenon_H3a zenon_H35 zenon_H32 zenon_H21 zenon_H20 zenon_H1f zenon_H13 zenon_Hb zenon_H3 zenon_Hd. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.26 apply (zenon_L7_); trivial. % 1.07/1.26 apply (zenon_L15_); trivial. % 1.07/1.26 (* end of lemma zenon_L16_ *) % 1.07/1.26 assert (zenon_L17_ : (~(hskp20)) -> (hskp20) -> False). % 1.07/1.26 do 0 intro. intros zenon_H3e zenon_H3f. % 1.07/1.26 exact (zenon_H3e zenon_H3f). % 1.07/1.26 (* end of lemma zenon_L17_ *) % 1.07/1.26 assert (zenon_L18_ : (~(hskp18)) -> (hskp18) -> False). % 1.07/1.26 do 0 intro. intros zenon_H40 zenon_H41. % 1.07/1.26 exact (zenon_H40 zenon_H41). % 1.07/1.26 (* end of lemma zenon_L18_ *) % 1.07/1.26 assert (zenon_L19_ : (~(hskp23)) -> (hskp23) -> False). % 1.07/1.26 do 0 intro. intros zenon_H42 zenon_H43. % 1.07/1.26 exact (zenon_H42 zenon_H43). % 1.07/1.26 (* end of lemma zenon_L19_ *) % 1.07/1.26 assert (zenon_L20_ : ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp20)) -> (~(hskp18)) -> (~(hskp23)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H44 zenon_H3e zenon_H40 zenon_H42. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H3f | zenon_intro zenon_H45 ]. % 1.07/1.26 exact (zenon_H3e zenon_H3f). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H41 | zenon_intro zenon_H43 ]. % 1.07/1.26 exact (zenon_H40 zenon_H41). % 1.07/1.26 exact (zenon_H42 zenon_H43). % 1.07/1.26 (* end of lemma zenon_L20_ *) % 1.07/1.26 assert (zenon_L21_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (ndr1_0) -> (~(c0_1 (a278))) -> (~(c2_1 (a278))) -> (~(c3_1 (a278))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H46 zenon_H10 zenon_H47 zenon_H48 zenon_H49. % 1.07/1.26 generalize (zenon_H46 (a278)). zenon_intro zenon_H4a. % 1.07/1.26 apply (zenon_imply_s _ _ zenon_H4a); [ zenon_intro zenon_Hf | zenon_intro zenon_H4b ]. % 1.07/1.26 exact (zenon_Hf zenon_H10). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H4d | zenon_intro zenon_H4c ]. % 1.07/1.26 exact (zenon_H47 zenon_H4d). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 1.07/1.26 exact (zenon_H48 zenon_H4f). % 1.07/1.26 exact (zenon_H49 zenon_H4e). % 1.07/1.26 (* end of lemma zenon_L21_ *) % 1.07/1.26 assert (zenon_L22_ : (~(hskp8)) -> (hskp8) -> False). % 1.07/1.26 do 0 intro. intros zenon_H50 zenon_H51. % 1.07/1.26 exact (zenon_H50 zenon_H51). % 1.07/1.26 (* end of lemma zenon_L22_ *) % 1.07/1.26 assert (zenon_L23_ : ((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp8)) -> (~(hskp0)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H52 zenon_H53 zenon_H50 zenon_H32. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H10. zenon_intro zenon_H54. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H55. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H49. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H46 | zenon_intro zenon_H56 ]. % 1.07/1.26 apply (zenon_L21_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H51 | zenon_intro zenon_H33 ]. % 1.07/1.26 exact (zenon_H50 zenon_H51). % 1.07/1.26 exact (zenon_H32 zenon_H33). % 1.07/1.26 (* end of lemma zenon_L23_ *) % 1.07/1.26 assert (zenon_L24_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (~(hskp20)) -> (~(hskp18)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H57 zenon_H53 zenon_H32 zenon_H50 zenon_H3e zenon_H40 zenon_H44. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H42 | zenon_intro zenon_H52 ]. % 1.07/1.26 apply (zenon_L20_); trivial. % 1.07/1.26 apply (zenon_L23_); trivial. % 1.07/1.26 (* end of lemma zenon_L24_ *) % 1.07/1.26 assert (zenon_L25_ : (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39)))))) -> (ndr1_0) -> (~(c3_1 (a259))) -> (c0_1 (a259)) -> (c1_1 (a259)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H58 zenon_H10 zenon_H59 zenon_H5a zenon_H5b. % 1.07/1.26 generalize (zenon_H58 (a259)). zenon_intro zenon_H5c. % 1.07/1.26 apply (zenon_imply_s _ _ zenon_H5c); [ zenon_intro zenon_Hf | zenon_intro zenon_H5d ]. % 1.07/1.26 exact (zenon_Hf zenon_H10). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H5f | zenon_intro zenon_H5e ]. % 1.07/1.26 exact (zenon_H59 zenon_H5f). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H61 | zenon_intro zenon_H60 ]. % 1.07/1.26 exact (zenon_H61 zenon_H5a). % 1.07/1.26 exact (zenon_H60 zenon_H5b). % 1.07/1.26 (* end of lemma zenon_L25_ *) % 1.07/1.26 assert (zenon_L26_ : (~(hskp4)) -> (hskp4) -> False). % 1.07/1.26 do 0 intro. intros zenon_H62 zenon_H63. % 1.07/1.26 exact (zenon_H62 zenon_H63). % 1.07/1.26 (* end of lemma zenon_L26_ *) % 1.07/1.26 assert (zenon_L27_ : ((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> (~(hskp13)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H64 zenon_H65 zenon_H62 zenon_H5. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H10. zenon_intro zenon_H66. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5a. zenon_intro zenon_H67. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H58 | zenon_intro zenon_H68 ]. % 1.07/1.26 apply (zenon_L25_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H63 | zenon_intro zenon_H6 ]. % 1.07/1.26 exact (zenon_H62 zenon_H63). % 1.07/1.26 exact (zenon_H5 zenon_H6). % 1.07/1.26 (* end of lemma zenon_L27_ *) % 1.07/1.26 assert (zenon_L28_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp13)) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp18)) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H69 zenon_H65 zenon_H5 zenon_H62 zenon_H44 zenon_H40 zenon_H50 zenon_H32 zenon_H53 zenon_H57. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.07/1.26 apply (zenon_L24_); trivial. % 1.07/1.26 apply (zenon_L27_); trivial. % 1.07/1.26 (* end of lemma zenon_L28_ *) % 1.07/1.26 assert (zenon_L29_ : (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (ndr1_0) -> (~(c0_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H6a zenon_H10 zenon_H6b zenon_H6c zenon_H6d. % 1.07/1.26 generalize (zenon_H6a (a230)). zenon_intro zenon_H6e. % 1.07/1.26 apply (zenon_imply_s _ _ zenon_H6e); [ zenon_intro zenon_Hf | zenon_intro zenon_H6f ]. % 1.07/1.26 exact (zenon_Hf zenon_H10). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H71 | zenon_intro zenon_H70 ]. % 1.07/1.26 exact (zenon_H6b zenon_H71). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H73 | zenon_intro zenon_H72 ]. % 1.07/1.26 exact (zenon_H73 zenon_H6c). % 1.07/1.26 exact (zenon_H72 zenon_H6d). % 1.07/1.26 (* end of lemma zenon_L29_ *) % 1.07/1.26 assert (zenon_L30_ : (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42)))))) -> (ndr1_0) -> (~(c1_1 (a230))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H74 zenon_H10 zenon_H75 zenon_H6a zenon_H6c zenon_H6d. % 1.07/1.26 generalize (zenon_H74 (a230)). zenon_intro zenon_H76. % 1.07/1.26 apply (zenon_imply_s _ _ zenon_H76); [ zenon_intro zenon_Hf | zenon_intro zenon_H77 ]. % 1.07/1.26 exact (zenon_Hf zenon_H10). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H79 | zenon_intro zenon_H78 ]. % 1.07/1.26 exact (zenon_H75 zenon_H79). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6b | zenon_intro zenon_H72 ]. % 1.07/1.26 apply (zenon_L29_); trivial. % 1.07/1.26 exact (zenon_H72 zenon_H6d). % 1.07/1.26 (* end of lemma zenon_L30_ *) % 1.07/1.26 assert (zenon_L31_ : (forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34)))))) -> (ndr1_0) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H7a zenon_H10 zenon_H75 zenon_H6c zenon_H6d. % 1.07/1.26 generalize (zenon_H7a (a230)). zenon_intro zenon_H7b. % 1.07/1.26 apply (zenon_imply_s _ _ zenon_H7b); [ zenon_intro zenon_Hf | zenon_intro zenon_H7c ]. % 1.07/1.26 exact (zenon_Hf zenon_H10). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H79 | zenon_intro zenon_H70 ]. % 1.07/1.26 exact (zenon_H75 zenon_H79). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H73 | zenon_intro zenon_H72 ]. % 1.07/1.26 exact (zenon_H73 zenon_H6c). % 1.07/1.26 exact (zenon_H72 zenon_H6d). % 1.07/1.26 (* end of lemma zenon_L31_ *) % 1.07/1.26 assert (zenon_L32_ : (~(hskp19)) -> (hskp19) -> False). % 1.07/1.26 do 0 intro. intros zenon_H7d zenon_H7e. % 1.07/1.26 exact (zenon_H7d zenon_H7e). % 1.07/1.26 (* end of lemma zenon_L32_ *) % 1.07/1.26 assert (zenon_L33_ : ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (ndr1_0) -> (~(hskp19)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H7f zenon_H6a zenon_H6d zenon_H6c zenon_H75 zenon_H10 zenon_H7d. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H74 | zenon_intro zenon_H80 ]. % 1.07/1.26 apply (zenon_L30_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H7a | zenon_intro zenon_H7e ]. % 1.07/1.26 apply (zenon_L31_); trivial. % 1.07/1.26 exact (zenon_H7d zenon_H7e). % 1.07/1.26 (* end of lemma zenon_L33_ *) % 1.07/1.26 assert (zenon_L34_ : (forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c2_1 (a247))) -> (c0_1 (a247)) -> (c3_1 (a247)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H81 zenon_H10 zenon_H82 zenon_H83 zenon_H84. % 1.07/1.26 generalize (zenon_H81 (a247)). zenon_intro zenon_H85. % 1.07/1.26 apply (zenon_imply_s _ _ zenon_H85); [ zenon_intro zenon_Hf | zenon_intro zenon_H86 ]. % 1.07/1.26 exact (zenon_Hf zenon_H10). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_H88 | zenon_intro zenon_H87 ]. % 1.07/1.26 exact (zenon_H82 zenon_H88). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H8a | zenon_intro zenon_H89 ]. % 1.07/1.26 exact (zenon_H8a zenon_H83). % 1.07/1.26 exact (zenon_H89 zenon_H84). % 1.07/1.26 (* end of lemma zenon_L34_ *) % 1.07/1.26 assert (zenon_L35_ : (~(hskp6)) -> (hskp6) -> False). % 1.07/1.26 do 0 intro. intros zenon_H8b zenon_H8c. % 1.07/1.26 exact (zenon_H8b zenon_H8c). % 1.07/1.26 (* end of lemma zenon_L35_ *) % 1.07/1.26 assert (zenon_L36_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> (~(hskp19)) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a247)) -> (c0_1 (a247)) -> (~(c2_1 (a247))) -> (ndr1_0) -> (~(hskp6)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H8d zenon_H7d zenon_H75 zenon_H6c zenon_H6d zenon_H7f zenon_H84 zenon_H83 zenon_H82 zenon_H10 zenon_H8b. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H6a | zenon_intro zenon_H8e ]. % 1.07/1.26 apply (zenon_L33_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H81 | zenon_intro zenon_H8c ]. % 1.07/1.26 apply (zenon_L34_); trivial. % 1.07/1.26 exact (zenon_H8b zenon_H8c). % 1.07/1.26 (* end of lemma zenon_L36_ *) % 1.07/1.26 assert (zenon_L37_ : (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39)))))) -> (ndr1_0) -> (~(c3_1 (a252))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (~(c2_1 (a252))) -> (c1_1 (a252)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H58 zenon_H10 zenon_H8f zenon_H46 zenon_H90 zenon_H91. % 1.07/1.26 generalize (zenon_H58 (a252)). zenon_intro zenon_H92. % 1.07/1.26 apply (zenon_imply_s _ _ zenon_H92); [ zenon_intro zenon_Hf | zenon_intro zenon_H93 ]. % 1.07/1.26 exact (zenon_Hf zenon_H10). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H95 | zenon_intro zenon_H94 ]. % 1.07/1.26 exact (zenon_H8f zenon_H95). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 1.07/1.26 generalize (zenon_H46 (a252)). zenon_intro zenon_H98. % 1.07/1.26 apply (zenon_imply_s _ _ zenon_H98); [ zenon_intro zenon_Hf | zenon_intro zenon_H99 ]. % 1.07/1.26 exact (zenon_Hf zenon_H10). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H9b | zenon_intro zenon_H9a ]. % 1.07/1.26 exact (zenon_H97 zenon_H9b). % 1.07/1.26 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H9c | zenon_intro zenon_H95 ]. % 1.07/1.26 exact (zenon_H90 zenon_H9c). % 1.07/1.26 exact (zenon_H8f zenon_H95). % 1.07/1.26 exact (zenon_H96 zenon_H91). % 1.07/1.26 (* end of lemma zenon_L37_ *) % 1.07/1.26 assert (zenon_L38_ : (~(hskp12)) -> (hskp12) -> False). % 1.07/1.26 do 0 intro. intros zenon_H9d zenon_H9e. % 1.07/1.26 exact (zenon_H9d zenon_H9e). % 1.07/1.26 (* end of lemma zenon_L38_ *) % 1.07/1.26 assert (zenon_L39_ : ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (c1_1 (a252)) -> (~(c2_1 (a252))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (~(c3_1 (a252))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp12)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H9f zenon_H91 zenon_H90 zenon_H46 zenon_H8f zenon_H10 zenon_H32 zenon_H9d. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H58 | zenon_intro zenon_Ha0 ]. % 1.07/1.26 apply (zenon_L37_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H33 | zenon_intro zenon_H9e ]. % 1.07/1.26 exact (zenon_H32 zenon_H33). % 1.07/1.26 exact (zenon_H9d zenon_H9e). % 1.07/1.26 (* end of lemma zenon_L39_ *) % 1.07/1.26 assert (zenon_L40_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp8)) -> (~(hskp0)) -> False). % 1.07/1.26 do 0 intro. intros zenon_Ha1 zenon_H53 zenon_H9d zenon_H9f zenon_H50 zenon_H32. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H46 | zenon_intro zenon_H56 ]. % 1.07/1.26 apply (zenon_L39_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H51 | zenon_intro zenon_H33 ]. % 1.07/1.26 exact (zenon_H50 zenon_H51). % 1.07/1.26 exact (zenon_H32 zenon_H33). % 1.07/1.26 (* end of lemma zenon_L40_ *) % 1.07/1.26 assert (zenon_L41_ : ((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp8)) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> False). % 1.07/1.26 do 0 intro. intros zenon_Ha4 zenon_Ha5 zenon_H53 zenon_H50 zenon_H32 zenon_H9d zenon_H9f zenon_H7f zenon_H6d zenon_H6c zenon_H75 zenon_H8b zenon_H8d. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.07/1.26 apply (zenon_L36_); trivial. % 1.07/1.26 apply (zenon_L40_); trivial. % 1.07/1.26 (* end of lemma zenon_L41_ *) % 1.07/1.26 assert (zenon_L42_ : ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp27)) -> (c0_1 (a259)) -> (~(c3_1 (a259))) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H13 zenon_H11 zenon_H5a zenon_H59 zenon_H10 zenon_Ha8. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H13); [ zenon_intro zenon_H17 | zenon_intro zenon_H12 ]. % 1.07/1.26 generalize (zenon_Ha8 (a259)). zenon_intro zenon_Ha9. % 1.07/1.26 apply (zenon_imply_s _ _ zenon_Ha9); [ zenon_intro zenon_Hf | zenon_intro zenon_Haa ]. % 1.07/1.26 exact (zenon_Hf zenon_H10). % 1.07/1.26 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Hac | zenon_intro zenon_Hab ]. % 1.07/1.26 generalize (zenon_H17 (a259)). zenon_intro zenon_Had. % 1.07/1.26 apply (zenon_imply_s _ _ zenon_Had); [ zenon_intro zenon_Hf | zenon_intro zenon_Hae ]. % 1.07/1.26 exact (zenon_Hf zenon_H10). % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5f | zenon_intro zenon_Haf ]. % 1.07/1.26 exact (zenon_H59 zenon_H5f). % 1.07/1.26 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H61 | zenon_intro zenon_Hb0 ]. % 1.07/1.26 exact (zenon_H61 zenon_H5a). % 1.07/1.26 exact (zenon_Hb0 zenon_Hac). % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H5f | zenon_intro zenon_H61 ]. % 1.07/1.26 exact (zenon_H59 zenon_H5f). % 1.07/1.26 exact (zenon_H61 zenon_H5a). % 1.07/1.26 exact (zenon_H11 zenon_H12). % 1.07/1.26 (* end of lemma zenon_L42_ *) % 1.07/1.26 assert (zenon_L43_ : ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (ndr1_0) -> (~(c3_1 (a259))) -> (c0_1 (a259)) -> (~(hskp27)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp15)) -> (~(hskp0)) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hb1 zenon_H10 zenon_H59 zenon_H5a zenon_H11 zenon_H13 zenon_H9 zenon_H32. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb2 ]. % 1.07/1.26 apply (zenon_L42_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha | zenon_intro zenon_H33 ]. % 1.07/1.26 exact (zenon_H9 zenon_Ha). % 1.07/1.26 exact (zenon_H32 zenon_H33). % 1.07/1.26 (* end of lemma zenon_L43_ *) % 1.07/1.26 assert (zenon_L44_ : ((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H64 zenon_H3a zenon_H35 zenon_H21 zenon_H20 zenon_H1f zenon_H13 zenon_H9 zenon_H32 zenon_Hb1. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H10. zenon_intro zenon_H66. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5a. zenon_intro zenon_H67. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.07/1.26 apply (zenon_L43_); trivial. % 1.07/1.26 apply (zenon_L14_); trivial. % 1.07/1.26 (* end of lemma zenon_L44_ *) % 1.07/1.26 assert (zenon_L45_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp18)) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H69 zenon_H3a zenon_H35 zenon_H21 zenon_H20 zenon_H1f zenon_H13 zenon_H9 zenon_Hb1 zenon_H44 zenon_H40 zenon_H50 zenon_H32 zenon_H53 zenon_H57. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.07/1.26 apply (zenon_L24_); trivial. % 1.07/1.26 apply (zenon_L44_); trivial. % 1.07/1.26 (* end of lemma zenon_L45_ *) % 1.07/1.26 assert (zenon_L46_ : ((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hb3 zenon_H3d zenon_H69 zenon_H3a zenon_H35 zenon_H13 zenon_Hb1 zenon_H44 zenon_H50 zenon_H32 zenon_H53 zenon_H57 zenon_H8d zenon_H8b zenon_H75 zenon_H6c zenon_H6d zenon_H7f zenon_H9f zenon_H9d zenon_Ha5 zenon_Hb4. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.07/1.26 apply (zenon_L45_); trivial. % 1.07/1.26 apply (zenon_L41_); trivial. % 1.07/1.26 apply (zenon_L15_); trivial. % 1.07/1.26 (* end of lemma zenon_L46_ *) % 1.07/1.26 assert (zenon_L47_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hb7 zenon_H3d zenon_H3a zenon_H35 zenon_H13 zenon_Hb1 zenon_H69 zenon_H65 zenon_H62 zenon_H44 zenon_H50 zenon_H32 zenon_H53 zenon_H57 zenon_H8d zenon_H8b zenon_H75 zenon_H6c zenon_H6d zenon_H7f zenon_H9f zenon_H9d zenon_Ha5 zenon_Hb4. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.07/1.26 apply (zenon_L28_); trivial. % 1.07/1.26 apply (zenon_L41_); trivial. % 1.07/1.26 apply (zenon_L46_); trivial. % 1.07/1.26 (* end of lemma zenon_L47_ *) % 1.07/1.26 assert (zenon_L48_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X))))) -> (ndr1_0) -> (~(c0_1 (a235))) -> (~(c1_1 (a235))) -> (~(c3_1 (a235))) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hb8 zenon_H10 zenon_Hb9 zenon_Hba zenon_Hbb. % 1.07/1.26 generalize (zenon_Hb8 (a235)). zenon_intro zenon_Hbc. % 1.07/1.26 apply (zenon_imply_s _ _ zenon_Hbc); [ zenon_intro zenon_Hf | zenon_intro zenon_Hbd ]. % 1.07/1.26 exact (zenon_Hf zenon_H10). % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ]. % 1.07/1.26 exact (zenon_Hb9 zenon_Hbf). % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hc0 ]. % 1.07/1.26 exact (zenon_Hba zenon_Hc1). % 1.07/1.26 exact (zenon_Hbb zenon_Hc0). % 1.07/1.26 (* end of lemma zenon_L48_ *) % 1.07/1.26 assert (zenon_L49_ : ((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247)))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c3_1 (a235))) -> (~(c1_1 (a235))) -> (~(c0_1 (a235))) -> (~(hskp0)) -> False). % 1.07/1.26 do 0 intro. intros zenon_Ha4 zenon_Hc2 zenon_Hbb zenon_Hba zenon_Hb9 zenon_H32. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hc3 ]. % 1.07/1.26 apply (zenon_L48_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_H81 | zenon_intro zenon_H33 ]. % 1.07/1.26 apply (zenon_L34_); trivial. % 1.07/1.26 exact (zenon_H32 zenon_H33). % 1.07/1.26 (* end of lemma zenon_L49_ *) % 1.07/1.26 assert (zenon_L50_ : ((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> (~(c0_1 (a235))) -> (~(c1_1 (a235))) -> (~(c3_1 (a235))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hb3 zenon_H3d zenon_H69 zenon_H3a zenon_H35 zenon_H13 zenon_Hb1 zenon_H44 zenon_H50 zenon_H32 zenon_H53 zenon_H57 zenon_Hb9 zenon_Hba zenon_Hbb zenon_Hc2 zenon_Hb4. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.07/1.26 apply (zenon_L45_); trivial. % 1.07/1.26 apply (zenon_L49_); trivial. % 1.07/1.26 apply (zenon_L15_); trivial. % 1.07/1.26 (* end of lemma zenon_L50_ *) % 1.07/1.26 assert (zenon_L51_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> (~(c0_1 (a235))) -> (~(c1_1 (a235))) -> (~(c3_1 (a235))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hb7 zenon_H3d zenon_H3a zenon_H35 zenon_H13 zenon_Hb1 zenon_H69 zenon_H65 zenon_H62 zenon_H44 zenon_H50 zenon_H32 zenon_H53 zenon_H57 zenon_Hb9 zenon_Hba zenon_Hbb zenon_Hc2 zenon_Hb4. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.07/1.26 apply (zenon_L28_); trivial. % 1.07/1.26 apply (zenon_L49_); trivial. % 1.07/1.26 apply (zenon_L50_); trivial. % 1.07/1.26 (* end of lemma zenon_L51_ *) % 1.07/1.26 assert (zenon_L52_ : ((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hc4 zenon_Hb7 zenon_H3d zenon_H3a zenon_H35 zenon_H13 zenon_Hb1 zenon_H69 zenon_H65 zenon_H62 zenon_H44 zenon_H50 zenon_H32 zenon_H53 zenon_H57 zenon_Hc2 zenon_Hb4. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.07/1.26 apply (zenon_L51_); trivial. % 1.07/1.26 (* end of lemma zenon_L52_ *) % 1.07/1.26 assert (zenon_L53_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hc7 zenon_Hc2 zenon_Hb4 zenon_Ha5 zenon_H9f zenon_H7f zenon_H6d zenon_H6c zenon_H75 zenon_H8b zenon_H8d zenon_H57 zenon_H53 zenon_H32 zenon_H50 zenon_H44 zenon_H62 zenon_H65 zenon_H69 zenon_Hb1 zenon_H13 zenon_H35 zenon_H3a zenon_H3d zenon_Hb7. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.07/1.26 apply (zenon_L47_); trivial. % 1.07/1.26 apply (zenon_L52_); trivial. % 1.07/1.26 (* end of lemma zenon_L53_ *) % 1.07/1.26 assert (zenon_L54_ : (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (ndr1_0) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H6a zenon_H10 zenon_Hc8 zenon_Hc9 zenon_Hca. % 1.07/1.26 generalize (zenon_H6a (a229)). zenon_intro zenon_Hcb. % 1.07/1.26 apply (zenon_imply_s _ _ zenon_Hcb); [ zenon_intro zenon_Hf | zenon_intro zenon_Hcc ]. % 1.07/1.26 exact (zenon_Hf zenon_H10). % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hce | zenon_intro zenon_Hcd ]. % 1.07/1.26 exact (zenon_Hc8 zenon_Hce). % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hcf ]. % 1.07/1.26 exact (zenon_Hd0 zenon_Hc9). % 1.07/1.26 exact (zenon_Hcf zenon_Hca). % 1.07/1.26 (* end of lemma zenon_L54_ *) % 1.07/1.26 assert (zenon_L55_ : ((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> (~(hskp6)) -> False). % 1.07/1.26 do 0 intro. intros zenon_Ha4 zenon_H8d zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H8b. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H6a | zenon_intro zenon_H8e ]. % 1.07/1.26 apply (zenon_L54_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H81 | zenon_intro zenon_H8c ]. % 1.07/1.26 apply (zenon_L34_); trivial. % 1.07/1.26 exact (zenon_H8b zenon_H8c). % 1.07/1.26 (* end of lemma zenon_L55_ *) % 1.07/1.26 assert (zenon_L56_ : ((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> (~(hskp6)) -> False). % 1.07/1.26 do 0 intro. intros zenon_H52 zenon_Hd1 zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H8b. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H10. zenon_intro zenon_H54. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H55. % 1.07/1.26 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H49. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H46 | zenon_intro zenon_Hd2 ]. % 1.07/1.26 apply (zenon_L21_); trivial. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H6a | zenon_intro zenon_H8c ]. % 1.07/1.26 apply (zenon_L54_); trivial. % 1.07/1.26 exact (zenon_H8b zenon_H8c). % 1.07/1.26 (* end of lemma zenon_L56_ *) % 1.07/1.26 assert (zenon_L57_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> (~(hskp20)) -> (~(hskp18)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H57 zenon_Hd1 zenon_H8b zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H3e zenon_H40 zenon_H44. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H42 | zenon_intro zenon_H52 ]. % 1.07/1.26 apply (zenon_L20_); trivial. % 1.07/1.26 apply (zenon_L56_); trivial. % 1.07/1.26 (* end of lemma zenon_L57_ *) % 1.07/1.26 assert (zenon_L58_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp18)) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_H69 zenon_H3a zenon_H35 zenon_H21 zenon_H20 zenon_H1f zenon_H13 zenon_H9 zenon_H32 zenon_Hb1 zenon_H44 zenon_H40 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H8b zenon_Hd1 zenon_H57. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.07/1.26 apply (zenon_L57_); trivial. % 1.07/1.26 apply (zenon_L44_); trivial. % 1.07/1.26 (* end of lemma zenon_L58_ *) % 1.07/1.26 assert (zenon_L59_ : ((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hb3 zenon_H3d zenon_H69 zenon_H3a zenon_H35 zenon_H13 zenon_H32 zenon_Hb1 zenon_H44 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H8b zenon_Hd1 zenon_H57 zenon_H8d zenon_Hb4. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.07/1.26 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.07/1.26 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.07/1.26 apply (zenon_L58_); trivial. % 1.07/1.26 apply (zenon_L55_); trivial. % 1.07/1.26 apply (zenon_L15_); trivial. % 1.07/1.26 (* end of lemma zenon_L59_ *) % 1.07/1.26 assert (zenon_L60_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> False). % 1.07/1.26 do 0 intro. intros zenon_Hb7 zenon_H3d zenon_H3a zenon_H35 zenon_H13 zenon_Hb1 zenon_Hd1 zenon_H69 zenon_H65 zenon_H62 zenon_H44 zenon_H50 zenon_H32 zenon_H53 zenon_H57 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H8b zenon_H8d zenon_Hb4. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.07/1.26 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.07/1.26 apply (zenon_L28_); trivial. % 1.07/1.26 apply (zenon_L55_); trivial. % 1.07/1.27 apply (zenon_L59_); trivial. % 1.07/1.27 (* end of lemma zenon_L60_ *) % 1.07/1.27 assert (zenon_L61_ : (forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))) -> (ndr1_0) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> False). % 1.07/1.27 do 0 intro. intros zenon_Ha8 zenon_H10 zenon_Hd3 zenon_Hd4 zenon_Hd5. % 1.07/1.27 generalize (zenon_Ha8 (a225)). zenon_intro zenon_Hd6. % 1.07/1.27 apply (zenon_imply_s _ _ zenon_Hd6); [ zenon_intro zenon_Hf | zenon_intro zenon_Hd7 ]. % 1.07/1.27 exact (zenon_Hf zenon_H10). % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hd9 | zenon_intro zenon_Hd8 ]. % 1.07/1.27 exact (zenon_Hd3 zenon_Hd9). % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hdb | zenon_intro zenon_Hda ]. % 1.07/1.27 exact (zenon_Hd4 zenon_Hdb). % 1.07/1.27 exact (zenon_Hda zenon_Hd5). % 1.07/1.27 (* end of lemma zenon_L61_ *) % 1.07/1.27 assert (zenon_L62_ : ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp0)) -> False). % 1.07/1.27 do 0 intro. intros zenon_Hb1 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H10 zenon_H9 zenon_H32. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb2 ]. % 1.07/1.27 apply (zenon_L61_); trivial. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha | zenon_intro zenon_H33 ]. % 1.07/1.27 exact (zenon_H9 zenon_Ha). % 1.07/1.27 exact (zenon_H32 zenon_H33). % 1.07/1.27 (* end of lemma zenon_L62_ *) % 1.07/1.27 assert (zenon_L63_ : ((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> False). % 1.07/1.27 do 0 intro. intros zenon_Hb3 zenon_H3d zenon_H3a zenon_H35 zenon_H13 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H32 zenon_Hb1. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.27 apply (zenon_L62_); trivial. % 1.07/1.27 apply (zenon_L15_); trivial. % 1.07/1.27 (* end of lemma zenon_L63_ *) % 1.07/1.27 assert (zenon_L64_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp10)) -> (~(hskp11)) -> ((hskp10)\/((hskp11)\/(hskp13))) -> False). % 1.07/1.27 do 0 intro. intros zenon_Hb7 zenon_H3d zenon_H3a zenon_H35 zenon_H13 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H32 zenon_Hb1 zenon_H1 zenon_H3 zenon_H7. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.07/1.27 apply (zenon_L4_); trivial. % 1.07/1.27 apply (zenon_L63_); trivial. % 1.07/1.27 (* end of lemma zenon_L64_ *) % 1.07/1.27 assert (zenon_L65_ : (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42)))))) -> (ndr1_0) -> (~(c1_1 (a230))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7)))))) -> (c3_1 (a230)) -> False). % 1.07/1.27 do 0 intro. intros zenon_H74 zenon_H10 zenon_H75 zenon_Hdc zenon_H6d. % 1.07/1.27 generalize (zenon_H74 (a230)). zenon_intro zenon_H76. % 1.07/1.27 apply (zenon_imply_s _ _ zenon_H76); [ zenon_intro zenon_Hf | zenon_intro zenon_H77 ]. % 1.07/1.27 exact (zenon_Hf zenon_H10). % 1.07/1.27 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H79 | zenon_intro zenon_H78 ]. % 1.07/1.27 exact (zenon_H75 zenon_H79). % 1.07/1.27 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H6b | zenon_intro zenon_H72 ]. % 1.07/1.27 generalize (zenon_Hdc (a230)). zenon_intro zenon_Hdd. % 1.07/1.27 apply (zenon_imply_s _ _ zenon_Hdd); [ zenon_intro zenon_Hf | zenon_intro zenon_Hde ]. % 1.07/1.27 exact (zenon_Hf zenon_H10). % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H71 | zenon_intro zenon_Hdf ]. % 1.07/1.27 exact (zenon_H6b zenon_H71). % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H79 | zenon_intro zenon_H72 ]. % 1.07/1.27 exact (zenon_H75 zenon_H79). % 1.07/1.27 exact (zenon_H72 zenon_H6d). % 1.07/1.27 exact (zenon_H72 zenon_H6d). % 1.07/1.27 (* end of lemma zenon_L65_ *) % 1.07/1.27 assert (zenon_L66_ : ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7)))))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (ndr1_0) -> (~(hskp19)) -> False). % 1.07/1.27 do 0 intro. intros zenon_H7f zenon_Hdc zenon_H6d zenon_H6c zenon_H75 zenon_H10 zenon_H7d. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H74 | zenon_intro zenon_H80 ]. % 1.07/1.27 apply (zenon_L65_); trivial. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H7a | zenon_intro zenon_H7e ]. % 1.07/1.27 apply (zenon_L31_); trivial. % 1.07/1.27 exact (zenon_H7d zenon_H7e). % 1.07/1.27 (* end of lemma zenon_L66_ *) % 1.07/1.27 assert (zenon_L67_ : (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (c0_1 (a232)) -> (c1_1 (a232)) -> (c3_1 (a232)) -> False). % 1.07/1.27 do 0 intro. intros zenon_He0 zenon_H10 zenon_H29 zenon_He1 zenon_H2b. % 1.07/1.27 generalize (zenon_He0 (a232)). zenon_intro zenon_He2. % 1.07/1.27 apply (zenon_imply_s _ _ zenon_He2); [ zenon_intro zenon_Hf | zenon_intro zenon_He3 ]. % 1.07/1.27 exact (zenon_Hf zenon_H10). % 1.07/1.27 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H2f | zenon_intro zenon_He4 ]. % 1.07/1.27 exact (zenon_H2f zenon_H29). % 1.07/1.27 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He5 | zenon_intro zenon_H30 ]. % 1.07/1.27 exact (zenon_He5 zenon_He1). % 1.07/1.27 exact (zenon_H30 zenon_H2b). % 1.07/1.27 (* end of lemma zenon_L67_ *) % 1.07/1.27 assert (zenon_L68_ : (forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34)))))) -> (ndr1_0) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (c0_1 (a232)) -> (c3_1 (a232)) -> (c2_1 (a232)) -> False). % 1.07/1.27 do 0 intro. intros zenon_H7a zenon_H10 zenon_He0 zenon_H29 zenon_H2b zenon_H2a. % 1.07/1.27 generalize (zenon_H7a (a232)). zenon_intro zenon_He6. % 1.07/1.27 apply (zenon_imply_s _ _ zenon_He6); [ zenon_intro zenon_Hf | zenon_intro zenon_He7 ]. % 1.07/1.27 exact (zenon_Hf zenon_H10). % 1.07/1.27 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_He1 | zenon_intro zenon_H2e ]. % 1.07/1.27 apply (zenon_L67_); trivial. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ]. % 1.07/1.27 exact (zenon_H31 zenon_H2a). % 1.07/1.27 exact (zenon_H30 zenon_H2b). % 1.07/1.27 (* end of lemma zenon_L68_ *) % 1.07/1.27 assert (zenon_L69_ : ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c2_1 (a232)) -> (c3_1 (a232)) -> (c0_1 (a232)) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(hskp19)) -> False). % 1.07/1.27 do 0 intro. intros zenon_H7f zenon_H2a zenon_H2b zenon_H29 zenon_He0 zenon_H10 zenon_H7d. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H74 | zenon_intro zenon_H80 ]. % 1.07/1.27 generalize (zenon_H74 (a232)). zenon_intro zenon_He8. % 1.07/1.27 apply (zenon_imply_s _ _ zenon_He8); [ zenon_intro zenon_Hf | zenon_intro zenon_He9 ]. % 1.07/1.27 exact (zenon_Hf zenon_H10). % 1.07/1.27 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He1 | zenon_intro zenon_Hea ]. % 1.07/1.27 apply (zenon_L67_); trivial. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H2f | zenon_intro zenon_H30 ]. % 1.07/1.27 exact (zenon_H2f zenon_H29). % 1.07/1.27 exact (zenon_H30 zenon_H2b). % 1.07/1.27 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H7a | zenon_intro zenon_H7e ]. % 1.07/1.27 apply (zenon_L68_); trivial. % 1.07/1.27 exact (zenon_H7d zenon_H7e). % 1.07/1.27 (* end of lemma zenon_L69_ *) % 1.07/1.27 assert (zenon_L70_ : ((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c1_1 (a230))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> False). % 1.07/1.27 do 0 intro. intros zenon_H34 zenon_Heb zenon_H75 zenon_H6d zenon_H6c zenon_H7d zenon_H7f. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.07/1.27 apply (zenon_L66_); trivial. % 1.07/1.27 apply (zenon_L69_); trivial. % 1.07/1.27 (* end of lemma zenon_L70_ *) % 1.07/1.27 assert (zenon_L71_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c1_1 (a230))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a238))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> False). % 1.07/1.27 do 0 intro. intros zenon_H3a zenon_Heb zenon_H75 zenon_H6d zenon_H6c zenon_H7d zenon_H7f zenon_H10 zenon_H16 zenon_H15 zenon_H14 zenon_H13. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.07/1.27 apply (zenon_L10_); trivial. % 1.07/1.27 apply (zenon_L70_); trivial. % 1.07/1.27 (* end of lemma zenon_L71_ *) % 1.07/1.27 assert (zenon_L72_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> (~(hskp0)) -> False). % 1.07/1.27 do 0 intro. intros zenon_Ha1 zenon_Hec zenon_H9d zenon_H9f zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H32. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H46 | zenon_intro zenon_Hed ]. % 1.07/1.27 apply (zenon_L39_); trivial. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H33 ]. % 1.07/1.27 apply (zenon_L61_); trivial. % 1.07/1.27 exact (zenon_H32 zenon_H33). % 1.07/1.27 (* end of lemma zenon_L72_ *) % 1.07/1.27 assert (zenon_L73_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.07/1.27 do 0 intro. intros zenon_H39 zenon_Ha5 zenon_Hec zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H32 zenon_H9d zenon_H9f zenon_H13 zenon_H7f zenon_H6c zenon_H6d zenon_H75 zenon_Heb zenon_H3a. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.07/1.27 apply (zenon_L71_); trivial. % 1.07/1.27 apply (zenon_L72_); trivial. % 1.07/1.27 (* end of lemma zenon_L73_ *) % 1.07/1.27 assert (zenon_L74_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> (ndr1_0) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> False). % 1.07/1.27 do 0 intro. intros zenon_H3d zenon_Ha5 zenon_Hec zenon_H9d zenon_H9f zenon_H13 zenon_H7f zenon_H6c zenon_H6d zenon_H75 zenon_Heb zenon_H3a zenon_H10 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H32 zenon_Hb1. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.27 apply (zenon_L62_); trivial. % 1.07/1.27 apply (zenon_L73_); trivial. % 1.07/1.27 (* end of lemma zenon_L74_ *) % 1.07/1.27 assert (zenon_L75_ : ((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> (~(hskp0)) -> False). % 1.07/1.27 do 0 intro. intros zenon_H52 zenon_Hec zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H32. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H10. zenon_intro zenon_H54. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H55. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H49. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H46 | zenon_intro zenon_Hed ]. % 1.07/1.27 apply (zenon_L21_); trivial. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H33 ]. % 1.07/1.27 apply (zenon_L61_); trivial. % 1.07/1.27 exact (zenon_H32 zenon_H33). % 1.07/1.27 (* end of lemma zenon_L75_ *) % 1.07/1.27 assert (zenon_L76_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp13)) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp18)) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> False). % 1.07/1.27 do 0 intro. intros zenon_H69 zenon_H65 zenon_H5 zenon_H62 zenon_H44 zenon_H40 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H32 zenon_Hec zenon_H57. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H42 | zenon_intro zenon_H52 ]. % 1.07/1.27 apply (zenon_L20_); trivial. % 1.07/1.27 apply (zenon_L75_); trivial. % 1.07/1.27 apply (zenon_L27_); trivial. % 1.07/1.27 (* end of lemma zenon_L76_ *) % 1.07/1.27 assert (zenon_L77_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c3_1 (a235))) -> (~(c1_1 (a235))) -> (~(c0_1 (a235))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp4)) -> (~(hskp13)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.07/1.27 do 0 intro. intros zenon_Hb4 zenon_Hc2 zenon_Hbb zenon_Hba zenon_Hb9 zenon_H57 zenon_Hec zenon_H32 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H44 zenon_H62 zenon_H5 zenon_H65 zenon_H69. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.07/1.27 apply (zenon_L76_); trivial. % 1.07/1.27 apply (zenon_L49_); trivial. % 1.07/1.27 (* end of lemma zenon_L77_ *) % 1.07/1.27 assert (zenon_L78_ : ((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> False). % 1.07/1.27 do 0 intro. intros zenon_Hc4 zenon_Hb7 zenon_H3d zenon_H3a zenon_H35 zenon_H13 zenon_Hb1 zenon_H69 zenon_H65 zenon_H62 zenon_H44 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H32 zenon_Hec zenon_H57 zenon_Hc2 zenon_Hb4. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.07/1.27 apply (zenon_L77_); trivial. % 1.07/1.27 apply (zenon_L63_); trivial. % 1.07/1.27 (* end of lemma zenon_L78_ *) % 1.07/1.27 assert (zenon_L79_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.07/1.27 do 0 intro. intros zenon_Hee zenon_Hc7 zenon_Hb7 zenon_H35 zenon_H69 zenon_H65 zenon_H62 zenon_H44 zenon_H57 zenon_Hc2 zenon_Hb4 zenon_Hb1 zenon_H32 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H3a zenon_Heb zenon_H7f zenon_H13 zenon_H9f zenon_Hec zenon_Ha5 zenon_H3d. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.07/1.27 apply (zenon_L74_); trivial. % 1.07/1.27 apply (zenon_L78_); trivial. % 1.07/1.27 (* end of lemma zenon_L79_ *) % 1.07/1.27 assert (zenon_L80_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((hskp10)\/((hskp11)\/(hskp13))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> False). % 1.07/1.27 do 0 intro. intros zenon_Hf1 zenon_Hc7 zenon_H69 zenon_H65 zenon_H62 zenon_H44 zenon_H57 zenon_Hc2 zenon_Hb4 zenon_Heb zenon_H7f zenon_H9f zenon_Hec zenon_Ha5 zenon_H7 zenon_H1 zenon_Hb1 zenon_H32 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H13 zenon_H35 zenon_H3a zenon_H3d zenon_Hb7. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.07/1.27 apply (zenon_L64_); trivial. % 1.07/1.27 apply (zenon_L79_); trivial. % 1.07/1.27 (* end of lemma zenon_L80_ *) % 1.07/1.27 assert (zenon_L81_ : ((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> False). % 1.07/1.27 do 0 intro. intros zenon_Hf2 zenon_Hb7 zenon_H3d zenon_H3a zenon_H35 zenon_H13 zenon_Hb1 zenon_Hd1 zenon_H69 zenon_H65 zenon_H62 zenon_H44 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H32 zenon_Hec zenon_H57 zenon_H8b zenon_H8d zenon_Hb4. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.07/1.27 apply (zenon_L76_); trivial. % 1.07/1.27 apply (zenon_L55_); trivial. % 1.07/1.27 apply (zenon_L59_); trivial. % 1.07/1.27 (* end of lemma zenon_L81_ *) % 1.07/1.27 assert (zenon_L82_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((hskp10)\/((hskp11)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> False). % 1.07/1.27 do 0 intro. intros zenon_Hf5 zenon_Hd1 zenon_H8b zenon_H8d zenon_Hb7 zenon_H3d zenon_H3a zenon_H35 zenon_H13 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H32 zenon_Hb1 zenon_H7 zenon_Ha5 zenon_Hec zenon_H9f zenon_H7f zenon_Heb zenon_Hb4 zenon_Hc2 zenon_H57 zenon_H44 zenon_H62 zenon_H65 zenon_H69 zenon_Hc7 zenon_Hf1. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.07/1.27 apply (zenon_L80_); trivial. % 1.07/1.27 apply (zenon_L81_); trivial. % 1.07/1.27 (* end of lemma zenon_L82_ *) % 1.07/1.27 assert (zenon_L83_ : ((hskp24)\/((hskp8)\/(hskp10))) -> (~(hskp24)) -> (~(hskp8)) -> (~(hskp10)) -> False). % 1.07/1.27 do 0 intro. intros zenon_Hf6 zenon_Hf7 zenon_H50 zenon_H1. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hf8 ]. % 1.07/1.27 exact (zenon_Hf7 zenon_Hf9). % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_H51 | zenon_intro zenon_H2 ]. % 1.07/1.27 exact (zenon_H50 zenon_H51). % 1.07/1.27 exact (zenon_H1 zenon_H2). % 1.07/1.27 (* end of lemma zenon_L83_ *) % 1.07/1.27 assert (zenon_L84_ : (forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13)))))) -> (~(c1_1 (a282))) -> (c0_1 (a282)) -> (~(c3_1 (a282))) -> False). % 1.07/1.27 do 0 intro. intros zenon_Ha8 zenon_H10 zenon_Hfa zenon_Hfb zenon_Hfc zenon_Hfd. % 1.07/1.27 generalize (zenon_Ha8 (a282)). zenon_intro zenon_Hfe. % 1.07/1.27 apply (zenon_imply_s _ _ zenon_Hfe); [ zenon_intro zenon_Hf | zenon_intro zenon_Hff ]. % 1.07/1.27 exact (zenon_Hf zenon_H10). % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H101 | zenon_intro zenon_H100 ]. % 1.07/1.27 generalize (zenon_Hfa (a282)). zenon_intro zenon_H102. % 1.07/1.27 apply (zenon_imply_s _ _ zenon_H102); [ zenon_intro zenon_Hf | zenon_intro zenon_H103 ]. % 1.07/1.27 exact (zenon_Hf zenon_H10). % 1.07/1.27 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ]. % 1.07/1.27 exact (zenon_Hfb zenon_H105). % 1.07/1.27 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H107 | zenon_intro zenon_H106 ]. % 1.07/1.27 exact (zenon_H107 zenon_Hfc). % 1.07/1.27 exact (zenon_H106 zenon_H101). % 1.07/1.27 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ]. % 1.07/1.27 exact (zenon_Hfd zenon_H108). % 1.07/1.27 exact (zenon_H107 zenon_Hfc). % 1.07/1.27 (* end of lemma zenon_L84_ *) % 1.07/1.27 assert (zenon_L85_ : ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(c3_1 (a282))) -> (c0_1 (a282)) -> (~(c1_1 (a282))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13)))))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp0)) -> False). % 1.07/1.27 do 0 intro. intros zenon_Hb1 zenon_Hfd zenon_Hfc zenon_Hfb zenon_Hfa zenon_H10 zenon_H9 zenon_H32. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb2 ]. % 1.07/1.27 apply (zenon_L84_); trivial. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha | zenon_intro zenon_H33 ]. % 1.07/1.27 exact (zenon_H9 zenon_Ha). % 1.07/1.27 exact (zenon_H32 zenon_H33). % 1.07/1.27 (* end of lemma zenon_L85_ *) % 1.07/1.27 assert (zenon_L86_ : (~(hskp28)) -> (hskp28) -> False). % 1.07/1.27 do 0 intro. intros zenon_H109 zenon_H10a. % 1.07/1.27 exact (zenon_H109 zenon_H10a). % 1.07/1.27 (* end of lemma zenon_L86_ *) % 1.07/1.27 assert (zenon_L87_ : (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (c0_1 (a246)) -> (c1_1 (a246)) -> (c2_1 (a246)) -> False). % 1.07/1.27 do 0 intro. intros zenon_H10b zenon_H10 zenon_H10c zenon_H10d zenon_H10e. % 1.07/1.27 generalize (zenon_H10b (a246)). zenon_intro zenon_H10f. % 1.07/1.27 apply (zenon_imply_s _ _ zenon_H10f); [ zenon_intro zenon_Hf | zenon_intro zenon_H110 ]. % 1.07/1.27 exact (zenon_Hf zenon_H10). % 1.07/1.27 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H112 | zenon_intro zenon_H111 ]. % 1.07/1.27 exact (zenon_H112 zenon_H10c). % 1.07/1.27 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H114 | zenon_intro zenon_H113 ]. % 1.07/1.27 exact (zenon_H114 zenon_H10d). % 1.07/1.27 exact (zenon_H113 zenon_H10e). % 1.07/1.27 (* end of lemma zenon_L87_ *) % 1.07/1.27 assert (zenon_L88_ : (forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88)))))) -> (ndr1_0) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (c0_1 (a246)) -> (c1_1 (a246)) -> (c2_1 (a246)) -> False). % 1.07/1.27 do 0 intro. intros zenon_H17 zenon_H10 zenon_He0 zenon_H10c zenon_H10d zenon_H10e. % 1.07/1.27 generalize (zenon_H17 (a246)). zenon_intro zenon_H115. % 1.07/1.27 apply (zenon_imply_s _ _ zenon_H115); [ zenon_intro zenon_Hf | zenon_intro zenon_H116 ]. % 1.07/1.27 exact (zenon_Hf zenon_H10). % 1.07/1.27 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H118 | zenon_intro zenon_H117 ]. % 1.07/1.27 generalize (zenon_He0 (a246)). zenon_intro zenon_H119. % 1.07/1.27 apply (zenon_imply_s _ _ zenon_H119); [ zenon_intro zenon_Hf | zenon_intro zenon_H11a ]. % 1.07/1.27 exact (zenon_Hf zenon_H10). % 1.07/1.27 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H112 | zenon_intro zenon_H11b ]. % 1.07/1.27 exact (zenon_H112 zenon_H10c). % 1.07/1.27 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H114 | zenon_intro zenon_H11c ]. % 1.07/1.27 exact (zenon_H114 zenon_H10d). % 1.07/1.27 exact (zenon_H11c zenon_H118). % 1.07/1.27 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H112 | zenon_intro zenon_H113 ]. % 1.07/1.27 exact (zenon_H112 zenon_H10c). % 1.07/1.27 exact (zenon_H113 zenon_H10e). % 1.07/1.27 (* end of lemma zenon_L88_ *) % 1.07/1.27 assert (zenon_L89_ : ((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp27)) -> (~(hskp20)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> False). % 1.07/1.27 do 0 intro. intros zenon_H11d zenon_H13 zenon_H11 zenon_H3e zenon_H11e. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H13); [ zenon_intro zenon_H17 | zenon_intro zenon_H12 ]. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H10b | zenon_intro zenon_H121 ]. % 1.07/1.27 apply (zenon_L87_); trivial. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_He0 | zenon_intro zenon_H3f ]. % 1.07/1.27 apply (zenon_L88_); trivial. % 1.07/1.27 exact (zenon_H3e zenon_H3f). % 1.07/1.27 exact (zenon_H11 zenon_H12). % 1.07/1.27 (* end of lemma zenon_L89_ *) % 1.07/1.27 assert (zenon_L90_ : (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42)))))) -> (ndr1_0) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> False). % 1.07/1.27 do 0 intro. intros zenon_H74 zenon_H10 zenon_H122 zenon_H123 zenon_H124. % 1.07/1.27 generalize (zenon_H74 (a224)). zenon_intro zenon_H125. % 1.07/1.27 apply (zenon_imply_s _ _ zenon_H125); [ zenon_intro zenon_Hf | zenon_intro zenon_H126 ]. % 1.07/1.27 exact (zenon_Hf zenon_H10). % 1.07/1.27 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H128 | zenon_intro zenon_H127 ]. % 1.07/1.27 exact (zenon_H122 zenon_H128). % 1.07/1.27 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H12a | zenon_intro zenon_H129 ]. % 1.07/1.27 exact (zenon_H12a zenon_H123). % 1.07/1.27 exact (zenon_H129 zenon_H124). % 1.07/1.27 (* end of lemma zenon_L90_ *) % 1.07/1.27 assert (zenon_L91_ : (forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34)))))) -> (ndr1_0) -> (~(c1_1 (a224))) -> (c2_1 (a224)) -> (c3_1 (a224)) -> False). % 1.07/1.27 do 0 intro. intros zenon_H7a zenon_H10 zenon_H122 zenon_H12b zenon_H124. % 1.07/1.27 generalize (zenon_H7a (a224)). zenon_intro zenon_H12c. % 1.07/1.27 apply (zenon_imply_s _ _ zenon_H12c); [ zenon_intro zenon_Hf | zenon_intro zenon_H12d ]. % 1.07/1.27 exact (zenon_Hf zenon_H10). % 1.07/1.27 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H128 | zenon_intro zenon_H12e ]. % 1.07/1.27 exact (zenon_H122 zenon_H128). % 1.07/1.27 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H12f | zenon_intro zenon_H129 ]. % 1.07/1.27 exact (zenon_H12f zenon_H12b). % 1.07/1.27 exact (zenon_H129 zenon_H124). % 1.07/1.27 (* end of lemma zenon_L91_ *) % 1.07/1.27 assert (zenon_L92_ : (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31)))))) -> (ndr1_0) -> (~(c1_1 (a224))) -> (forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34)))))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> False). % 1.07/1.27 do 0 intro. intros zenon_H130 zenon_H10 zenon_H122 zenon_H7a zenon_H124 zenon_H123. % 1.07/1.27 generalize (zenon_H130 (a224)). zenon_intro zenon_H131. % 1.07/1.27 apply (zenon_imply_s _ _ zenon_H131); [ zenon_intro zenon_Hf | zenon_intro zenon_H132 ]. % 1.07/1.27 exact (zenon_Hf zenon_H10). % 1.07/1.27 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H128 | zenon_intro zenon_H133 ]. % 1.07/1.27 exact (zenon_H122 zenon_H128). % 1.07/1.27 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H12b | zenon_intro zenon_H12a ]. % 1.07/1.27 apply (zenon_L91_); trivial. % 1.07/1.27 exact (zenon_H12a zenon_H123). % 1.07/1.27 (* end of lemma zenon_L92_ *) % 1.07/1.27 assert (zenon_L93_ : ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> (~(c1_1 (a224))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31)))))) -> (~(hskp19)) -> False). % 1.07/1.27 do 0 intro. intros zenon_H7f zenon_H123 zenon_H124 zenon_H122 zenon_H10 zenon_H130 zenon_H7d. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H74 | zenon_intro zenon_H80 ]. % 1.07/1.27 apply (zenon_L90_); trivial. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H7a | zenon_intro zenon_H7e ]. % 1.07/1.27 apply (zenon_L92_); trivial. % 1.07/1.27 exact (zenon_H7d zenon_H7e). % 1.07/1.27 (* end of lemma zenon_L93_ *) % 1.07/1.27 assert (zenon_L94_ : ((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> (~(hskp19)) -> (~(c1_1 (a224))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(hskp11)) -> False). % 1.07/1.27 do 0 intro. intros zenon_H34 zenon_H134 zenon_H7d zenon_H122 zenon_H124 zenon_H123 zenon_H7f zenon_H3. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H130 | zenon_intro zenon_H135 ]. % 1.07/1.27 apply (zenon_L93_); trivial. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H28 | zenon_intro zenon_H4 ]. % 1.07/1.27 apply (zenon_L12_); trivial. % 1.07/1.27 exact (zenon_H3 zenon_H4). % 1.07/1.27 (* end of lemma zenon_L94_ *) % 1.07/1.27 assert (zenon_L95_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> False). % 1.07/1.27 do 0 intro. intros zenon_Hee zenon_Hc7 zenon_Hc2 zenon_Hb4 zenon_Ha5 zenon_H9f zenon_H7f zenon_H8b zenon_H8d zenon_H57 zenon_H53 zenon_H32 zenon_H50 zenon_H44 zenon_H62 zenon_H65 zenon_H69 zenon_Hb1 zenon_H13 zenon_H35 zenon_H3a zenon_H3d zenon_Hb7. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.07/1.27 apply (zenon_L53_); trivial. % 1.07/1.27 (* end of lemma zenon_L95_ *) % 1.07/1.27 assert (zenon_L96_ : ((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> False). % 1.07/1.27 do 0 intro. intros zenon_Hf2 zenon_Hb7 zenon_H3d zenon_H3a zenon_H35 zenon_H13 zenon_Hb1 zenon_Hd1 zenon_H69 zenon_H65 zenon_H62 zenon_H44 zenon_H50 zenon_H32 zenon_H53 zenon_H57 zenon_H8b zenon_H8d zenon_Hb4. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.07/1.27 apply (zenon_L60_); trivial. % 1.07/1.27 (* end of lemma zenon_L96_ *) % 1.07/1.27 assert (zenon_L97_ : ((ndr1_0)/\((c0_1 (a225))/\((~(c2_1 (a225)))/\(~(c3_1 (a225)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((hskp10)\/((hskp11)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> False). % 1.07/1.27 do 0 intro. intros zenon_H136 zenon_Hf5 zenon_Hd1 zenon_H8b zenon_H8d zenon_Hb7 zenon_H3d zenon_H3a zenon_H35 zenon_H13 zenon_H32 zenon_Hb1 zenon_H7 zenon_Ha5 zenon_Hec zenon_H9f zenon_H7f zenon_Heb zenon_Hb4 zenon_Hc2 zenon_H57 zenon_H44 zenon_H62 zenon_H65 zenon_H69 zenon_Hc7 zenon_Hf1. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.07/1.27 apply (zenon_L82_); trivial. % 1.07/1.27 (* end of lemma zenon_L97_ *) % 1.07/1.27 assert (zenon_L98_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a225))/\((~(c2_1 (a225)))/\(~(c3_1 (a225))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((hskp24)\/((hskp8)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a282))/\((~(c1_1 (a282)))/\(~(c3_1 (a282))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((hskp10)\/((hskp11)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229))))))) -> False). % 1.07/1.27 do 0 intro. intros zenon_H139 zenon_Hec zenon_Heb zenon_Hf1 zenon_H8b zenon_H8d zenon_Hb7 zenon_H3d zenon_H69 zenon_H35 zenon_Hf6 zenon_H13a zenon_H13 zenon_H11e zenon_Hb1 zenon_H32 zenon_H13b zenon_H7f zenon_H124 zenon_H123 zenon_H122 zenon_H134 zenon_H3a zenon_H13c zenon_H9f zenon_H53 zenon_Ha5 zenon_H7 zenon_Hb4 zenon_Hc2 zenon_H57 zenon_H44 zenon_H62 zenon_H65 zenon_Hc7 zenon_Hd1 zenon_Hf5. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.07/1.27 apply (zenon_L4_); trivial. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.07/1.27 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.27 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H13d ]. % 1.07/1.27 apply (zenon_L83_); trivial. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_Hfc. zenon_intro zenon_H13f. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_Hfb. zenon_intro zenon_Hfd. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfa | zenon_intro zenon_H140 ]. % 1.07/1.27 apply (zenon_L85_); trivial. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H10a | zenon_intro zenon_Ha ]. % 1.07/1.27 exact (zenon_H109 zenon_H10a). % 1.07/1.27 exact (zenon_H9 zenon_Ha). % 1.07/1.27 apply (zenon_L89_); trivial. % 1.07/1.27 apply (zenon_L94_); trivial. % 1.07/1.27 apply (zenon_L44_); trivial. % 1.07/1.27 apply (zenon_L40_); trivial. % 1.07/1.27 apply (zenon_L15_); trivial. % 1.07/1.27 apply (zenon_L52_); trivial. % 1.07/1.27 apply (zenon_L95_); trivial. % 1.07/1.27 apply (zenon_L96_); trivial. % 1.07/1.27 apply (zenon_L97_); trivial. % 1.07/1.27 (* end of lemma zenon_L98_ *) % 1.07/1.27 assert (zenon_L99_ : (forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (ndr1_0) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> False). % 1.07/1.27 do 0 intro. intros zenon_H141 zenon_H10 zenon_H142 zenon_H143 zenon_H144. % 1.07/1.27 generalize (zenon_H141 (a221)). zenon_intro zenon_H145. % 1.07/1.27 apply (zenon_imply_s _ _ zenon_H145); [ zenon_intro zenon_Hf | zenon_intro zenon_H146 ]. % 1.07/1.27 exact (zenon_Hf zenon_H10). % 1.07/1.27 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H148 | zenon_intro zenon_H147 ]. % 1.07/1.27 exact (zenon_H142 zenon_H148). % 1.07/1.27 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ]. % 1.07/1.27 exact (zenon_H14a zenon_H143). % 1.07/1.27 exact (zenon_H149 zenon_H144). % 1.07/1.27 (* end of lemma zenon_L99_ *) % 1.07/1.27 assert (zenon_L100_ : (~(hskp21)) -> (hskp21) -> False). % 1.07/1.27 do 0 intro. intros zenon_H14b zenon_H14c. % 1.07/1.27 exact (zenon_H14b zenon_H14c). % 1.07/1.27 (* end of lemma zenon_L100_ *) % 1.07/1.27 assert (zenon_L101_ : ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp21)) -> False). % 1.07/1.27 do 0 intro. intros zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H10 zenon_H3e zenon_H14b. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H141 | zenon_intro zenon_H14e ]. % 1.07/1.27 apply (zenon_L99_); trivial. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H3f | zenon_intro zenon_H14c ]. % 1.07/1.27 exact (zenon_H3e zenon_H3f). % 1.07/1.27 exact (zenon_H14b zenon_H14c). % 1.07/1.27 (* end of lemma zenon_L101_ *) % 1.07/1.27 assert (zenon_L102_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a260))) -> (~(c2_1 (a260))) -> (c1_1 (a260)) -> False). % 1.07/1.27 do 0 intro. intros zenon_H14f zenon_H10 zenon_H150 zenon_H151 zenon_H152. % 1.07/1.27 generalize (zenon_H14f (a260)). zenon_intro zenon_H153. % 1.07/1.27 apply (zenon_imply_s _ _ zenon_H153); [ zenon_intro zenon_Hf | zenon_intro zenon_H154 ]. % 1.07/1.27 exact (zenon_Hf zenon_H10). % 1.07/1.27 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H156 | zenon_intro zenon_H155 ]. % 1.07/1.27 exact (zenon_H150 zenon_H156). % 1.07/1.27 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H158 | zenon_intro zenon_H157 ]. % 1.07/1.27 exact (zenon_H151 zenon_H158). % 1.07/1.27 exact (zenon_H157 zenon_H152). % 1.07/1.27 (* end of lemma zenon_L102_ *) % 1.07/1.27 assert (zenon_L103_ : ((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> (~(hskp11)) -> False). % 1.07/1.27 do 0 intro. intros zenon_H159 zenon_H15a zenon_H1 zenon_H3. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H10. zenon_intro zenon_H15b. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H152. zenon_intro zenon_H15c. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H14f | zenon_intro zenon_H15d ]. % 1.07/1.27 apply (zenon_L102_); trivial. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H2 | zenon_intro zenon_H4 ]. % 1.07/1.27 exact (zenon_H1 zenon_H2). % 1.07/1.27 exact (zenon_H3 zenon_H4). % 1.07/1.27 (* end of lemma zenon_L103_ *) % 1.07/1.27 assert (zenon_L104_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (ndr1_0) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> (~(hskp20)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> False). % 1.07/1.27 do 0 intro. intros zenon_H15e zenon_H15a zenon_H3 zenon_H1 zenon_H10 zenon_H142 zenon_H143 zenon_H144 zenon_H3e zenon_H14d. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14b | zenon_intro zenon_H159 ]. % 1.07/1.27 apply (zenon_L101_); trivial. % 1.07/1.27 apply (zenon_L103_); trivial. % 1.07/1.27 (* end of lemma zenon_L104_ *) % 1.07/1.27 assert (zenon_L105_ : (~(hskp3)) -> (hskp3) -> False). % 1.07/1.27 do 0 intro. intros zenon_H15f zenon_H160. % 1.07/1.27 exact (zenon_H15f zenon_H160). % 1.07/1.27 (* end of lemma zenon_L105_ *) % 1.07/1.27 assert (zenon_L106_ : ((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp8)\/(hskp3))) -> (~(hskp8)) -> (~(hskp3)) -> False). % 1.07/1.27 do 0 intro. intros zenon_H64 zenon_H161 zenon_H50 zenon_H15f. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H10. zenon_intro zenon_H66. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5a. zenon_intro zenon_H67. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H58 | zenon_intro zenon_H162 ]. % 1.07/1.27 apply (zenon_L25_); trivial. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H51 | zenon_intro zenon_H160 ]. % 1.07/1.27 exact (zenon_H50 zenon_H51). % 1.07/1.27 exact (zenon_H15f zenon_H160). % 1.07/1.27 (* end of lemma zenon_L106_ *) % 1.07/1.27 assert (zenon_L107_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp8)\/(hskp3))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.07/1.27 do 0 intro. intros zenon_H69 zenon_H161 zenon_H15f zenon_H50 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H10 zenon_H1 zenon_H3 zenon_H15a zenon_H15e. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.07/1.27 apply (zenon_L104_); trivial. % 1.07/1.27 apply (zenon_L106_); trivial. % 1.07/1.27 (* end of lemma zenon_L107_ *) % 1.07/1.27 assert (zenon_L108_ : ((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> (~(hskp19)) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(hskp3)) -> False). % 1.07/1.27 do 0 intro. intros zenon_H159 zenon_H163 zenon_H7d zenon_H75 zenon_H6c zenon_H6d zenon_H7f zenon_H15f. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H10. zenon_intro zenon_H15b. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H152. zenon_intro zenon_H15c. % 1.07/1.27 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hdc | zenon_intro zenon_H164 ]. % 1.07/1.27 apply (zenon_L66_); trivial. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H14f | zenon_intro zenon_H160 ]. % 1.07/1.27 apply (zenon_L102_); trivial. % 1.07/1.27 exact (zenon_H15f zenon_H160). % 1.07/1.27 (* end of lemma zenon_L108_ *) % 1.07/1.27 assert (zenon_L109_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a230))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (ndr1_0) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> (~(hskp20)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> False). % 1.07/1.27 do 0 intro. intros zenon_H15e zenon_H163 zenon_H15f zenon_H75 zenon_H6d zenon_H6c zenon_H7d zenon_H7f zenon_H10 zenon_H142 zenon_H143 zenon_H144 zenon_H3e zenon_H14d. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14b | zenon_intro zenon_H159 ]. % 1.07/1.27 apply (zenon_L101_); trivial. % 1.07/1.27 apply (zenon_L108_); trivial. % 1.07/1.27 (* end of lemma zenon_L109_ *) % 1.07/1.27 assert (zenon_L110_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp8)\/(hskp3))) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.07/1.27 do 0 intro. intros zenon_H69 zenon_H161 zenon_H50 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H10 zenon_H7f zenon_H7d zenon_H6c zenon_H6d zenon_H75 zenon_H15f zenon_H163 zenon_H15e. % 1.07/1.27 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.07/1.27 apply (zenon_L109_); trivial. % 1.07/1.27 apply (zenon_L106_); trivial. % 1.07/1.27 (* end of lemma zenon_L110_ *) % 1.07/1.27 assert (zenon_L111_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp8)\/(hskp3))) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_Hee zenon_Hc7 zenon_Hb7 zenon_H3d zenon_H3a zenon_H35 zenon_H13 zenon_Hb1 zenon_H65 zenon_H62 zenon_H44 zenon_H57 zenon_Hc2 zenon_Hb4 zenon_H69 zenon_H161 zenon_H50 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H7f zenon_H15f zenon_H163 zenon_H15e zenon_H9f zenon_H32 zenon_H53 zenon_Ha5. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.07/1.29 apply (zenon_L110_); trivial. % 1.07/1.29 apply (zenon_L40_); trivial. % 1.07/1.29 apply (zenon_L52_); trivial. % 1.07/1.29 (* end of lemma zenon_L111_ *) % 1.07/1.29 assert (zenon_L112_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> (ndr1_0) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (~(hskp8)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp8)\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_Hf1 zenon_Hc7 zenon_Hb7 zenon_H3d zenon_H3a zenon_H35 zenon_H13 zenon_Hb1 zenon_H65 zenon_H62 zenon_H44 zenon_H57 zenon_Hc2 zenon_Hb4 zenon_H7f zenon_H163 zenon_H9f zenon_H32 zenon_H53 zenon_Ha5 zenon_H15e zenon_H15a zenon_H1 zenon_H10 zenon_H142 zenon_H143 zenon_H144 zenon_H14d zenon_H50 zenon_H15f zenon_H161 zenon_H69. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.07/1.29 apply (zenon_L107_); trivial. % 1.07/1.29 apply (zenon_L111_); trivial. % 1.07/1.29 (* end of lemma zenon_L112_ *) % 1.07/1.29 assert (zenon_L113_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a229))) -> (~(c1_1 (a229))) -> (c3_1 (a229)) -> False). % 1.07/1.29 do 0 intro. intros zenon_Hdc zenon_H10 zenon_Hc8 zenon_H165 zenon_Hca. % 1.07/1.29 generalize (zenon_Hdc (a229)). zenon_intro zenon_H166. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H166); [ zenon_intro zenon_Hf | zenon_intro zenon_H167 ]. % 1.07/1.29 exact (zenon_Hf zenon_H10). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_Hce | zenon_intro zenon_H168 ]. % 1.07/1.29 exact (zenon_Hc8 zenon_Hce). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H169 | zenon_intro zenon_Hcf ]. % 1.07/1.29 exact (zenon_H165 zenon_H169). % 1.07/1.29 exact (zenon_Hcf zenon_Hca). % 1.07/1.29 (* end of lemma zenon_L113_ *) % 1.07/1.29 assert (zenon_L114_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a229))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7)))))) -> (c3_1 (a229)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H16a zenon_H10 zenon_Hc8 zenon_Hdc zenon_Hca. % 1.07/1.29 generalize (zenon_H16a (a229)). zenon_intro zenon_H16b. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H16b); [ zenon_intro zenon_Hf | zenon_intro zenon_H16c ]. % 1.07/1.29 exact (zenon_Hf zenon_H10). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_Hce | zenon_intro zenon_H16d ]. % 1.07/1.29 exact (zenon_Hc8 zenon_Hce). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H165 | zenon_intro zenon_Hcf ]. % 1.07/1.29 apply (zenon_L113_); trivial. % 1.07/1.29 exact (zenon_Hcf zenon_Hca). % 1.07/1.29 (* end of lemma zenon_L114_ *) % 1.07/1.29 assert (zenon_L115_ : (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H16e zenon_H10 zenon_H10b zenon_H15 zenon_H14 zenon_H16. % 1.07/1.29 generalize (zenon_H16e (a238)). zenon_intro zenon_H16f. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H16f); [ zenon_intro zenon_Hf | zenon_intro zenon_H170 ]. % 1.07/1.29 exact (zenon_Hf zenon_H10). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H172 | zenon_intro zenon_H171 ]. % 1.07/1.29 generalize (zenon_H10b (a238)). zenon_intro zenon_H173. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H173); [ zenon_intro zenon_Hf | zenon_intro zenon_H174 ]. % 1.07/1.29 exact (zenon_Hf zenon_H10). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H1d | zenon_intro zenon_H175 ]. % 1.07/1.29 exact (zenon_H1d zenon_H15). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H176 | zenon_intro zenon_H1c ]. % 1.07/1.29 exact (zenon_H176 zenon_H172). % 1.07/1.29 exact (zenon_H1c zenon_H14). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H1b | zenon_intro zenon_H1c ]. % 1.07/1.29 exact (zenon_H16 zenon_H1b). % 1.07/1.29 exact (zenon_H1c zenon_H14). % 1.07/1.29 (* end of lemma zenon_L115_ *) % 1.07/1.29 assert (zenon_L116_ : (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (c0_1 (a247)) -> (c1_1 (a247)) -> (c3_1 (a247)) -> False). % 1.07/1.29 do 0 intro. intros zenon_He0 zenon_H10 zenon_H83 zenon_H177 zenon_H84. % 1.07/1.29 generalize (zenon_He0 (a247)). zenon_intro zenon_H178. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H178); [ zenon_intro zenon_Hf | zenon_intro zenon_H179 ]. % 1.07/1.29 exact (zenon_Hf zenon_H10). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H8a | zenon_intro zenon_H17a ]. % 1.07/1.29 exact (zenon_H8a zenon_H83). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H17b | zenon_intro zenon_H89 ]. % 1.07/1.29 exact (zenon_H17b zenon_H177). % 1.07/1.29 exact (zenon_H89 zenon_H84). % 1.07/1.29 (* end of lemma zenon_L116_ *) % 1.07/1.29 assert (zenon_L117_ : (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31)))))) -> (ndr1_0) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (c0_1 (a247)) -> (c3_1 (a247)) -> (~(c2_1 (a247))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H130 zenon_H10 zenon_He0 zenon_H83 zenon_H84 zenon_H82. % 1.07/1.29 generalize (zenon_H130 (a247)). zenon_intro zenon_H17c. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H17c); [ zenon_intro zenon_Hf | zenon_intro zenon_H17d ]. % 1.07/1.29 exact (zenon_Hf zenon_H10). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H177 | zenon_intro zenon_H17e ]. % 1.07/1.29 apply (zenon_L116_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H88 | zenon_intro zenon_H8a ]. % 1.07/1.29 exact (zenon_H82 zenon_H88). % 1.07/1.29 exact (zenon_H8a zenon_H83). % 1.07/1.29 (* end of lemma zenon_L117_ *) % 1.07/1.29 assert (zenon_L118_ : ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4)))))) -> (~(c2_1 (a247))) -> (c3_1 (a247)) -> (c0_1 (a247)) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31)))))) -> (~(hskp20)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H11e zenon_H16 zenon_H14 zenon_H15 zenon_H16e zenon_H82 zenon_H84 zenon_H83 zenon_H10 zenon_H130 zenon_H3e. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H10b | zenon_intro zenon_H121 ]. % 1.07/1.29 apply (zenon_L115_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_He0 | zenon_intro zenon_H3f ]. % 1.07/1.29 apply (zenon_L117_); trivial. % 1.07/1.29 exact (zenon_H3e zenon_H3f). % 1.07/1.29 (* end of lemma zenon_L118_ *) % 1.07/1.29 assert (zenon_L119_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (~(hskp20)) -> (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31)))))) -> (c0_1 (a247)) -> (c3_1 (a247)) -> (~(c2_1 (a247))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H17f zenon_H3e zenon_H130 zenon_H83 zenon_H84 zenon_H82 zenon_H15 zenon_H14 zenon_H16 zenon_H11e zenon_H144 zenon_H143 zenon_H142 zenon_H10 zenon_H109. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H16e | zenon_intro zenon_H180 ]. % 1.07/1.29 apply (zenon_L118_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H141 | zenon_intro zenon_H10a ]. % 1.07/1.29 apply (zenon_L99_); trivial. % 1.07/1.29 exact (zenon_H109 zenon_H10a). % 1.07/1.29 (* end of lemma zenon_L119_ *) % 1.07/1.29 assert (zenon_L120_ : (forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (ndr1_0) -> (forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34)))))) -> (c2_1 (a232)) -> (c3_1 (a232)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H181 zenon_H10 zenon_H7a zenon_H2a zenon_H2b. % 1.07/1.29 generalize (zenon_H181 (a232)). zenon_intro zenon_H182. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H182); [ zenon_intro zenon_Hf | zenon_intro zenon_H183 ]. % 1.07/1.29 exact (zenon_Hf zenon_H10). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_He5 | zenon_intro zenon_H2e ]. % 1.07/1.29 generalize (zenon_H7a (a232)). zenon_intro zenon_He6. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_He6); [ zenon_intro zenon_Hf | zenon_intro zenon_He7 ]. % 1.07/1.29 exact (zenon_Hf zenon_H10). % 1.07/1.29 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_He1 | zenon_intro zenon_H2e ]. % 1.07/1.29 exact (zenon_He5 zenon_He1). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ]. % 1.07/1.29 exact (zenon_H31 zenon_H2a). % 1.07/1.29 exact (zenon_H30 zenon_H2b). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ]. % 1.07/1.29 exact (zenon_H31 zenon_H2a). % 1.07/1.29 exact (zenon_H30 zenon_H2b). % 1.07/1.29 (* end of lemma zenon_L120_ *) % 1.07/1.29 assert (zenon_L121_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> (~(hskp28)) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (~(c2_1 (a247))) -> (c3_1 (a247)) -> (c0_1 (a247)) -> (~(hskp20)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (ndr1_0) -> (forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34)))))) -> (c2_1 (a232)) -> (c3_1 (a232)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H184 zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H109 zenon_H142 zenon_H143 zenon_H144 zenon_H11e zenon_H16 zenon_H14 zenon_H15 zenon_H82 zenon_H84 zenon_H83 zenon_H3e zenon_H17f zenon_H10 zenon_H7a zenon_H2a zenon_H2b. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H6a | zenon_intro zenon_H185 ]. % 1.07/1.29 apply (zenon_L54_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H130 | zenon_intro zenon_H181 ]. % 1.07/1.29 apply (zenon_L119_); trivial. % 1.07/1.29 apply (zenon_L120_); trivial. % 1.07/1.29 (* end of lemma zenon_L121_ *) % 1.07/1.29 assert (zenon_L122_ : ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (c2_1 (a246)) -> (c1_1 (a246)) -> (c0_1 (a246)) -> (~(c2_1 (a247))) -> (c3_1 (a247)) -> (c0_1 (a247)) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31)))))) -> (~(hskp20)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H11e zenon_H10e zenon_H10d zenon_H10c zenon_H82 zenon_H84 zenon_H83 zenon_H10 zenon_H130 zenon_H3e. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H10b | zenon_intro zenon_H121 ]. % 1.07/1.29 apply (zenon_L87_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_He0 | zenon_intro zenon_H3f ]. % 1.07/1.29 apply (zenon_L117_); trivial. % 1.07/1.29 exact (zenon_H3e zenon_H3f). % 1.07/1.29 (* end of lemma zenon_L122_ *) % 1.07/1.29 assert (zenon_L123_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> (~(hskp20)) -> (c0_1 (a247)) -> (c3_1 (a247)) -> (~(c2_1 (a247))) -> (c0_1 (a246)) -> (c1_1 (a246)) -> (c2_1 (a246)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (ndr1_0) -> (forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34)))))) -> (c2_1 (a232)) -> (c3_1 (a232)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H184 zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H3e zenon_H83 zenon_H84 zenon_H82 zenon_H10c zenon_H10d zenon_H10e zenon_H11e zenon_H10 zenon_H7a zenon_H2a zenon_H2b. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H6a | zenon_intro zenon_H185 ]. % 1.07/1.29 apply (zenon_L54_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H130 | zenon_intro zenon_H181 ]. % 1.07/1.29 apply (zenon_L122_); trivial. % 1.07/1.29 apply (zenon_L120_); trivial. % 1.07/1.29 (* end of lemma zenon_L123_ *) % 1.07/1.29 assert (zenon_L124_ : ((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> (~(hskp20)) -> (c0_1 (a247)) -> (c3_1 (a247)) -> (~(c2_1 (a247))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (c2_1 (a232)) -> (c3_1 (a232)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (c1_1 (a260)) -> (~(c2_1 (a260))) -> (~(c0_1 (a260))) -> (~(hskp3)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H11d zenon_H163 zenon_H5 zenon_H184 zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H3e zenon_H83 zenon_H84 zenon_H82 zenon_H11e zenon_H2a zenon_H2b zenon_H186 zenon_H152 zenon_H151 zenon_H150 zenon_H15f. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hdc | zenon_intro zenon_H164 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16a | zenon_intro zenon_H187 ]. % 1.07/1.29 apply (zenon_L114_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H7a | zenon_intro zenon_H6 ]. % 1.07/1.29 apply (zenon_L123_); trivial. % 1.07/1.29 exact (zenon_H5 zenon_H6). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H14f | zenon_intro zenon_H160 ]. % 1.07/1.29 apply (zenon_L102_); trivial. % 1.07/1.29 exact (zenon_H15f zenon_H160). % 1.07/1.29 (* end of lemma zenon_L124_ *) % 1.07/1.29 assert (zenon_L125_ : ((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (~(c3_1 (a238))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a229))) -> (c3_1 (a229)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (c2_1 (a229)) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_Ha4 zenon_H69 zenon_H65 zenon_H62 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H13 zenon_H14 zenon_H15 zenon_H16 zenon_H163 zenon_H15f zenon_Hc8 zenon_Hca zenon_H184 zenon_H11e zenon_H17f zenon_Hc9 zenon_H5 zenon_H186 zenon_H13a zenon_H3a zenon_H15e. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14b | zenon_intro zenon_H159 ]. % 1.07/1.29 apply (zenon_L101_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H10. zenon_intro zenon_H15b. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H152. zenon_intro zenon_H15c. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.07/1.29 apply (zenon_L10_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hdc | zenon_intro zenon_H164 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16a | zenon_intro zenon_H187 ]. % 1.07/1.29 apply (zenon_L114_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H7a | zenon_intro zenon_H6 ]. % 1.07/1.29 apply (zenon_L121_); trivial. % 1.07/1.29 exact (zenon_H5 zenon_H6). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H14f | zenon_intro zenon_H160 ]. % 1.07/1.29 apply (zenon_L102_); trivial. % 1.07/1.29 exact (zenon_H15f zenon_H160). % 1.07/1.29 apply (zenon_L124_); trivial. % 1.07/1.29 apply (zenon_L27_); trivial. % 1.07/1.29 (* end of lemma zenon_L125_ *) % 1.07/1.29 assert (zenon_L126_ : ((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp7)) -> (~(hskp11)) -> ((hskp15)\/((hskp7)\/(hskp11))) -> False). % 1.07/1.29 do 0 intro. intros zenon_Hb3 zenon_H3d zenon_H3a zenon_H35 zenon_H32 zenon_H13 zenon_Hb zenon_H3 zenon_Hd. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.07/1.29 apply (zenon_L16_); trivial. % 1.07/1.29 (* end of lemma zenon_L126_ *) % 1.07/1.29 assert (zenon_L127_ : (~(hskp14)) -> (hskp14) -> False). % 1.07/1.29 do 0 intro. intros zenon_H188 zenon_H189. % 1.07/1.29 exact (zenon_H188 zenon_H189). % 1.07/1.29 (* end of lemma zenon_L127_ *) % 1.07/1.29 assert (zenon_L128_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (c3_1 (a229)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7)))))) -> (~(c0_1 (a229))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp15)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H18a zenon_Hca zenon_Hdc zenon_Hc8 zenon_H10 zenon_H188 zenon_H9. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H16a | zenon_intro zenon_H18b ]. % 1.07/1.29 apply (zenon_L114_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H189 | zenon_intro zenon_Ha ]. % 1.07/1.29 exact (zenon_H188 zenon_H189). % 1.07/1.29 exact (zenon_H9 zenon_Ha). % 1.07/1.29 (* end of lemma zenon_L128_ *) % 1.07/1.29 assert (zenon_L129_ : ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (c3_1 (a232)) -> (c2_1 (a232)) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (~(hskp19)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H7f zenon_H124 zenon_H123 zenon_H122 zenon_H2b zenon_H2a zenon_H10 zenon_H181 zenon_H7d. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H74 | zenon_intro zenon_H80 ]. % 1.07/1.29 apply (zenon_L90_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H7a | zenon_intro zenon_H7e ]. % 1.07/1.29 apply (zenon_L120_); trivial. % 1.07/1.29 exact (zenon_H7d zenon_H7e). % 1.07/1.29 (* end of lemma zenon_L129_ *) % 1.07/1.29 assert (zenon_L130_ : ((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (~(hskp19)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H34 zenon_H184 zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H7f zenon_H124 zenon_H123 zenon_H122 zenon_H7d. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H6a | zenon_intro zenon_H185 ]. % 1.07/1.29 apply (zenon_L54_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H130 | zenon_intro zenon_H181 ]. % 1.07/1.29 apply (zenon_L93_); trivial. % 1.07/1.29 apply (zenon_L129_); trivial. % 1.07/1.29 (* end of lemma zenon_L130_ *) % 1.07/1.29 assert (zenon_L131_ : ((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H64 zenon_H3a zenon_H184 zenon_H122 zenon_H123 zenon_H124 zenon_H7d zenon_H7f zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H13 zenon_H9 zenon_H32 zenon_Hb1. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H10. zenon_intro zenon_H66. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5a. zenon_intro zenon_H67. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.07/1.29 apply (zenon_L43_); trivial. % 1.07/1.29 apply (zenon_L130_); trivial. % 1.07/1.29 (* end of lemma zenon_L131_ *) % 1.07/1.29 assert (zenon_L132_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp8)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a229))) -> (c3_1 (a229)) -> (~(hskp14)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (ndr1_0) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (c2_1 (a229)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_Ha5 zenon_H53 zenon_H50 zenon_H9d zenon_H9f zenon_H15e zenon_H163 zenon_H15f zenon_Hc8 zenon_Hca zenon_H188 zenon_H9 zenon_H18a zenon_H10 zenon_H142 zenon_H143 zenon_H144 zenon_H14d zenon_Hb1 zenon_H32 zenon_H13 zenon_Hc9 zenon_H7f zenon_H124 zenon_H123 zenon_H122 zenon_H184 zenon_H3a zenon_H69. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14b | zenon_intro zenon_H159 ]. % 1.07/1.29 apply (zenon_L101_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H10. zenon_intro zenon_H15b. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H152. zenon_intro zenon_H15c. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hdc | zenon_intro zenon_H164 ]. % 1.07/1.29 apply (zenon_L128_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H14f | zenon_intro zenon_H160 ]. % 1.07/1.29 apply (zenon_L102_); trivial. % 1.07/1.29 exact (zenon_H15f zenon_H160). % 1.07/1.29 apply (zenon_L131_); trivial. % 1.07/1.29 apply (zenon_L40_); trivial. % 1.07/1.29 (* end of lemma zenon_L132_ *) % 1.07/1.29 assert (zenon_L133_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> (ndr1_0) -> (~(c3_1 (a238))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H3a zenon_H184 zenon_H122 zenon_H123 zenon_H124 zenon_H7d zenon_H7f zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H10 zenon_H16 zenon_H15 zenon_H14 zenon_H13. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.07/1.29 apply (zenon_L10_); trivial. % 1.07/1.29 apply (zenon_L130_); trivial. % 1.07/1.29 (* end of lemma zenon_L133_ *) % 1.07/1.29 assert (zenon_L134_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp8)) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H39 zenon_Ha5 zenon_H53 zenon_H50 zenon_H32 zenon_H9d zenon_H9f zenon_H13 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H7f zenon_H124 zenon_H123 zenon_H122 zenon_H184 zenon_H3a. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.07/1.29 apply (zenon_L133_); trivial. % 1.07/1.29 apply (zenon_L40_); trivial. % 1.07/1.29 (* end of lemma zenon_L134_ *) % 1.07/1.29 assert (zenon_L135_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> False). % 1.07/1.29 do 0 intro. intros zenon_Hfa zenon_H10 zenon_H18c zenon_H18d zenon_H18e. % 1.07/1.29 generalize (zenon_Hfa (a237)). zenon_intro zenon_H18f. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H18f); [ zenon_intro zenon_Hf | zenon_intro zenon_H190 ]. % 1.07/1.29 exact (zenon_Hf zenon_H10). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H192 | zenon_intro zenon_H191 ]. % 1.07/1.29 exact (zenon_H18c zenon_H192). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H194 | zenon_intro zenon_H193 ]. % 1.07/1.29 exact (zenon_H194 zenon_H18d). % 1.07/1.29 exact (zenon_H193 zenon_H18e). % 1.07/1.29 (* end of lemma zenon_L135_ *) % 1.07/1.29 assert (zenon_L136_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp15)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H13b zenon_H18e zenon_H18d zenon_H18c zenon_H10 zenon_H109 zenon_H9. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfa | zenon_intro zenon_H140 ]. % 1.07/1.29 apply (zenon_L135_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H10a | zenon_intro zenon_Ha ]. % 1.07/1.29 exact (zenon_H109 zenon_H10a). % 1.07/1.29 exact (zenon_H9 zenon_Ha). % 1.07/1.29 (* end of lemma zenon_L136_ *) % 1.07/1.29 assert (zenon_L137_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp27)) -> (~(hskp20)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H13a zenon_H13 zenon_H11 zenon_H3e zenon_H11e zenon_H10 zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.07/1.29 apply (zenon_L136_); trivial. % 1.07/1.29 apply (zenon_L89_); trivial. % 1.07/1.29 (* end of lemma zenon_L137_ *) % 1.07/1.29 assert (zenon_L138_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H195 zenon_H3d zenon_H3a zenon_H35 zenon_H32 zenon_H21 zenon_H20 zenon_H1f zenon_H13b zenon_H11e zenon_H13 zenon_H13a zenon_Hb1 zenon_H69. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.07/1.29 apply (zenon_L137_); trivial. % 1.07/1.29 apply (zenon_L14_); trivial. % 1.07/1.29 apply (zenon_L44_); trivial. % 1.07/1.29 apply (zenon_L15_); trivial. % 1.07/1.29 (* end of lemma zenon_L138_ *) % 1.07/1.29 assert (zenon_L139_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> (ndr1_0) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H3d zenon_Ha5 zenon_Hec zenon_H9d zenon_H9f zenon_H13 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H7f zenon_H124 zenon_H123 zenon_H122 zenon_H184 zenon_H3a zenon_H10 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H32 zenon_Hb1. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.29 apply (zenon_L62_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.07/1.29 apply (zenon_L133_); trivial. % 1.07/1.29 apply (zenon_L72_); trivial. % 1.07/1.29 (* end of lemma zenon_L139_ *) % 1.07/1.29 assert (zenon_L140_ : ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> (~(c3_1 (a235))) -> (~(c0_1 (a235))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a235))) -> (c3_1 (a232)) -> (c2_1 (a232)) -> (c0_1 (a232)) -> (ndr1_0) -> (~(hskp0)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H35 zenon_Hbb zenon_Hb9 zenon_H198 zenon_Hba zenon_H2b zenon_H2a zenon_H29 zenon_H10 zenon_H32. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1e | zenon_intro zenon_H38 ]. % 1.07/1.29 generalize (zenon_H1e (a235)). zenon_intro zenon_H199. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H199); [ zenon_intro zenon_Hf | zenon_intro zenon_H19a ]. % 1.07/1.29 exact (zenon_Hf zenon_H10). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H19b ]. % 1.07/1.29 exact (zenon_Hba zenon_Hc1). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H19c | zenon_intro zenon_Hc0 ]. % 1.07/1.29 generalize (zenon_H198 (a235)). zenon_intro zenon_H19d. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H19d); [ zenon_intro zenon_Hf | zenon_intro zenon_H19e ]. % 1.07/1.29 exact (zenon_Hf zenon_H10). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_Hbf | zenon_intro zenon_H19f ]. % 1.07/1.29 exact (zenon_Hb9 zenon_Hbf). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H1a0 ]. % 1.07/1.29 exact (zenon_Hba zenon_Hc1). % 1.07/1.29 exact (zenon_H1a0 zenon_H19c). % 1.07/1.29 exact (zenon_Hbb zenon_Hc0). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H28 | zenon_intro zenon_H33 ]. % 1.07/1.29 apply (zenon_L12_); trivial. % 1.07/1.29 exact (zenon_H32 zenon_H33). % 1.07/1.29 (* end of lemma zenon_L140_ *) % 1.07/1.29 assert (zenon_L141_ : (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c1_1 (a235))) -> (~(c3_1 (a235))) -> (c2_1 (a235)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H16e zenon_H10 zenon_Hba zenon_Hbb zenon_H19c. % 1.07/1.29 generalize (zenon_H16e (a235)). zenon_intro zenon_H1a1. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H1a1); [ zenon_intro zenon_Hf | zenon_intro zenon_H1a2 ]. % 1.07/1.29 exact (zenon_Hf zenon_H10). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H1a3 ]. % 1.07/1.29 exact (zenon_Hba zenon_Hc1). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a0 ]. % 1.07/1.29 exact (zenon_Hbb zenon_Hc0). % 1.07/1.29 exact (zenon_H1a0 zenon_H19c). % 1.07/1.29 (* end of lemma zenon_L141_ *) % 1.07/1.29 assert (zenon_L142_ : ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> (~(c3_1 (a235))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a235))) -> (c3_1 (a232)) -> (c2_1 (a232)) -> (c0_1 (a232)) -> (ndr1_0) -> (~(hskp0)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H35 zenon_Hbb zenon_H16e zenon_Hba zenon_H2b zenon_H2a zenon_H29 zenon_H10 zenon_H32. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1e | zenon_intro zenon_H38 ]. % 1.07/1.29 generalize (zenon_H1e (a235)). zenon_intro zenon_H199. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H199); [ zenon_intro zenon_Hf | zenon_intro zenon_H19a ]. % 1.07/1.29 exact (zenon_Hf zenon_H10). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H19b ]. % 1.07/1.29 exact (zenon_Hba zenon_Hc1). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H19c | zenon_intro zenon_Hc0 ]. % 1.07/1.29 apply (zenon_L141_); trivial. % 1.07/1.29 exact (zenon_Hbb zenon_Hc0). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H28 | zenon_intro zenon_H33 ]. % 1.07/1.29 apply (zenon_L12_); trivial. % 1.07/1.29 exact (zenon_H32 zenon_H33). % 1.07/1.29 (* end of lemma zenon_L142_ *) % 1.07/1.29 assert (zenon_L143_ : ((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(c0_1 (a235))) -> (~(hskp0)) -> (~(c1_1 (a235))) -> (~(c3_1 (a235))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H34 zenon_H1a4 zenon_Hb9 zenon_H32 zenon_Hba zenon_Hbb zenon_H35 zenon_H142 zenon_H143 zenon_H144. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H198 | zenon_intro zenon_H1a5 ]. % 1.07/1.29 apply (zenon_L140_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H16e | zenon_intro zenon_H141 ]. % 1.07/1.29 apply (zenon_L142_); trivial. % 1.07/1.29 apply (zenon_L99_); trivial. % 1.07/1.29 (* end of lemma zenon_L143_ *) % 1.07/1.29 assert (zenon_L144_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (~(c1_1 (a235))) -> (~(c0_1 (a235))) -> (~(c3_1 (a235))) -> (~(hskp0)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H39 zenon_H3a zenon_H1a4 zenon_H144 zenon_H143 zenon_H142 zenon_Hba zenon_Hb9 zenon_Hbb zenon_H32 zenon_H35 zenon_H13. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.07/1.29 apply (zenon_L10_); trivial. % 1.07/1.29 apply (zenon_L143_); trivial. % 1.07/1.29 (* end of lemma zenon_L144_ *) % 1.07/1.29 assert (zenon_L145_ : ((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> False). % 1.07/1.29 do 0 intro. intros zenon_Hc4 zenon_H3d zenon_H3a zenon_H1a4 zenon_H144 zenon_H143 zenon_H142 zenon_H35 zenon_H13 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H32 zenon_Hb1. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.29 apply (zenon_L62_); trivial. % 1.07/1.29 apply (zenon_L144_); trivial. % 1.07/1.29 (* end of lemma zenon_L145_ *) % 1.07/1.29 assert (zenon_L146_ : ((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_Hf2 zenon_Hc7 zenon_H1a4 zenon_H144 zenon_H143 zenon_H142 zenon_H35 zenon_Hb1 zenon_H32 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H3a zenon_H184 zenon_H122 zenon_H123 zenon_H124 zenon_H7f zenon_H13 zenon_H9f zenon_Hec zenon_Ha5 zenon_H3d. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.07/1.29 apply (zenon_L139_); trivial. % 1.07/1.29 apply (zenon_L145_); trivial. % 1.07/1.29 (* end of lemma zenon_L146_ *) % 1.07/1.29 assert (zenon_L147_ : ((~(hskp7))\/((ndr1_0)/\((c0_1 (a224))/\((c3_1 (a224))/\(~(c1_1 (a224))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((hskp15)\/((hskp7)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp8)\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (ndr1_0) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> ((hskp10)\/((hskp11)\/(hskp13))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a225))/\((~(c2_1 (a225)))/\(~(c3_1 (a225))))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1a6 zenon_H1a4 zenon_H18a zenon_H13b zenon_H1a7 zenon_Hf5 zenon_H184 zenon_H11e zenon_H17f zenon_H186 zenon_H13a zenon_Hd zenon_H69 zenon_H161 zenon_H15f zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H10 zenon_H15a zenon_H15e zenon_Ha5 zenon_H53 zenon_H32 zenon_H9f zenon_H163 zenon_H7f zenon_Hb4 zenon_Hc2 zenon_H57 zenon_H44 zenon_H62 zenon_H65 zenon_Hb1 zenon_H13 zenon_H35 zenon_H3a zenon_H3d zenon_Hb7 zenon_Hc7 zenon_Hf1 zenon_Heb zenon_Hec zenon_H7 zenon_H139. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.07/1.29 apply (zenon_L112_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.29 apply (zenon_L7_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.07/1.29 apply (zenon_L28_); trivial. % 1.07/1.29 apply (zenon_L125_); trivial. % 1.07/1.29 apply (zenon_L126_); trivial. % 1.07/1.29 apply (zenon_L111_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.07/1.29 apply (zenon_L80_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.29 apply (zenon_L62_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.07/1.29 apply (zenon_L76_); trivial. % 1.07/1.29 apply (zenon_L125_); trivial. % 1.07/1.29 apply (zenon_L63_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.07/1.29 apply (zenon_L112_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.29 apply (zenon_L132_); trivial. % 1.07/1.29 apply (zenon_L134_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.07/1.29 apply (zenon_L137_); trivial. % 1.07/1.29 apply (zenon_L130_); trivial. % 1.07/1.29 apply (zenon_L27_); trivial. % 1.07/1.29 apply (zenon_L40_); trivial. % 1.07/1.29 apply (zenon_L134_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.29 apply (zenon_L132_); trivial. % 1.07/1.29 apply (zenon_L15_); trivial. % 1.07/1.29 apply (zenon_L138_); trivial. % 1.07/1.29 apply (zenon_L52_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.07/1.29 apply (zenon_L80_); trivial. % 1.07/1.29 apply (zenon_L146_); trivial. % 1.07/1.29 (* end of lemma zenon_L147_ *) % 1.07/1.29 assert (zenon_L148_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> False). % 1.07/1.29 do 0 intro. intros zenon_Hdc zenon_H10 zenon_H1ab zenon_H1ac zenon_H1ad. % 1.07/1.29 generalize (zenon_Hdc (a218)). zenon_intro zenon_H1ae. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H1ae); [ zenon_intro zenon_Hf | zenon_intro zenon_H1af ]. % 1.07/1.29 exact (zenon_Hf zenon_H10). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1b0 ]. % 1.07/1.29 exact (zenon_H1ab zenon_H1b1). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1b2 ]. % 1.07/1.29 exact (zenon_H1ac zenon_H1b3). % 1.07/1.29 exact (zenon_H1b2 zenon_H1ad). % 1.07/1.29 (* end of lemma zenon_L148_ *) % 1.07/1.29 assert (zenon_L149_ : (~(hskp5)) -> (hskp5) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1b4 zenon_H1b5. % 1.07/1.29 exact (zenon_H1b4 zenon_H1b5). % 1.07/1.29 (* end of lemma zenon_L149_ *) % 1.07/1.29 assert (zenon_L150_ : ((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H34 zenon_Heb zenon_H7d zenon_H7f zenon_H1ad zenon_H1ac zenon_H1ab. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.07/1.29 apply (zenon_L148_); trivial. % 1.07/1.29 apply (zenon_L69_); trivial. % 1.07/1.29 (* end of lemma zenon_L150_ *) % 1.07/1.29 assert (zenon_L151_ : ((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H64 zenon_H3a zenon_Heb zenon_H7d zenon_H7f zenon_H1ad zenon_H1ac zenon_H1ab zenon_H13 zenon_H9 zenon_H32 zenon_Hb1. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H10. zenon_intro zenon_H66. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5a. zenon_intro zenon_H67. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.07/1.29 apply (zenon_L43_); trivial. % 1.07/1.29 apply (zenon_L150_); trivial. % 1.07/1.29 (* end of lemma zenon_L151_ *) % 1.07/1.29 assert (zenon_L152_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp18)) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H69 zenon_H3a zenon_Heb zenon_H7d zenon_H7f zenon_H1ad zenon_H1ac zenon_H1ab zenon_H13 zenon_H9 zenon_Hb1 zenon_H44 zenon_H40 zenon_H50 zenon_H32 zenon_H53 zenon_H57. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.07/1.29 apply (zenon_L24_); trivial. % 1.07/1.29 apply (zenon_L151_); trivial. % 1.07/1.29 (* end of lemma zenon_L152_ *) % 1.07/1.29 assert (zenon_L153_ : (forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (ndr1_0) -> (~(c2_1 (a252))) -> (c0_1 (a252)) -> (c1_1 (a252)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H141 zenon_H10 zenon_H90 zenon_H9b zenon_H91. % 1.07/1.29 generalize (zenon_H141 (a252)). zenon_intro zenon_H1b6. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H1b6); [ zenon_intro zenon_Hf | zenon_intro zenon_H1b7 ]. % 1.07/1.29 exact (zenon_Hf zenon_H10). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H9c | zenon_intro zenon_H94 ]. % 1.07/1.29 exact (zenon_H90 zenon_H9c). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 1.07/1.29 exact (zenon_H97 zenon_H9b). % 1.07/1.29 exact (zenon_H96 zenon_H91). % 1.07/1.29 (* end of lemma zenon_L153_ *) % 1.07/1.29 assert (zenon_L154_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (ndr1_0) -> (forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (~(c2_1 (a252))) -> (c1_1 (a252)) -> (~(c3_1 (a252))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H46 zenon_H10 zenon_H141 zenon_H90 zenon_H91 zenon_H8f. % 1.07/1.29 generalize (zenon_H46 (a252)). zenon_intro zenon_H98. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H98); [ zenon_intro zenon_Hf | zenon_intro zenon_H99 ]. % 1.07/1.29 exact (zenon_Hf zenon_H10). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H9b | zenon_intro zenon_H9a ]. % 1.07/1.29 apply (zenon_L153_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H9c | zenon_intro zenon_H95 ]. % 1.07/1.29 exact (zenon_H90 zenon_H9c). % 1.07/1.29 exact (zenon_H8f zenon_H95). % 1.07/1.29 (* end of lemma zenon_L154_ *) % 1.07/1.29 assert (zenon_L155_ : ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(c3_1 (a252))) -> (c1_1 (a252)) -> (~(c2_1 (a252))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (~(hskp6)) -> (~(hskp18)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1b8 zenon_H8f zenon_H91 zenon_H90 zenon_H10 zenon_H46 zenon_H8b zenon_H40. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H141 | zenon_intro zenon_H1b9 ]. % 1.07/1.29 apply (zenon_L154_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H8c | zenon_intro zenon_H41 ]. % 1.07/1.29 exact (zenon_H8b zenon_H8c). % 1.07/1.29 exact (zenon_H40 zenon_H41). % 1.07/1.29 (* end of lemma zenon_L155_ *) % 1.07/1.29 assert (zenon_L156_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a230))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> False). % 1.07/1.29 do 0 intro. intros zenon_Hfa zenon_H10 zenon_H75 zenon_H6a zenon_H6c zenon_H6d. % 1.07/1.29 generalize (zenon_Hfa (a230)). zenon_intro zenon_H1ba. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H1ba); [ zenon_intro zenon_Hf | zenon_intro zenon_H1bb ]. % 1.07/1.29 exact (zenon_Hf zenon_H10). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H79 | zenon_intro zenon_H1bc ]. % 1.07/1.29 exact (zenon_H75 zenon_H79). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H6b | zenon_intro zenon_H73 ]. % 1.07/1.29 apply (zenon_L29_); trivial. % 1.07/1.29 exact (zenon_H73 zenon_H6c). % 1.07/1.29 (* end of lemma zenon_L156_ *) % 1.07/1.29 assert (zenon_L157_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> (~(hskp6)) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp18)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp5)) -> False). % 1.07/1.29 do 0 intro. intros zenon_Ha1 zenon_H1bd zenon_H1ad zenon_H1ac zenon_H1ab zenon_H8b zenon_H75 zenon_H6c zenon_H6d zenon_H1b8 zenon_H40 zenon_Hd1 zenon_H1b4. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Hdc | zenon_intro zenon_H1be ]. % 1.07/1.29 apply (zenon_L148_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_Hfa | zenon_intro zenon_H1b5 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H46 | zenon_intro zenon_Hd2 ]. % 1.07/1.29 apply (zenon_L155_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H6a | zenon_intro zenon_H8c ]. % 1.07/1.30 apply (zenon_L156_); trivial. % 1.07/1.30 exact (zenon_H8b zenon_H8c). % 1.07/1.30 exact (zenon_H1b4 zenon_H1b5). % 1.07/1.30 (* end of lemma zenon_L157_ *) % 1.07/1.30 assert (zenon_L158_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp6)) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (~(hskp18)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp15)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.07/1.30 do 0 intro. intros zenon_Ha5 zenon_H1bd zenon_H1b4 zenon_H1b8 zenon_H8b zenon_H75 zenon_H6c zenon_H6d zenon_Hd1 zenon_H57 zenon_H53 zenon_H32 zenon_H50 zenon_H40 zenon_H44 zenon_Hb1 zenon_H9 zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H7f zenon_Heb zenon_H3a zenon_H69. % 1.07/1.30 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.07/1.30 apply (zenon_L152_); trivial. % 1.07/1.30 apply (zenon_L157_); trivial. % 1.07/1.30 (* end of lemma zenon_L158_ *) % 1.07/1.30 assert (zenon_L159_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> (ndr1_0) -> (~(c3_1 (a238))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> False). % 1.07/1.30 do 0 intro. intros zenon_H3a zenon_Heb zenon_H7d zenon_H7f zenon_H1ad zenon_H1ac zenon_H1ab zenon_H10 zenon_H16 zenon_H15 zenon_H14 zenon_H13. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.07/1.30 apply (zenon_L10_); trivial. % 1.07/1.30 apply (zenon_L150_); trivial. % 1.07/1.30 (* end of lemma zenon_L159_ *) % 1.07/1.30 assert (zenon_L160_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp8)) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.07/1.30 do 0 intro. intros zenon_H39 zenon_Ha5 zenon_H53 zenon_H50 zenon_H32 zenon_H9d zenon_H9f zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H7f zenon_Heb zenon_H3a. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.07/1.30 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.07/1.30 apply (zenon_L159_); trivial. % 1.07/1.30 apply (zenon_L40_); trivial. % 1.07/1.30 (* end of lemma zenon_L160_ *) % 1.07/1.30 assert (zenon_L161_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp6)) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp12)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> False). % 1.07/1.30 do 0 intro. intros zenon_H3d zenon_Ha5 zenon_H1bd zenon_H1b4 zenon_H1b8 zenon_H8b zenon_H75 zenon_H6c zenon_H6d zenon_Hd1 zenon_H57 zenon_H53 zenon_H32 zenon_H50 zenon_H44 zenon_Hb1 zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H7f zenon_Heb zenon_H3a zenon_H69 zenon_H8d zenon_H9f zenon_H9d zenon_Hb4. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.30 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.07/1.30 apply (zenon_L158_); trivial. % 1.07/1.30 apply (zenon_L41_); trivial. % 1.07/1.30 apply (zenon_L160_); trivial. % 1.07/1.30 (* end of lemma zenon_L161_ *) % 1.07/1.30 assert (zenon_L162_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a235))) -> (~(c1_1 (a235))) -> (~(c0_1 (a235))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.07/1.30 do 0 intro. intros zenon_H39 zenon_Hb4 zenon_Hc2 zenon_H32 zenon_Hbb zenon_Hba zenon_Hb9 zenon_H3a zenon_Heb zenon_H7f zenon_H1ad zenon_H1ac zenon_H1ab zenon_H13 zenon_Hd1 zenon_H6d zenon_H6c zenon_H75 zenon_H8b zenon_H1b8 zenon_H1b4 zenon_H1bd zenon_Ha5. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.07/1.30 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.07/1.30 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.07/1.30 apply (zenon_L159_); trivial. % 1.07/1.30 apply (zenon_L157_); trivial. % 1.07/1.30 apply (zenon_L49_); trivial. % 1.07/1.30 (* end of lemma zenon_L162_ *) % 1.07/1.30 assert (zenon_L163_ : ((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp6)) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> False). % 1.07/1.30 do 0 intro. intros zenon_Hc4 zenon_H3d zenon_Ha5 zenon_H1bd zenon_H1b4 zenon_H1b8 zenon_H8b zenon_H75 zenon_H6c zenon_H6d zenon_Hd1 zenon_H57 zenon_H53 zenon_H32 zenon_H50 zenon_H44 zenon_Hb1 zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H7f zenon_Heb zenon_H3a zenon_H69 zenon_Hc2 zenon_Hb4. % 1.07/1.30 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.07/1.30 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.07/1.30 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.30 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.07/1.30 apply (zenon_L158_); trivial. % 1.07/1.30 apply (zenon_L49_); trivial. % 1.07/1.30 apply (zenon_L162_); trivial. % 1.07/1.30 (* end of lemma zenon_L163_ *) % 1.07/1.30 assert (zenon_L164_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp18)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> (~(hskp6)) -> False). % 1.07/1.30 do 0 intro. intros zenon_Ha1 zenon_Hd1 zenon_H40 zenon_H1b8 zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H8b. % 1.07/1.30 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.07/1.30 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.07/1.30 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.07/1.30 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H46 | zenon_intro zenon_Hd2 ]. % 1.07/1.30 apply (zenon_L155_); trivial. % 1.07/1.30 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H6a | zenon_intro zenon_H8c ]. % 1.07/1.30 apply (zenon_L54_); trivial. % 1.07/1.30 exact (zenon_H8b zenon_H8c). % 1.07/1.30 (* end of lemma zenon_L164_ *) % 1.07/1.30 assert (zenon_L165_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp6)) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.07/1.30 do 0 intro. intros zenon_Hb4 zenon_H8d zenon_H69 zenon_H3a zenon_Heb zenon_H7f zenon_H1ad zenon_H1ac zenon_H1ab zenon_H13 zenon_H9 zenon_Hb1 zenon_H44 zenon_H50 zenon_H32 zenon_H53 zenon_H57 zenon_H1b8 zenon_H8b zenon_Hc8 zenon_Hc9 zenon_Hca zenon_Hd1 zenon_Ha5. % 1.07/1.30 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.07/1.30 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.07/1.30 apply (zenon_L152_); trivial. % 1.07/1.30 apply (zenon_L164_); trivial. % 1.07/1.30 apply (zenon_L55_); trivial. % 1.07/1.30 (* end of lemma zenon_L165_ *) % 1.07/1.30 assert (zenon_L166_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp6)) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.07/1.30 do 0 intro. intros zenon_H39 zenon_Hb4 zenon_H8d zenon_H3a zenon_Heb zenon_H7f zenon_H1ad zenon_H1ac zenon_H1ab zenon_H13 zenon_H1b8 zenon_H8b zenon_Hc8 zenon_Hc9 zenon_Hca zenon_Hd1 zenon_Ha5. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.07/1.30 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.07/1.30 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.07/1.30 apply (zenon_L159_); trivial. % 1.07/1.30 apply (zenon_L164_); trivial. % 1.07/1.30 apply (zenon_L55_); trivial. % 1.07/1.30 (* end of lemma zenon_L166_ *) % 1.07/1.30 assert (zenon_L167_ : ((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> False). % 1.07/1.31 do 0 intro. intros zenon_Hf2 zenon_H3d zenon_Ha5 zenon_Hd1 zenon_H8b zenon_H1b8 zenon_H57 zenon_H53 zenon_H32 zenon_H50 zenon_H44 zenon_Hb1 zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H7f zenon_Heb zenon_H3a zenon_H69 zenon_H8d zenon_Hb4. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.07/1.31 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.31 apply (zenon_L165_); trivial. % 1.07/1.31 apply (zenon_L166_); trivial. % 1.07/1.31 (* end of lemma zenon_L167_ *) % 1.07/1.31 assert (zenon_L168_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((hskp24)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a282))/\((~(c1_1 (a282)))/\(~(c3_1 (a282))))))) -> ((hskp10)\/((hskp11)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> False). % 1.07/1.31 do 0 intro. intros zenon_Hf5 zenon_Hb7 zenon_H3d zenon_H3a zenon_H35 zenon_H13 zenon_Hf6 zenon_H50 zenon_H1ab zenon_H1ac zenon_H1ad zenon_Hb1 zenon_H32 zenon_H1b4 zenon_H1bd zenon_H13c zenon_H7 zenon_Ha5 zenon_H1b8 zenon_H8b zenon_Hd1 zenon_H57 zenon_H53 zenon_H44 zenon_H7f zenon_Heb zenon_H69 zenon_H8d zenon_H9f zenon_Hb4 zenon_Hc2 zenon_Hc7 zenon_Hf1. % 1.07/1.31 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.07/1.31 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.07/1.31 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.07/1.31 apply (zenon_L4_); trivial. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.07/1.31 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.31 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H13d ]. % 1.07/1.31 apply (zenon_L83_); trivial. % 1.07/1.31 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.07/1.31 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_Hfc. zenon_intro zenon_H13f. % 1.07/1.31 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_Hfb. zenon_intro zenon_Hfd. % 1.07/1.31 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Hdc | zenon_intro zenon_H1be ]. % 1.07/1.31 apply (zenon_L148_); trivial. % 1.07/1.31 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_Hfa | zenon_intro zenon_H1b5 ]. % 1.07/1.31 apply (zenon_L85_); trivial. % 1.07/1.31 exact (zenon_H1b4 zenon_H1b5). % 1.07/1.31 apply (zenon_L15_); trivial. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.07/1.31 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.07/1.31 apply (zenon_L161_); trivial. % 1.07/1.31 apply (zenon_L163_); trivial. % 1.07/1.31 apply (zenon_L167_); trivial. % 1.07/1.31 (* end of lemma zenon_L168_ *) % 1.07/1.31 assert (zenon_L169_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> (ndr1_0) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> False). % 1.07/1.31 do 0 intro. intros zenon_H3d zenon_Ha5 zenon_Hec zenon_H9d zenon_H9f zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H7f zenon_Heb zenon_H3a zenon_H10 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H32 zenon_Hb1. % 1.07/1.31 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.31 apply (zenon_L62_); trivial. % 1.07/1.31 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.07/1.31 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.07/1.31 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.07/1.31 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.07/1.31 apply (zenon_L159_); trivial. % 1.07/1.31 apply (zenon_L72_); trivial. % 1.07/1.31 (* end of lemma zenon_L169_ *) % 1.07/1.31 assert (zenon_L170_ : ((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> False). % 1.07/1.31 do 0 intro. intros zenon_Hc4 zenon_H3d zenon_Hb4 zenon_Hc2 zenon_H3a zenon_Heb zenon_H7f zenon_H1ad zenon_H1ac zenon_H1ab zenon_H13 zenon_Hd1 zenon_H6d zenon_H6c zenon_H75 zenon_H8b zenon_H1b8 zenon_H1b4 zenon_H1bd zenon_Ha5 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H32 zenon_Hb1. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.07/1.31 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.31 apply (zenon_L62_); trivial. % 1.07/1.31 apply (zenon_L162_); trivial. % 1.07/1.31 (* end of lemma zenon_L170_ *) % 1.07/1.31 assert (zenon_L171_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.07/1.31 do 0 intro. intros zenon_Hee zenon_Hc7 zenon_Hb4 zenon_Hc2 zenon_Hd1 zenon_H8b zenon_H1b8 zenon_H1b4 zenon_H1bd zenon_Hb1 zenon_H32 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H3a zenon_Heb zenon_H7f zenon_H1ad zenon_H1ac zenon_H1ab zenon_H13 zenon_H9f zenon_Hec zenon_Ha5 zenon_H3d. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.07/1.31 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.07/1.31 apply (zenon_L169_); trivial. % 1.07/1.31 apply (zenon_L170_); trivial. % 1.07/1.31 (* end of lemma zenon_L171_ *) % 1.07/1.31 assert (zenon_L172_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((hskp10)\/((hskp11)\/(hskp13))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> False). % 1.07/1.31 do 0 intro. intros zenon_Hf1 zenon_Hc7 zenon_Hb4 zenon_Hc2 zenon_Hd1 zenon_H8b zenon_H1b8 zenon_H1b4 zenon_H1bd zenon_Heb zenon_H7f zenon_H1ad zenon_H1ac zenon_H1ab zenon_H9f zenon_Hec zenon_Ha5 zenon_H7 zenon_H1 zenon_Hb1 zenon_H32 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H13 zenon_H35 zenon_H3a zenon_H3d zenon_Hb7. % 1.07/1.31 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.07/1.31 apply (zenon_L64_); trivial. % 1.07/1.31 apply (zenon_L171_); trivial. % 1.07/1.31 (* end of lemma zenon_L172_ *) % 1.07/1.31 assert (zenon_L173_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp6)) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> (~(hskp7)) -> (~(hskp11)) -> ((hskp15)\/((hskp7)\/(hskp11))) -> False). % 1.07/1.31 do 0 intro. intros zenon_H3d zenon_Hb4 zenon_H8d zenon_H3a zenon_Heb zenon_H7f zenon_H1ad zenon_H1ac zenon_H1ab zenon_H13 zenon_H1b8 zenon_H8b zenon_Hc8 zenon_Hc9 zenon_Hca zenon_Hd1 zenon_Ha5 zenon_Hb zenon_H3 zenon_Hd. % 1.07/1.31 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.31 apply (zenon_L7_); trivial. % 1.07/1.31 apply (zenon_L166_); trivial. % 1.07/1.31 (* end of lemma zenon_L173_ *) % 1.07/1.31 assert (zenon_L174_ : ((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> ((hskp15)\/((hskp7)\/(hskp11))) -> (~(hskp7)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.07/1.31 do 0 intro. intros zenon_Hf2 zenon_Hf1 zenon_Hc7 zenon_Hc2 zenon_H1b4 zenon_H1bd zenon_Hb1 zenon_H32 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H9f zenon_Hec zenon_Hd zenon_Hb zenon_Ha5 zenon_Hd1 zenon_H8b zenon_H1b8 zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H7f zenon_Heb zenon_H3a zenon_H8d zenon_Hb4 zenon_H3d. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.07/1.31 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.07/1.31 apply (zenon_L173_); trivial. % 1.07/1.31 apply (zenon_L171_); trivial. % 1.07/1.31 (* end of lemma zenon_L174_ *) % 1.07/1.31 assert (zenon_L175_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> (~(hskp18)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.07/1.31 do 0 intro. intros zenon_Ha5 zenon_H1b8 zenon_H57 zenon_Hd1 zenon_H8b zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H40 zenon_H44 zenon_Hb1 zenon_H32 zenon_H9 zenon_H13 zenon_H7f zenon_H124 zenon_H123 zenon_H122 zenon_H184 zenon_H3a zenon_H69. % 1.07/1.31 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.07/1.31 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.07/1.31 apply (zenon_L57_); trivial. % 1.07/1.31 apply (zenon_L131_); trivial. % 1.07/1.31 apply (zenon_L164_); trivial. % 1.07/1.31 (* end of lemma zenon_L175_ *) % 1.07/1.31 assert (zenon_L176_ : ((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> False). % 1.07/1.31 do 0 intro. intros zenon_Hf2 zenon_H3d zenon_Heb zenon_H1ad zenon_H1ac zenon_H1ab zenon_Ha5 zenon_H1b8 zenon_H57 zenon_Hd1 zenon_H8b zenon_H44 zenon_Hb1 zenon_H32 zenon_H13 zenon_H7f zenon_H124 zenon_H123 zenon_H122 zenon_H184 zenon_H3a zenon_H69 zenon_H8d zenon_Hb4. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.07/1.31 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.31 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.07/1.31 apply (zenon_L175_); trivial. % 1.07/1.31 apply (zenon_L55_); trivial. % 1.07/1.31 apply (zenon_L166_); trivial. % 1.07/1.31 (* end of lemma zenon_L176_ *) % 1.07/1.31 assert (zenon_L177_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp8)) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> (~(hskp7)) -> (~(hskp11)) -> ((hskp15)\/((hskp7)\/(hskp11))) -> False). % 1.07/1.31 do 0 intro. intros zenon_H3d zenon_Ha5 zenon_H53 zenon_H50 zenon_H32 zenon_H9d zenon_H9f zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H7f zenon_Heb zenon_H3a zenon_Hb zenon_H3 zenon_Hd. % 1.07/1.31 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.31 apply (zenon_L7_); trivial. % 1.07/1.31 apply (zenon_L160_); trivial. % 1.07/1.31 (* end of lemma zenon_L177_ *) % 1.07/1.31 assert (zenon_L178_ : ((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (~(hskp0)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp7)) -> (~(hskp11)) -> ((hskp15)\/((hskp7)\/(hskp11))) -> False). % 1.07/1.31 do 0 intro. intros zenon_Hc4 zenon_H3d zenon_H3a zenon_H1a4 zenon_H144 zenon_H143 zenon_H142 zenon_H32 zenon_H35 zenon_H13 zenon_Hb zenon_H3 zenon_Hd. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.07/1.31 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.31 apply (zenon_L7_); trivial. % 1.07/1.31 apply (zenon_L144_); trivial. % 1.07/1.31 (* end of lemma zenon_L178_ *) % 1.07/1.31 assert (zenon_L179_ : (forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))) -> (ndr1_0) -> (~(c2_1 (a221))) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> False). % 1.07/1.31 do 0 intro. intros zenon_Ha8 zenon_H10 zenon_H142 zenon_He0 zenon_H143 zenon_H144. % 1.07/1.31 generalize (zenon_Ha8 (a221)). zenon_intro zenon_H1bf. % 1.07/1.31 apply (zenon_imply_s _ _ zenon_H1bf); [ zenon_intro zenon_Hf | zenon_intro zenon_H1c0 ]. % 1.07/1.31 exact (zenon_Hf zenon_H10). % 1.07/1.31 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H148 | zenon_intro zenon_H1c1 ]. % 1.07/1.31 exact (zenon_H142 zenon_H148). % 1.07/1.31 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H14a ]. % 1.07/1.31 generalize (zenon_He0 (a221)). zenon_intro zenon_H1c3. % 1.07/1.31 apply (zenon_imply_s _ _ zenon_H1c3); [ zenon_intro zenon_Hf | zenon_intro zenon_H1c4 ]. % 1.07/1.31 exact (zenon_Hf zenon_H10). % 1.07/1.31 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H14a | zenon_intro zenon_H1c5 ]. % 1.07/1.31 exact (zenon_H14a zenon_H143). % 1.07/1.31 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H149 | zenon_intro zenon_H1c6 ]. % 1.07/1.31 exact (zenon_H149 zenon_H144). % 1.07/1.31 exact (zenon_H1c6 zenon_H1c2). % 1.07/1.31 exact (zenon_H14a zenon_H143). % 1.07/1.31 (* end of lemma zenon_L179_ *) % 1.07/1.31 assert (zenon_L180_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> (~(hskp15)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> (ndr1_0) -> False). % 1.07/1.31 do 0 intro. intros zenon_Heb zenon_H142 zenon_H143 zenon_H144 zenon_H9 zenon_H32 zenon_Hb1 zenon_H1ad zenon_H1ac zenon_H1ab zenon_H10. % 1.07/1.31 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.07/1.31 apply (zenon_L148_); trivial. % 1.07/1.31 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Hb2 ]. % 1.07/1.31 apply (zenon_L179_); trivial. % 1.07/1.31 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha | zenon_intro zenon_H33 ]. % 1.07/1.31 exact (zenon_H9 zenon_Ha). % 1.07/1.31 exact (zenon_H32 zenon_H33). % 1.07/1.31 (* end of lemma zenon_L180_ *) % 1.07/1.31 assert (zenon_L181_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp8)) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.07/1.31 do 0 intro. intros zenon_H39 zenon_Ha5 zenon_H53 zenon_H50 zenon_H32 zenon_H9d zenon_H9f zenon_H13 zenon_H7f zenon_H6c zenon_H6d zenon_H75 zenon_Heb zenon_H3a. % 1.07/1.31 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.07/1.31 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.07/1.31 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.07/1.31 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.07/1.31 apply (zenon_L71_); trivial. % 1.07/1.31 apply (zenon_L40_); trivial. % 1.07/1.31 (* end of lemma zenon_L181_ *) % 1.07/1.31 assert (zenon_L182_ : ((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> False). % 1.07/1.31 do 0 intro. intros zenon_Hc4 zenon_H3d zenon_H3a zenon_H1a4 zenon_H35 zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_Hb1 zenon_H32 zenon_H144 zenon_H143 zenon_H142 zenon_Heb. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.07/1.31 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.31 apply (zenon_L180_); trivial. % 1.07/1.31 apply (zenon_L144_); trivial. % 1.07/1.31 (* end of lemma zenon_L182_ *) % 1.07/1.31 assert (zenon_L183_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.07/1.31 do 0 intro. intros zenon_Hee zenon_Hc7 zenon_H1a4 zenon_H35 zenon_Heb zenon_H142 zenon_H143 zenon_H144 zenon_H32 zenon_Hb1 zenon_H1ad zenon_H1ac zenon_H1ab zenon_H3a zenon_H7f zenon_H13 zenon_H9f zenon_H50 zenon_H53 zenon_Ha5 zenon_H3d. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.07/1.31 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.07/1.31 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.31 apply (zenon_L180_); trivial. % 1.07/1.31 apply (zenon_L181_); trivial. % 1.07/1.31 apply (zenon_L182_); trivial. % 1.07/1.31 (* end of lemma zenon_L183_ *) % 1.07/1.31 assert (zenon_L184_ : ((ndr1_0)/\((c0_1 (a225))/\((~(c2_1 (a225)))/\(~(c3_1 (a225)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.07/1.31 do 0 intro. intros zenon_H136 zenon_Hc7 zenon_H1a4 zenon_H144 zenon_H143 zenon_H142 zenon_H35 zenon_Hb1 zenon_H32 zenon_H3a zenon_Heb zenon_H7f zenon_H1ad zenon_H1ac zenon_H1ab zenon_H13 zenon_H9f zenon_Hec zenon_Ha5 zenon_H3d. % 1.07/1.31 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.07/1.31 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.07/1.31 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.07/1.31 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.07/1.31 apply (zenon_L169_); trivial. % 1.07/1.31 apply (zenon_L145_); trivial. % 1.07/1.31 (* end of lemma zenon_L184_ *) % 1.07/1.31 assert (zenon_L185_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a225))/\((~(c2_1 (a225)))/\(~(c3_1 (a225))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((hskp15)\/((hskp7)\/(hskp11))) -> (~(hskp7)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> False). % 1.07/1.31 do 0 intro. intros zenon_H139 zenon_Hec zenon_Hc7 zenon_H1a4 zenon_H144 zenon_H143 zenon_H142 zenon_H35 zenon_Hd zenon_Hb zenon_H3a zenon_Heb zenon_H7f zenon_H1ad zenon_H1ac zenon_H1ab zenon_H13 zenon_H9f zenon_H32 zenon_H53 zenon_Ha5 zenon_H3d zenon_Hb1 zenon_Hf1. % 1.07/1.31 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.07/1.31 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.07/1.31 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.07/1.31 apply (zenon_L177_); trivial. % 1.07/1.31 apply (zenon_L178_); trivial. % 1.07/1.31 apply (zenon_L183_); trivial. % 1.07/1.31 apply (zenon_L184_); trivial. % 1.07/1.31 (* end of lemma zenon_L185_ *) % 1.07/1.31 assert (zenon_L186_ : ((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.07/1.31 do 0 intro. intros zenon_Hf2 zenon_Hc7 zenon_H1a4 zenon_H35 zenon_Heb zenon_H142 zenon_H143 zenon_H144 zenon_H32 zenon_Hb1 zenon_H1ad zenon_H1ac zenon_H1ab zenon_H3a zenon_H184 zenon_H122 zenon_H123 zenon_H124 zenon_H7f zenon_H13 zenon_H9f zenon_H50 zenon_H53 zenon_Ha5 zenon_H3d. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.07/1.31 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.07/1.31 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.07/1.31 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.07/1.31 apply (zenon_L180_); trivial. % 1.07/1.31 apply (zenon_L134_); trivial. % 1.07/1.31 apply (zenon_L182_); trivial. % 1.07/1.31 (* end of lemma zenon_L186_ *) % 1.07/1.31 assert (zenon_L187_ : (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31)))))) -> (ndr1_0) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> False). % 1.07/1.31 do 0 intro. intros zenon_H130 zenon_H10 zenon_H1f zenon_H20 zenon_H1c7. % 1.07/1.31 generalize (zenon_H130 (a236)). zenon_intro zenon_H1c8. % 1.07/1.31 apply (zenon_imply_s _ _ zenon_H1c8); [ zenon_intro zenon_Hf | zenon_intro zenon_H1c9 ]. % 1.07/1.31 exact (zenon_Hf zenon_H10). % 1.07/1.31 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H25 | zenon_intro zenon_H1ca ]. % 1.07/1.31 exact (zenon_H1f zenon_H25). % 1.07/1.31 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H27 | zenon_intro zenon_H1cb ]. % 1.07/1.31 exact (zenon_H20 zenon_H27). % 1.07/1.31 exact (zenon_H1cb zenon_H1c7). % 1.07/1.31 (* end of lemma zenon_L187_ *) % 1.07/1.31 assert (zenon_L188_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31)))))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H46 zenon_H10 zenon_H130 zenon_H1f zenon_H20 zenon_H21. % 1.13/1.32 generalize (zenon_H46 (a236)). zenon_intro zenon_H1cc. % 1.13/1.32 apply (zenon_imply_s _ _ zenon_H1cc); [ zenon_intro zenon_Hf | zenon_intro zenon_H1cd ]. % 1.13/1.32 exact (zenon_Hf zenon_H10). % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H24 ]. % 1.13/1.32 apply (zenon_L187_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 1.13/1.32 exact (zenon_H20 zenon_H27). % 1.13/1.32 exact (zenon_H21 zenon_H26). % 1.13/1.32 (* end of lemma zenon_L188_ *) % 1.13/1.32 assert (zenon_L189_ : ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (c3_1 (a232)) -> (c2_1 (a232)) -> (c0_1 (a232)) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H134 zenon_H21 zenon_H20 zenon_H1f zenon_H46 zenon_H2b zenon_H2a zenon_H29 zenon_H10 zenon_H3. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H130 | zenon_intro zenon_H135 ]. % 1.13/1.32 apply (zenon_L188_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H28 | zenon_intro zenon_H4 ]. % 1.13/1.32 apply (zenon_L12_); trivial. % 1.13/1.32 exact (zenon_H3 zenon_H4). % 1.13/1.32 (* end of lemma zenon_L189_ *) % 1.13/1.32 assert (zenon_L190_ : (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (ndr1_0) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H1ce zenon_H10 zenon_H1cf zenon_H1d0 zenon_H1d1. % 1.13/1.32 generalize (zenon_H1ce (a220)). zenon_intro zenon_H1d2. % 1.13/1.32 apply (zenon_imply_s _ _ zenon_H1d2); [ zenon_intro zenon_Hf | zenon_intro zenon_H1d3 ]. % 1.13/1.32 exact (zenon_Hf zenon_H10). % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1d4 ]. % 1.13/1.32 exact (zenon_H1cf zenon_H1d5). % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H1d6 ]. % 1.13/1.32 exact (zenon_H1d0 zenon_H1d7). % 1.13/1.32 exact (zenon_H1d6 zenon_H1d1). % 1.13/1.32 (* end of lemma zenon_L190_ *) % 1.13/1.32 assert (zenon_L191_ : ((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp11)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H34 zenon_H1d8 zenon_H3 zenon_H1f zenon_H20 zenon_H21 zenon_H134 zenon_H1d1 zenon_H1d0 zenon_H1cf. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H46 | zenon_intro zenon_H1d9 ]. % 1.13/1.32 apply (zenon_L189_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28 ]. % 1.13/1.32 apply (zenon_L190_); trivial. % 1.13/1.32 apply (zenon_L12_); trivial. % 1.13/1.32 (* end of lemma zenon_L191_ *) % 1.13/1.32 assert (zenon_L192_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H39 zenon_H3a zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H1f zenon_H20 zenon_H21 zenon_H3 zenon_H134 zenon_H13. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.13/1.32 apply (zenon_L10_); trivial. % 1.13/1.32 apply (zenon_L191_); trivial. % 1.13/1.32 (* end of lemma zenon_L192_ *) % 1.13/1.32 assert (zenon_L193_ : ((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp7)) -> (~(hskp11)) -> ((hskp15)\/((hskp7)\/(hskp11))) -> False). % 1.13/1.32 do 0 intro. intros zenon_Hb3 zenon_H3d zenon_H3a zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H134 zenon_H13 zenon_Hb zenon_H3 zenon_Hd. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.13/1.32 apply (zenon_L7_); trivial. % 1.13/1.32 apply (zenon_L192_); trivial. % 1.13/1.32 (* end of lemma zenon_L193_ *) % 1.13/1.32 assert (zenon_L194_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp7)) -> ((hskp15)\/((hskp7)\/(hskp11))) -> (~(hskp10)) -> (~(hskp11)) -> ((hskp10)\/((hskp11)\/(hskp13))) -> False). % 1.13/1.32 do 0 intro. intros zenon_Hb7 zenon_H3d zenon_H3a zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H134 zenon_H13 zenon_Hb zenon_Hd zenon_H1 zenon_H3 zenon_H7. % 1.13/1.32 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.13/1.32 apply (zenon_L4_); trivial. % 1.13/1.32 apply (zenon_L193_); trivial. % 1.13/1.32 (* end of lemma zenon_L194_ *) % 1.13/1.32 assert (zenon_L195_ : (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42)))))) -> (ndr1_0) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (c0_1 (a247)) -> (c3_1 (a247)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H74 zenon_H10 zenon_He0 zenon_H83 zenon_H84. % 1.13/1.32 generalize (zenon_H74 (a247)). zenon_intro zenon_H1da. % 1.13/1.32 apply (zenon_imply_s _ _ zenon_H1da); [ zenon_intro zenon_Hf | zenon_intro zenon_H1db ]. % 1.13/1.32 exact (zenon_Hf zenon_H10). % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H177 | zenon_intro zenon_H87 ]. % 1.13/1.32 apply (zenon_L116_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H8a | zenon_intro zenon_H89 ]. % 1.13/1.32 exact (zenon_H8a zenon_H83). % 1.13/1.32 exact (zenon_H89 zenon_H84). % 1.13/1.32 (* end of lemma zenon_L195_ *) % 1.13/1.32 assert (zenon_L196_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (c3_1 (a247)) -> (c0_1 (a247)) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(hskp27)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H1dc zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H84 zenon_H83 zenon_He0 zenon_H10 zenon_H11. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1dd ]. % 1.13/1.32 apply (zenon_L190_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H74 | zenon_intro zenon_H12 ]. % 1.13/1.32 apply (zenon_L195_); trivial. % 1.13/1.32 exact (zenon_H11 zenon_H12). % 1.13/1.32 (* end of lemma zenon_L196_ *) % 1.13/1.32 assert (zenon_L197_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (c0_1 (a247)) -> (c3_1 (a247)) -> (~(hskp27)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> (ndr1_0) -> False). % 1.13/1.32 do 0 intro. intros zenon_Heb zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H83 zenon_H84 zenon_H11 zenon_H1dc zenon_H1ad zenon_H1ac zenon_H1ab zenon_H10. % 1.13/1.32 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.13/1.32 apply (zenon_L148_); trivial. % 1.13/1.32 apply (zenon_L196_); trivial. % 1.13/1.32 (* end of lemma zenon_L197_ *) % 1.13/1.32 assert (zenon_L198_ : ((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp12)) -> (~(hskp0)) -> (~(c3_1 (a252))) -> (~(c2_1 (a252))) -> (c1_1 (a252)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H34 zenon_H1d8 zenon_H9d zenon_H32 zenon_H8f zenon_H90 zenon_H91 zenon_H9f zenon_H1d1 zenon_H1d0 zenon_H1cf. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H46 | zenon_intro zenon_H1d9 ]. % 1.13/1.32 apply (zenon_L39_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28 ]. % 1.13/1.32 apply (zenon_L190_); trivial. % 1.13/1.32 apply (zenon_L12_); trivial. % 1.13/1.32 (* end of lemma zenon_L198_ *) % 1.13/1.32 assert (zenon_L199_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a247)) -> (c0_1 (a247)) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_Ha1 zenon_H3a zenon_H1d8 zenon_H32 zenon_H9d zenon_H9f zenon_H1ab zenon_H1ac zenon_H1ad zenon_H1dc zenon_H84 zenon_H83 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_Heb. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.13/1.32 apply (zenon_L197_); trivial. % 1.13/1.32 apply (zenon_L198_); trivial. % 1.13/1.32 (* end of lemma zenon_L199_ *) % 1.13/1.32 assert (zenon_L200_ : ((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> False). % 1.13/1.32 do 0 intro. intros zenon_Ha4 zenon_Ha5 zenon_H3a zenon_H1d8 zenon_H32 zenon_H9d zenon_H9f zenon_H1ab zenon_H1ac zenon_H1ad zenon_H1dc zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_Heb zenon_H7f zenon_H6d zenon_H6c zenon_H75 zenon_H8b zenon_H8d. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.13/1.32 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.13/1.32 apply (zenon_L36_); trivial. % 1.13/1.32 apply (zenon_L199_); trivial. % 1.13/1.32 (* end of lemma zenon_L200_ *) % 1.13/1.32 assert (zenon_L201_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(c3_1 (a238))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> False). % 1.13/1.32 do 0 intro. intros zenon_Ha1 zenon_H3a zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H32 zenon_H9d zenon_H9f zenon_H16 zenon_H15 zenon_H14 zenon_H13. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.13/1.32 apply (zenon_L10_); trivial. % 1.13/1.32 apply (zenon_L198_); trivial. % 1.13/1.32 (* end of lemma zenon_L201_ *) % 1.13/1.32 assert (zenon_L202_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H39 zenon_Ha5 zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H32 zenon_H9d zenon_H9f zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H7f zenon_Heb zenon_H3a. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.13/1.32 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.13/1.32 apply (zenon_L159_); trivial. % 1.13/1.32 apply (zenon_L201_); trivial. % 1.13/1.32 (* end of lemma zenon_L202_ *) % 1.13/1.32 assert (zenon_L203_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (~(c1_1 (a230))) -> (ndr1_0) -> (~(hskp27)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H1dc zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H6d zenon_H6c zenon_H6a zenon_H75 zenon_H10 zenon_H11. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1dd ]. % 1.13/1.32 apply (zenon_L190_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H74 | zenon_intro zenon_H12 ]. % 1.13/1.32 apply (zenon_L30_); trivial. % 1.13/1.32 exact (zenon_H11 zenon_H12). % 1.13/1.32 (* end of lemma zenon_L203_ *) % 1.13/1.32 assert (zenon_L204_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp18)) -> (~(c2_1 (a252))) -> (c1_1 (a252)) -> (~(c3_1 (a252))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp27)) -> (ndr1_0) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (~(hskp6)) -> False). % 1.13/1.32 do 0 intro. intros zenon_Hd1 zenon_H40 zenon_H90 zenon_H91 zenon_H8f zenon_H1b8 zenon_H11 zenon_H10 zenon_H75 zenon_H6c zenon_H6d zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1dc zenon_H8b. % 1.13/1.32 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H46 | zenon_intro zenon_Hd2 ]. % 1.13/1.32 apply (zenon_L155_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H6a | zenon_intro zenon_H8c ]. % 1.13/1.32 apply (zenon_L203_); trivial. % 1.13/1.32 exact (zenon_H8b zenon_H8c). % 1.13/1.32 (* end of lemma zenon_L204_ *) % 1.13/1.32 assert (zenon_L205_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(c3_1 (a252))) -> (c1_1 (a252)) -> (~(c2_1 (a252))) -> (forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (ndr1_0) -> (c0_1 (a232)) -> (c2_1 (a232)) -> (c3_1 (a232)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H1d8 zenon_H8f zenon_H91 zenon_H90 zenon_H141 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H10 zenon_H29 zenon_H2a zenon_H2b. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H46 | zenon_intro zenon_H1d9 ]. % 1.13/1.32 apply (zenon_L154_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28 ]. % 1.13/1.32 apply (zenon_L190_); trivial. % 1.13/1.32 apply (zenon_L12_); trivial. % 1.13/1.32 (* end of lemma zenon_L205_ *) % 1.13/1.32 assert (zenon_L206_ : ((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(c0_1 (a235))) -> (~(hskp0)) -> (~(c1_1 (a235))) -> (~(c3_1 (a235))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(c3_1 (a252))) -> (c1_1 (a252)) -> (~(c2_1 (a252))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H34 zenon_H1a4 zenon_Hb9 zenon_H32 zenon_Hba zenon_Hbb zenon_H35 zenon_H1d8 zenon_H8f zenon_H91 zenon_H90 zenon_H1d1 zenon_H1d0 zenon_H1cf. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H198 | zenon_intro zenon_H1a5 ]. % 1.13/1.32 apply (zenon_L140_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H16e | zenon_intro zenon_H141 ]. % 1.13/1.32 apply (zenon_L142_); trivial. % 1.13/1.32 apply (zenon_L205_); trivial. % 1.13/1.32 (* end of lemma zenon_L206_ *) % 1.13/1.32 assert (zenon_L207_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a235))) -> (~(c0_1 (a235))) -> (~(c3_1 (a235))) -> (~(hskp0)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp18)) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> False). % 1.13/1.32 do 0 intro. intros zenon_Ha1 zenon_H3a zenon_H1a4 zenon_H1d8 zenon_Hba zenon_Hb9 zenon_Hbb zenon_H32 zenon_H35 zenon_H1b8 zenon_H40 zenon_H8b zenon_H1dc zenon_H6d zenon_H6c zenon_H75 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_Hd1. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.13/1.32 apply (zenon_L204_); trivial. % 1.13/1.32 apply (zenon_L206_); trivial. % 1.13/1.32 (* end of lemma zenon_L207_ *) % 1.13/1.32 assert (zenon_L208_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a235))) -> (~(c0_1 (a235))) -> (~(c3_1 (a235))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (~(hskp18)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp15)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_Ha5 zenon_H1a4 zenon_H1d8 zenon_Hba zenon_Hb9 zenon_Hbb zenon_H35 zenon_H1b8 zenon_H8b zenon_H1dc zenon_H6d zenon_H6c zenon_H75 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_Hd1 zenon_H57 zenon_H53 zenon_H32 zenon_H50 zenon_H40 zenon_H44 zenon_Hb1 zenon_H9 zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H7f zenon_Heb zenon_H3a zenon_H69. % 1.13/1.32 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.13/1.32 apply (zenon_L152_); trivial. % 1.13/1.32 apply (zenon_L207_); trivial. % 1.13/1.32 (* end of lemma zenon_L208_ *) % 1.13/1.32 assert (zenon_L209_ : ((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a235))) -> (~(c0_1 (a235))) -> (~(c3_1 (a235))) -> (~(hskp0)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> False). % 1.13/1.32 do 0 intro. intros zenon_Ha4 zenon_Ha5 zenon_H3a zenon_H1a4 zenon_H1d8 zenon_Hba zenon_Hb9 zenon_Hbb zenon_H32 zenon_H35 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H1dc zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_Heb zenon_H7f zenon_H6d zenon_H6c zenon_H75 zenon_H8b zenon_H8d. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.13/1.32 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.13/1.32 apply (zenon_L36_); trivial. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.13/1.32 apply (zenon_L197_); trivial. % 1.13/1.32 apply (zenon_L206_); trivial. % 1.13/1.32 (* end of lemma zenon_L209_ *) % 1.13/1.32 assert (zenon_L210_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a235))) -> (~(c0_1 (a235))) -> (~(c3_1 (a235))) -> (~(hskp0)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> (~(c3_1 (a238))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> False). % 1.13/1.32 do 0 intro. intros zenon_Ha1 zenon_H3a zenon_H1a4 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8 zenon_Hba zenon_Hb9 zenon_Hbb zenon_H32 zenon_H35 zenon_H16 zenon_H15 zenon_H14 zenon_H13. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.13/1.32 apply (zenon_L10_); trivial. % 1.13/1.32 apply (zenon_L206_); trivial. % 1.13/1.32 (* end of lemma zenon_L210_ *) % 1.13/1.32 assert (zenon_L211_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a235))) -> (~(c0_1 (a235))) -> (~(c3_1 (a235))) -> (~(hskp0)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H39 zenon_Ha5 zenon_H1a4 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8 zenon_Hba zenon_Hb9 zenon_Hbb zenon_H32 zenon_H35 zenon_H13 zenon_H7f zenon_H6c zenon_H6d zenon_H75 zenon_Heb zenon_H3a. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.13/1.32 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.13/1.32 apply (zenon_L71_); trivial. % 1.13/1.32 apply (zenon_L210_); trivial. % 1.13/1.32 (* end of lemma zenon_L211_ *) % 1.13/1.32 assert (zenon_L212_ : ((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_Hc4 zenon_H3d zenon_Ha5 zenon_H1a4 zenon_H1d8 zenon_H35 zenon_H1b8 zenon_H8b zenon_H1dc zenon_H6d zenon_H6c zenon_H75 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_Hd1 zenon_H57 zenon_H53 zenon_H32 zenon_H50 zenon_H44 zenon_Hb1 zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H7f zenon_Heb zenon_H3a zenon_H69 zenon_H8d zenon_Hb4. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.13/1.32 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.13/1.32 apply (zenon_L208_); trivial. % 1.13/1.32 apply (zenon_L209_); trivial. % 1.13/1.32 apply (zenon_L211_); trivial. % 1.13/1.32 (* end of lemma zenon_L212_ *) % 1.13/1.32 assert (zenon_L213_ : (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36)))))) -> (ndr1_0) -> (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39)))))) -> (~(c3_1 (a252))) -> (c1_1 (a252)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H1de zenon_H10 zenon_H58 zenon_H8f zenon_H91. % 1.13/1.32 generalize (zenon_H1de (a252)). zenon_intro zenon_H1df. % 1.13/1.32 apply (zenon_imply_s _ _ zenon_H1df); [ zenon_intro zenon_Hf | zenon_intro zenon_H1e0 ]. % 1.13/1.32 exact (zenon_Hf zenon_H10). % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H9b | zenon_intro zenon_H1e1 ]. % 1.13/1.32 generalize (zenon_H58 (a252)). zenon_intro zenon_H92. % 1.13/1.32 apply (zenon_imply_s _ _ zenon_H92); [ zenon_intro zenon_Hf | zenon_intro zenon_H93 ]. % 1.13/1.32 exact (zenon_Hf zenon_H10). % 1.13/1.32 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H95 | zenon_intro zenon_H94 ]. % 1.13/1.32 exact (zenon_H8f zenon_H95). % 1.13/1.32 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 1.13/1.32 exact (zenon_H97 zenon_H9b). % 1.13/1.32 exact (zenon_H96 zenon_H91). % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H95 | zenon_intro zenon_H96 ]. % 1.13/1.32 exact (zenon_H8f zenon_H95). % 1.13/1.32 exact (zenon_H96 zenon_H91). % 1.13/1.32 (* end of lemma zenon_L213_ *) % 1.13/1.32 assert (zenon_L214_ : ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (c1_1 (a252)) -> (~(c3_1 (a252))) -> (ndr1_0) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36)))))) -> (~(hskp0)) -> (~(hskp12)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H9f zenon_H91 zenon_H8f zenon_H10 zenon_H1de zenon_H32 zenon_H9d. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H58 | zenon_intro zenon_Ha0 ]. % 1.13/1.32 apply (zenon_L213_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H33 | zenon_intro zenon_H9e ]. % 1.13/1.32 exact (zenon_H32 zenon_H33). % 1.13/1.32 exact (zenon_H9d zenon_H9e). % 1.13/1.32 (* end of lemma zenon_L214_ *) % 1.13/1.32 assert (zenon_L215_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a252))) -> (c1_1 (a252)) -> (~(c2_1 (a252))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (~(hskp28)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H17f zenon_H16 zenon_H14 zenon_H15 zenon_H10b zenon_H8f zenon_H91 zenon_H90 zenon_H10 zenon_H46 zenon_H109. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H16e | zenon_intro zenon_H180 ]. % 1.13/1.32 apply (zenon_L115_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H141 | zenon_intro zenon_H10a ]. % 1.13/1.32 apply (zenon_L154_); trivial. % 1.13/1.32 exact (zenon_H109 zenon_H10a). % 1.13/1.32 (* end of lemma zenon_L215_ *) % 1.13/1.32 assert (zenon_L216_ : ((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> (~(hskp0)) -> (~(c3_1 (a252))) -> (c1_1 (a252)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (c1_1 (a259)) -> (c0_1 (a259)) -> (~(c3_1 (a259))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H11d zenon_H1e2 zenon_H9d zenon_H32 zenon_H8f zenon_H91 zenon_H9f zenon_H5b zenon_H5a zenon_H59. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1de | zenon_intro zenon_H1e3 ]. % 1.13/1.32 apply (zenon_L214_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H58 | zenon_intro zenon_H10b ]. % 1.13/1.32 apply (zenon_L25_); trivial. % 1.13/1.32 apply (zenon_L87_); trivial. % 1.13/1.32 (* end of lemma zenon_L216_ *) % 1.13/1.32 assert (zenon_L217_ : ((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> (c1_1 (a259)) -> (c0_1 (a259)) -> (~(c3_1 (a259))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (~(c2_1 (a252))) -> (~(c3_1 (a252))) -> (c1_1 (a252)) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H34 zenon_H13a zenon_H5b zenon_H5a zenon_H59 zenon_H1e2 zenon_H15 zenon_H14 zenon_H16 zenon_H17f zenon_H90 zenon_H8f zenon_H91 zenon_H32 zenon_H9d zenon_H9f zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H46 | zenon_intro zenon_H1d9 ]. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1de | zenon_intro zenon_H1e3 ]. % 1.13/1.32 apply (zenon_L214_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H58 | zenon_intro zenon_H10b ]. % 1.13/1.32 apply (zenon_L37_); trivial. % 1.13/1.32 apply (zenon_L215_); trivial. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28 ]. % 1.13/1.32 apply (zenon_L190_); trivial. % 1.13/1.32 apply (zenon_L12_); trivial. % 1.13/1.32 apply (zenon_L216_); trivial. % 1.13/1.32 (* end of lemma zenon_L217_ *) % 1.13/1.32 assert (zenon_L218_ : ((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (~(c2_1 (a252))) -> (~(c3_1 (a252))) -> (c1_1 (a252)) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(c3_1 (a238))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> False). % 1.13/1.32 do 0 intro. intros zenon_H64 zenon_H3a zenon_H13a zenon_H1e2 zenon_H17f zenon_H90 zenon_H8f zenon_H91 zenon_H32 zenon_H9d zenon_H9f zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8 zenon_H16 zenon_H15 zenon_H14 zenon_H13. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H10. zenon_intro zenon_H66. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5a. zenon_intro zenon_H67. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.13/1.32 apply (zenon_L10_); trivial. % 1.13/1.32 apply (zenon_L217_); trivial. % 1.13/1.32 (* end of lemma zenon_L218_ *) % 1.13/1.32 assert (zenon_L219_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(c3_1 (a238))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp18)) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_Ha1 zenon_H69 zenon_H3a zenon_H13a zenon_H1e2 zenon_H17f zenon_H9d zenon_H9f zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8 zenon_H16 zenon_H15 zenon_H14 zenon_H13 zenon_H44 zenon_H40 zenon_H50 zenon_H32 zenon_H53 zenon_H57. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.13/1.32 apply (zenon_L24_); trivial. % 1.13/1.32 apply (zenon_L218_); trivial. % 1.13/1.32 (* end of lemma zenon_L219_ *) % 1.13/1.32 assert (zenon_L220_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H39 zenon_Hb4 zenon_H8d zenon_H8b zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H3a zenon_Heb zenon_H7f zenon_H1ad zenon_H1ac zenon_H1ab zenon_H13 zenon_H57 zenon_H53 zenon_H32 zenon_H50 zenon_H44 zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H9f zenon_H9d zenon_H17f zenon_H1e2 zenon_H13a zenon_H69 zenon_Ha5. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.13/1.32 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.13/1.32 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.13/1.32 apply (zenon_L159_); trivial. % 1.13/1.32 apply (zenon_L219_); trivial. % 1.13/1.32 apply (zenon_L55_); trivial. % 1.13/1.32 (* end of lemma zenon_L220_ *) % 1.13/1.32 assert (zenon_L221_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a235))) -> (~(c0_1 (a235))) -> (~(c3_1 (a235))) -> (~(hskp0)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H39 zenon_Ha5 zenon_H1a4 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8 zenon_Hba zenon_Hb9 zenon_Hbb zenon_H32 zenon_H35 zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H7f zenon_Heb zenon_H3a. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.13/1.32 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.13/1.32 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.13/1.32 apply (zenon_L159_); trivial. % 1.13/1.32 apply (zenon_L210_); trivial. % 1.13/1.32 (* end of lemma zenon_L221_ *) % 1.13/1.32 assert (zenon_L222_ : ((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((hskp15)\/((hskp7)\/(hskp11))) -> (~(hskp7)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.13/1.32 do 0 intro. intros zenon_Hf2 zenon_Hf1 zenon_Hc7 zenon_H1a4 zenon_H35 zenon_H1dc zenon_H69 zenon_Hb1 zenon_H44 zenon_H50 zenon_H32 zenon_H53 zenon_H57 zenon_H13a zenon_H1e2 zenon_H17f zenon_H9f zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8 zenon_Hd zenon_Hb zenon_Ha5 zenon_Hd1 zenon_H8b zenon_H1b8 zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H7f zenon_Heb zenon_H3a zenon_H8d zenon_Hb4 zenon_H3d. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.13/1.32 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.13/1.32 apply (zenon_L173_); trivial. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.13/1.32 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.13/1.32 apply (zenon_L165_); trivial. % 1.13/1.32 apply (zenon_L220_); trivial. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.13/1.32 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.13/1.32 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.13/1.32 apply (zenon_L208_); trivial. % 1.13/1.32 apply (zenon_L55_); trivial. % 1.13/1.32 apply (zenon_L221_); trivial. % 1.13/1.32 (* end of lemma zenon_L222_ *) % 1.13/1.32 assert (zenon_L223_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> (ndr1_0) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> False). % 1.13/1.32 do 0 intro. intros zenon_H3d zenon_Ha5 zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H9d zenon_H9f zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H7f zenon_Heb zenon_H3a zenon_H10 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H32 zenon_Hb1. % 1.13/1.32 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.13/1.32 apply (zenon_L62_); trivial. % 1.13/1.32 apply (zenon_L202_); trivial. % 1.13/1.32 (* end of lemma zenon_L223_ *) % 1.13/1.32 assert (zenon_L224_ : ((ndr1_0)/\((c0_1 (a225))/\((~(c2_1 (a225)))/\(~(c3_1 (a225)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H136 zenon_Hc7 zenon_H1a4 zenon_H35 zenon_Hb1 zenon_H32 zenon_H3a zenon_Heb zenon_H7f zenon_H1ad zenon_H1ac zenon_H1ab zenon_H13 zenon_H9f zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8 zenon_Ha5 zenon_H3d. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.13/1.34 apply (zenon_L223_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.13/1.34 apply (zenon_L62_); trivial. % 1.13/1.34 apply (zenon_L221_); trivial. % 1.13/1.34 (* end of lemma zenon_L224_ *) % 1.13/1.34 assert (zenon_L225_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (ndr1_0) -> (~(hskp27)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H1dc zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H124 zenon_H123 zenon_H122 zenon_H10 zenon_H11. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1dd ]. % 1.13/1.34 apply (zenon_L190_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H74 | zenon_intro zenon_H12 ]. % 1.13/1.34 apply (zenon_L90_); trivial. % 1.13/1.34 exact (zenon_H11 zenon_H12). % 1.13/1.34 (* end of lemma zenon_L225_ *) % 1.13/1.34 assert (zenon_L226_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H3a zenon_H134 zenon_H3 zenon_H7d zenon_H7f zenon_H10 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.13/1.34 apply (zenon_L225_); trivial. % 1.13/1.34 apply (zenon_L94_); trivial. % 1.13/1.34 (* end of lemma zenon_L226_ *) % 1.13/1.34 assert (zenon_L227_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> False). % 1.13/1.34 do 0 intro. intros zenon_Ha1 zenon_H3a zenon_H1d8 zenon_H32 zenon_H9d zenon_H9f zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.13/1.34 apply (zenon_L225_); trivial. % 1.13/1.34 apply (zenon_L198_); trivial. % 1.13/1.34 (* end of lemma zenon_L227_ *) % 1.13/1.34 assert (zenon_L228_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_Ha5 zenon_H1d8 zenon_H32 zenon_H9d zenon_H9f zenon_H1dc zenon_H124 zenon_H123 zenon_H122 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H10 zenon_H7f zenon_H3 zenon_H134 zenon_H3a. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.13/1.34 apply (zenon_L226_); trivial. % 1.13/1.34 apply (zenon_L227_); trivial. % 1.13/1.34 (* end of lemma zenon_L228_ *) % 1.13/1.34 assert (zenon_L229_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a235))) -> (~(c0_1 (a235))) -> (~(c3_1 (a235))) -> (~(hskp0)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> False). % 1.13/1.34 do 0 intro. intros zenon_Ha1 zenon_H3a zenon_H1a4 zenon_H1d8 zenon_Hba zenon_Hb9 zenon_Hbb zenon_H32 zenon_H35 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.13/1.34 apply (zenon_L225_); trivial. % 1.13/1.34 apply (zenon_L206_); trivial. % 1.13/1.34 (* end of lemma zenon_L229_ *) % 1.13/1.34 assert (zenon_L230_ : ((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp0)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_Hc4 zenon_Ha5 zenon_H1a4 zenon_H1d8 zenon_H32 zenon_H35 zenon_H1dc zenon_H124 zenon_H123 zenon_H122 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H7f zenon_H3 zenon_H134 zenon_H3a. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.13/1.34 apply (zenon_L226_); trivial. % 1.13/1.34 apply (zenon_L229_); trivial. % 1.13/1.34 (* end of lemma zenon_L230_ *) % 1.13/1.34 assert (zenon_L231_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_Hc7 zenon_H1a4 zenon_H35 zenon_H3a zenon_H134 zenon_H3 zenon_H7f zenon_H10 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc zenon_H9f zenon_H32 zenon_H1d8 zenon_Ha5. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.13/1.34 apply (zenon_L228_); trivial. % 1.13/1.34 apply (zenon_L230_); trivial. % 1.13/1.34 (* end of lemma zenon_L231_ *) % 1.13/1.34 assert (zenon_L232_ : ((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (~(hskp19)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H34 zenon_H184 zenon_H75 zenon_H6c zenon_H6d zenon_H7f zenon_H124 zenon_H123 zenon_H122 zenon_H7d. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H6a | zenon_intro zenon_H185 ]. % 1.13/1.34 apply (zenon_L33_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H130 | zenon_intro zenon_H181 ]. % 1.13/1.34 apply (zenon_L93_); trivial. % 1.13/1.34 apply (zenon_L129_); trivial. % 1.13/1.34 (* end of lemma zenon_L232_ *) % 1.13/1.34 assert (zenon_L233_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H3a zenon_H184 zenon_H75 zenon_H6c zenon_H6d zenon_H7d zenon_H7f zenon_H10 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.13/1.34 apply (zenon_L225_); trivial. % 1.13/1.34 apply (zenon_L232_); trivial. % 1.13/1.34 (* end of lemma zenon_L233_ *) % 1.13/1.34 assert (zenon_L234_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp8)) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_Ha5 zenon_H53 zenon_H50 zenon_H32 zenon_H9d zenon_H9f zenon_H1dc zenon_H124 zenon_H123 zenon_H122 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H10 zenon_H7f zenon_H6d zenon_H6c zenon_H75 zenon_H184 zenon_H3a. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.13/1.34 apply (zenon_L233_); trivial. % 1.13/1.34 apply (zenon_L40_); trivial. % 1.13/1.34 (* end of lemma zenon_L234_ *) % 1.13/1.34 assert (zenon_L235_ : ((ndr1_0)/\((c0_1 (a221))/\((c1_1 (a221))/\(~(c2_1 (a221)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H1e4 zenon_Hc7 zenon_H1a4 zenon_H35 zenon_Heb zenon_H32 zenon_Hb1 zenon_H1ad zenon_H1ac zenon_H1ab zenon_H3a zenon_H7f zenon_H13 zenon_H9f zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8 zenon_Ha5 zenon_H3d. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H10. zenon_intro zenon_H1e5. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H143. zenon_intro zenon_H1e6. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H144. zenon_intro zenon_H142. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.13/1.34 apply (zenon_L180_); trivial. % 1.13/1.34 apply (zenon_L202_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.13/1.34 apply (zenon_L180_); trivial. % 1.13/1.34 apply (zenon_L221_); trivial. % 1.13/1.34 (* end of lemma zenon_L235_ *) % 1.13/1.34 assert (zenon_L236_ : ((~(hskp5))\/((ndr1_0)/\((c2_1 (a220))/\((~(c0_1 (a220)))/\(~(c3_1 (a220))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a224))/\((c3_1 (a224))/\(~(c1_1 (a224))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((hskp24)\/((hskp8)\/(hskp10))) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a282))/\((~(c1_1 (a282)))/\(~(c3_1 (a282))))))) -> ((hskp10)\/((hskp11)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> ((hskp15)\/((hskp7)\/(hskp11))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a225))/\((~(c2_1 (a225)))/\(~(c3_1 (a225))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp8)\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a221))/\((c1_1 (a221))/\(~(c2_1 (a221))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H1e7 zenon_H1dc zenon_H134 zenon_H1d8 zenon_H17f zenon_H1e2 zenon_H13a zenon_H1a6 zenon_H184 zenon_Hf5 zenon_Hb7 zenon_H3d zenon_H3a zenon_H35 zenon_H13 zenon_Hf6 zenon_H1ab zenon_H1ac zenon_H1ad zenon_Hb1 zenon_H32 zenon_H1bd zenon_H13c zenon_H7 zenon_Ha5 zenon_H1b8 zenon_Hd1 zenon_H57 zenon_H53 zenon_H44 zenon_H7f zenon_Heb zenon_H69 zenon_H8d zenon_H9f zenon_Hb4 zenon_Hc2 zenon_Hc7 zenon_Hf1 zenon_Hec zenon_Hd zenon_H139 zenon_H1a4 zenon_H161 zenon_H15f zenon_H14d zenon_H15a zenon_H15e zenon_H1e8. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1e9 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H8b | zenon_intro zenon_H1e4 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.13/1.34 apply (zenon_L168_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.13/1.34 apply (zenon_L172_); trivial. % 1.13/1.34 apply (zenon_L174_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.13/1.34 apply (zenon_L168_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.13/1.34 apply (zenon_L172_); trivial. % 1.13/1.34 apply (zenon_L176_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H10. zenon_intro zenon_H1e5. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H143. zenon_intro zenon_H1e6. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H144. zenon_intro zenon_H142. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.13/1.34 apply (zenon_L185_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.13/1.34 apply (zenon_L107_); trivial. % 1.13/1.34 apply (zenon_L183_); trivial. % 1.13/1.34 apply (zenon_L186_); trivial. % 1.13/1.34 apply (zenon_L184_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H10. zenon_intro zenon_H1ea. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d1. zenon_intro zenon_H1eb. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1cf. zenon_intro zenon_H1d0. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H8b | zenon_intro zenon_H1e4 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.13/1.34 apply (zenon_L194_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.13/1.34 apply (zenon_L152_); trivial. % 1.13/1.34 apply (zenon_L40_); trivial. % 1.13/1.34 apply (zenon_L200_); trivial. % 1.13/1.34 apply (zenon_L202_); trivial. % 1.13/1.34 apply (zenon_L212_); trivial. % 1.13/1.34 apply (zenon_L222_); trivial. % 1.13/1.34 apply (zenon_L224_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.13/1.34 apply (zenon_L231_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.13/1.34 apply (zenon_L234_); trivial. % 1.13/1.34 apply (zenon_L212_); trivial. % 1.13/1.34 apply (zenon_L224_); trivial. % 1.13/1.34 apply (zenon_L235_); trivial. % 1.13/1.34 (* end of lemma zenon_L236_ *) % 1.13/1.34 assert (zenon_L237_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a216))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7)))))) -> (c3_1 (a216)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H16a zenon_H10 zenon_H1ec zenon_Hdc zenon_H1ed. % 1.13/1.34 generalize (zenon_H16a (a216)). zenon_intro zenon_H1ee. % 1.13/1.34 apply (zenon_imply_s _ _ zenon_H1ee); [ zenon_intro zenon_Hf | zenon_intro zenon_H1ef ]. % 1.13/1.34 exact (zenon_Hf zenon_H10). % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1f0 ]. % 1.13/1.34 exact (zenon_H1ec zenon_H1f1). % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H1f2 ]. % 1.13/1.34 generalize (zenon_Hdc (a216)). zenon_intro zenon_H1f4. % 1.13/1.34 apply (zenon_imply_s _ _ zenon_H1f4); [ zenon_intro zenon_Hf | zenon_intro zenon_H1f5 ]. % 1.13/1.34 exact (zenon_Hf zenon_H10). % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1f6 ]. % 1.13/1.34 exact (zenon_H1ec zenon_H1f1). % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H1f2 ]. % 1.13/1.34 exact (zenon_H1f3 zenon_H1f7). % 1.13/1.34 exact (zenon_H1f2 zenon_H1ed). % 1.13/1.34 exact (zenon_H1f2 zenon_H1ed). % 1.13/1.34 (* end of lemma zenon_L237_ *) % 1.13/1.34 assert (zenon_L238_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (c3_1 (a216)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7)))))) -> (~(c0_1 (a216))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp15)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H18a zenon_H1ed zenon_Hdc zenon_H1ec zenon_H10 zenon_H188 zenon_H9. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H16a | zenon_intro zenon_H18b ]. % 1.13/1.34 apply (zenon_L237_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H189 | zenon_intro zenon_Ha ]. % 1.13/1.34 exact (zenon_H188 zenon_H189). % 1.13/1.34 exact (zenon_H9 zenon_Ha). % 1.13/1.34 (* end of lemma zenon_L238_ *) % 1.13/1.34 assert (zenon_L239_ : ((ndr1_0)/\((c0_1 (a282))/\((~(c1_1 (a282)))/\(~(c3_1 (a282)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(hskp14)) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp0)) -> (~(hskp15)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp5)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H13d zenon_H1bd zenon_H188 zenon_H1ec zenon_H1ed zenon_H18a zenon_H32 zenon_H9 zenon_Hb1 zenon_H1b4. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_H10. zenon_intro zenon_H13e. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_Hfc. zenon_intro zenon_H13f. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_Hfb. zenon_intro zenon_Hfd. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Hdc | zenon_intro zenon_H1be ]. % 1.13/1.34 apply (zenon_L238_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_Hfa | zenon_intro zenon_H1b5 ]. % 1.13/1.34 apply (zenon_L85_); trivial. % 1.13/1.34 exact (zenon_H1b4 zenon_H1b5). % 1.13/1.34 (* end of lemma zenon_L239_ *) % 1.13/1.34 assert (zenon_L240_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a282))/\((~(c1_1 (a282)))/\(~(c3_1 (a282))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> (~(hskp14)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp8)) -> (~(hskp10)) -> ((hskp24)\/((hskp8)\/(hskp10))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H13c zenon_H1bd zenon_H1b4 zenon_H32 zenon_Hb1 zenon_H1ec zenon_H1ed zenon_H188 zenon_H9 zenon_H18a zenon_H50 zenon_H1 zenon_Hf6. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H13d ]. % 1.13/1.34 apply (zenon_L83_); trivial. % 1.13/1.34 apply (zenon_L239_); trivial. % 1.13/1.34 (* end of lemma zenon_L240_ *) % 1.13/1.34 assert (zenon_L241_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((hskp24)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp14)) -> (c3_1 (a216)) -> (~(c0_1 (a216))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a282))/\((~(c1_1 (a282)))/\(~(c3_1 (a282))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H3d zenon_H3a zenon_H35 zenon_H21 zenon_H20 zenon_H1f zenon_H13 zenon_Hf6 zenon_H1 zenon_H50 zenon_H18a zenon_H188 zenon_H1ed zenon_H1ec zenon_Hb1 zenon_H32 zenon_H1b4 zenon_H1bd zenon_H13c. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.13/1.34 apply (zenon_L240_); trivial. % 1.13/1.34 apply (zenon_L15_); trivial. % 1.13/1.34 (* end of lemma zenon_L241_ *) % 1.13/1.34 assert (zenon_L242_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(hskp19)) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H1bd zenon_H7d zenon_H75 zenon_H6c zenon_H6d zenon_H7f zenon_H18e zenon_H18d zenon_H18c zenon_H10 zenon_H1b4. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Hdc | zenon_intro zenon_H1be ]. % 1.13/1.34 apply (zenon_L66_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_Hfa | zenon_intro zenon_H1b5 ]. % 1.13/1.34 apply (zenon_L135_); trivial. % 1.13/1.34 exact (zenon_H1b4 zenon_H1b5). % 1.13/1.34 (* end of lemma zenon_L242_ *) % 1.13/1.34 assert (zenon_L243_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp8)) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H195 zenon_Ha5 zenon_H53 zenon_H50 zenon_H32 zenon_H9d zenon_H9f zenon_H7f zenon_H6c zenon_H6d zenon_H75 zenon_H1b4 zenon_H1bd. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.13/1.34 apply (zenon_L242_); trivial. % 1.13/1.34 apply (zenon_L40_); trivial. % 1.13/1.34 (* end of lemma zenon_L243_ *) % 1.13/1.34 assert (zenon_L244_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((hskp24)\/((hskp8)\/(hskp10))) -> (~(hskp10)) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (c3_1 (a216)) -> (~(c0_1 (a216))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a282))/\((~(c1_1 (a282)))/\(~(c3_1 (a282))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_Hee zenon_Hc7 zenon_Hb7 zenon_H35 zenon_H69 zenon_H65 zenon_H62 zenon_H44 zenon_H57 zenon_Hc2 zenon_Hb4 zenon_H3d zenon_Ha5 zenon_H53 zenon_H9f zenon_H13 zenon_H7f zenon_Heb zenon_H3a zenon_Hf6 zenon_H1 zenon_H50 zenon_H18a zenon_H1ed zenon_H1ec zenon_Hb1 zenon_H32 zenon_H1b4 zenon_H1bd zenon_H13c zenon_H1a7. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.13/1.34 apply (zenon_L240_); trivial. % 1.13/1.34 apply (zenon_L181_); trivial. % 1.13/1.34 apply (zenon_L243_); trivial. % 1.13/1.34 apply (zenon_L52_); trivial. % 1.13/1.34 (* end of lemma zenon_L244_ *) % 1.13/1.34 assert (zenon_L245_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a282))/\((~(c1_1 (a282)))/\(~(c3_1 (a282))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp8)) -> ((hskp24)\/((hskp8)\/(hskp10))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((hskp10)\/((hskp11)\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_Hf5 zenon_Hd1 zenon_H8b zenon_H8d zenon_Hb7 zenon_H1a7 zenon_H13b zenon_H11e zenon_H13a zenon_H69 zenon_H13c zenon_H1bd zenon_H1b4 zenon_H32 zenon_Hb1 zenon_H1ec zenon_H1ed zenon_H18a zenon_H50 zenon_Hf6 zenon_H13 zenon_H35 zenon_H3a zenon_H3d zenon_H7 zenon_Heb zenon_H7f zenon_H9f zenon_H53 zenon_Ha5 zenon_Hb4 zenon_Hc2 zenon_H57 zenon_H44 zenon_H62 zenon_H65 zenon_Hc7 zenon_Hf1. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.13/1.34 apply (zenon_L4_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.13/1.34 apply (zenon_L241_); trivial. % 1.13/1.34 apply (zenon_L138_); trivial. % 1.13/1.34 apply (zenon_L244_); trivial. % 1.13/1.34 apply (zenon_L96_); trivial. % 1.13/1.34 (* end of lemma zenon_L245_ *) % 1.13/1.34 assert (zenon_L246_ : (forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H1f8 zenon_H10 zenon_H1ec zenon_H1f9 zenon_H1ed. % 1.13/1.34 generalize (zenon_H1f8 (a216)). zenon_intro zenon_H1fa. % 1.13/1.34 apply (zenon_imply_s _ _ zenon_H1fa); [ zenon_intro zenon_Hf | zenon_intro zenon_H1fb ]. % 1.13/1.34 exact (zenon_Hf zenon_H10). % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1fc ]. % 1.13/1.34 exact (zenon_H1ec zenon_H1f1). % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1f2 ]. % 1.13/1.34 exact (zenon_H1f9 zenon_H1fd). % 1.13/1.34 exact (zenon_H1f2 zenon_H1ed). % 1.13/1.34 (* end of lemma zenon_L246_ *) % 1.13/1.34 assert (zenon_L247_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> False). % 1.13/1.34 do 0 intro. intros zenon_Hee zenon_H1fe zenon_H1ed zenon_H1f9 zenon_H1ec zenon_Hd3 zenon_Hd4 zenon_Hd5. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1ff ]. % 1.13/1.34 apply (zenon_L246_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H7a | zenon_intro zenon_Ha8 ]. % 1.13/1.34 apply (zenon_L31_); trivial. % 1.13/1.34 apply (zenon_L61_); trivial. % 1.13/1.34 (* end of lemma zenon_L247_ *) % 1.13/1.34 assert (zenon_L248_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((hskp10)\/((hskp11)\/(hskp13))) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_Hf1 zenon_H1fe zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H7 zenon_H1 zenon_Hb1 zenon_H32 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H13 zenon_H35 zenon_H3a zenon_H3d zenon_Hb7. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.13/1.34 apply (zenon_L64_); trivial. % 1.13/1.34 apply (zenon_L247_); trivial. % 1.13/1.34 (* end of lemma zenon_L248_ *) % 1.13/1.34 assert (zenon_L249_ : ((ndr1_0)/\((c0_1 (a225))/\((~(c2_1 (a225)))/\(~(c3_1 (a225)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((hskp10)\/((hskp11)\/(hskp13))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H136 zenon_Hf5 zenon_Hd1 zenon_H69 zenon_H65 zenon_H62 zenon_H44 zenon_Hec zenon_H57 zenon_H8b zenon_H8d zenon_Hb4 zenon_Hb7 zenon_H3d zenon_H3a zenon_H35 zenon_H13 zenon_H32 zenon_Hb1 zenon_H7 zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H1fe zenon_Hf1. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.13/1.34 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.13/1.34 apply (zenon_L248_); trivial. % 1.13/1.34 apply (zenon_L81_); trivial. % 1.13/1.34 (* end of lemma zenon_L249_ *) % 1.13/1.34 assert (zenon_L250_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp13)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_H69 zenon_H65 zenon_H5 zenon_H62 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H10 zenon_H1 zenon_H3 zenon_H15a zenon_H15e. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.13/1.34 apply (zenon_L104_); trivial. % 1.13/1.34 apply (zenon_L27_); trivial. % 1.13/1.34 (* end of lemma zenon_L250_ *) % 1.13/1.34 assert (zenon_L251_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((hskp24)\/((hskp8)\/(hskp10))) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (c3_1 (a216)) -> (~(c0_1 (a216))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a282))/\((~(c1_1 (a282)))/\(~(c3_1 (a282))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (ndr1_0) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> False). % 1.13/1.34 do 0 intro. intros zenon_Hf1 zenon_Hc7 zenon_H44 zenon_H57 zenon_Hc2 zenon_Hb4 zenon_Ha5 zenon_H53 zenon_H9f zenon_H7f zenon_Heb zenon_Hf6 zenon_H50 zenon_H18a zenon_H1ed zenon_H1ec zenon_H1b4 zenon_H1bd zenon_H13c zenon_H1a7 zenon_H69 zenon_H65 zenon_H62 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H10 zenon_H1 zenon_H15a zenon_H15e zenon_H3a zenon_H35 zenon_H13 zenon_H32 zenon_Hb1 zenon_H3d zenon_Hb7. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.13/1.34 apply (zenon_L250_); trivial. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.13/1.34 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.13/1.34 apply (zenon_L104_); trivial. % 1.13/1.34 apply (zenon_L44_); trivial. % 1.13/1.34 apply (zenon_L15_); trivial. % 1.13/1.34 apply (zenon_L244_); trivial. % 1.13/1.34 (* end of lemma zenon_L251_ *) % 1.13/1.34 assert (zenon_L252_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (c3_1 (a216)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7)))))) -> (~(c0_1 (a216))) -> (c3_1 (a232)) -> (c2_1 (a232)) -> (ndr1_0) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (~(hskp20)) -> (c0_1 (a247)) -> (c3_1 (a247)) -> (~(c2_1 (a247))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (~(hskp28)) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(hskp13)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H186 zenon_H1ed zenon_Hdc zenon_H1ec zenon_H2b zenon_H2a zenon_H10 zenon_H17f zenon_H3e zenon_H83 zenon_H84 zenon_H82 zenon_H15 zenon_H14 zenon_H16 zenon_H11e zenon_H144 zenon_H143 zenon_H142 zenon_H109 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H184 zenon_H5. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16a | zenon_intro zenon_H187 ]. % 1.13/1.34 apply (zenon_L237_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H7a | zenon_intro zenon_H6 ]. % 1.13/1.34 apply (zenon_L121_); trivial. % 1.13/1.34 exact (zenon_H5 zenon_H6). % 1.13/1.34 (* end of lemma zenon_L252_ *) % 1.13/1.34 assert (zenon_L253_ : (forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H181 zenon_H10 zenon_H198 zenon_Hc8 zenon_Hc9 zenon_Hca. % 1.13/1.34 generalize (zenon_H181 (a229)). zenon_intro zenon_H200. % 1.13/1.34 apply (zenon_imply_s _ _ zenon_H200); [ zenon_intro zenon_Hf | zenon_intro zenon_H201 ]. % 1.13/1.34 exact (zenon_Hf zenon_H10). % 1.13/1.34 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H165 | zenon_intro zenon_Hcd ]. % 1.13/1.34 generalize (zenon_H198 (a229)). zenon_intro zenon_H202. % 1.13/1.34 apply (zenon_imply_s _ _ zenon_H202); [ zenon_intro zenon_Hf | zenon_intro zenon_H203 ]. % 1.13/1.34 exact (zenon_Hf zenon_H10). % 1.13/1.34 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_Hce | zenon_intro zenon_H204 ]. % 1.13/1.34 exact (zenon_Hc8 zenon_Hce). % 1.13/1.34 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H169 | zenon_intro zenon_Hd0 ]. % 1.13/1.34 exact (zenon_H165 zenon_H169). % 1.13/1.34 exact (zenon_Hd0 zenon_Hc9). % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hcf ]. % 1.13/1.34 exact (zenon_Hd0 zenon_Hc9). % 1.13/1.34 exact (zenon_Hcf zenon_Hca). % 1.13/1.34 (* end of lemma zenon_L253_ *) % 1.13/1.34 assert (zenon_L254_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c2_1 (a247))) -> (c3_1 (a247)) -> (c0_1 (a247)) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H184 zenon_H82 zenon_H84 zenon_H83 zenon_He0 zenon_H10 zenon_H198 zenon_Hc8 zenon_Hc9 zenon_Hca. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H6a | zenon_intro zenon_H185 ]. % 1.13/1.34 apply (zenon_L54_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H130 | zenon_intro zenon_H181 ]. % 1.13/1.34 apply (zenon_L117_); trivial. % 1.13/1.34 apply (zenon_L253_); trivial. % 1.13/1.34 (* end of lemma zenon_L254_ *) % 1.13/1.34 assert (zenon_L255_ : (forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7)))))) -> (~(c0_1 (a229))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H181 zenon_H10 zenon_Hdc zenon_Hc8 zenon_Hca zenon_Hc9. % 1.13/1.34 generalize (zenon_H181 (a229)). zenon_intro zenon_H200. % 1.13/1.34 apply (zenon_imply_s _ _ zenon_H200); [ zenon_intro zenon_Hf | zenon_intro zenon_H201 ]. % 1.13/1.34 exact (zenon_Hf zenon_H10). % 1.13/1.34 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H165 | zenon_intro zenon_Hcd ]. % 1.13/1.34 apply (zenon_L113_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hcf ]. % 1.13/1.34 exact (zenon_Hd0 zenon_Hc9). % 1.13/1.34 exact (zenon_Hcf zenon_Hca). % 1.13/1.34 (* end of lemma zenon_L255_ *) % 1.13/1.34 assert (zenon_L256_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(hskp20)) -> (c0_1 (a247)) -> (c3_1 (a247)) -> (~(c2_1 (a247))) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4)))))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7)))))) -> (~(c0_1 (a229))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> False). % 1.13/1.34 do 0 intro. intros zenon_H184 zenon_H3e zenon_H83 zenon_H84 zenon_H82 zenon_H16e zenon_H15 zenon_H14 zenon_H16 zenon_H11e zenon_H10 zenon_Hdc zenon_Hc8 zenon_Hca zenon_Hc9. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H6a | zenon_intro zenon_H185 ]. % 1.13/1.34 apply (zenon_L54_); trivial. % 1.13/1.34 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H130 | zenon_intro zenon_H181 ]. % 1.13/1.34 apply (zenon_L118_); trivial. % 1.13/1.34 apply (zenon_L255_); trivial. % 1.13/1.34 (* end of lemma zenon_L256_ *) % 1.13/1.34 assert (zenon_L257_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> (c2_1 (a232)) -> (c3_1 (a232)) -> (c0_1 (a232)) -> (ndr1_0) -> (~(c2_1 (a221))) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H1fe zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H2a zenon_H2b zenon_H29 zenon_H10 zenon_H142 zenon_He0 zenon_H143 zenon_H144. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1ff ]. % 1.13/1.35 apply (zenon_L246_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H7a | zenon_intro zenon_Ha8 ]. % 1.13/1.35 apply (zenon_L68_); trivial. % 1.13/1.35 apply (zenon_L179_); trivial. % 1.13/1.35 (* end of lemma zenon_L257_ *) % 1.13/1.35 assert (zenon_L258_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> (c0_1 (a232)) -> (c3_1 (a232)) -> (c2_1 (a232)) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (ndr1_0) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (~(hskp20)) -> (~(c2_1 (a247))) -> (c3_1 (a247)) -> (c0_1 (a247)) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_Heb zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H29 zenon_H2b zenon_H2a zenon_H142 zenon_H143 zenon_H144 zenon_H1fe zenon_H10 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H11e zenon_H3e zenon_H82 zenon_H84 zenon_H83 zenon_H16 zenon_H14 zenon_H15 zenon_H16e zenon_H184. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.13/1.35 apply (zenon_L256_); trivial. % 1.13/1.35 apply (zenon_L257_); trivial. % 1.13/1.35 (* end of lemma zenon_L258_ *) % 1.13/1.35 assert (zenon_L259_ : ((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> (c0_1 (a247)) -> (c3_1 (a247)) -> (~(c2_1 (a247))) -> (~(hskp20)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c2_1 (a232)) -> (c3_1 (a232)) -> (c0_1 (a232)) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H11d zenon_H1a4 zenon_H186 zenon_H5 zenon_H184 zenon_H15 zenon_H14 zenon_H16 zenon_H83 zenon_H84 zenon_H82 zenon_H3e zenon_H11e zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H1fe zenon_H2a zenon_H2b zenon_H29 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_Heb zenon_H142 zenon_H143 zenon_H144. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H198 | zenon_intro zenon_H1a5 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16a | zenon_intro zenon_H187 ]. % 1.13/1.35 apply (zenon_L237_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H7a | zenon_intro zenon_H6 ]. % 1.13/1.35 apply (zenon_L123_); trivial. % 1.13/1.35 exact (zenon_H5 zenon_H6). % 1.13/1.35 apply (zenon_L254_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H16e | zenon_intro zenon_H141 ]. % 1.13/1.35 apply (zenon_L258_); trivial. % 1.13/1.35 apply (zenon_L99_); trivial. % 1.13/1.35 (* end of lemma zenon_L259_ *) % 1.13/1.35 assert (zenon_L260_ : ((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (~(c3_1 (a238))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (~(c2_1 (a216))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (~(hskp13)) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (c3_1 (a216)) -> (~(c0_1 (a216))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_Ha4 zenon_H69 zenon_H65 zenon_H62 zenon_H13 zenon_H14 zenon_H15 zenon_H16 zenon_H1a4 zenon_H1fe zenon_H1f9 zenon_H186 zenon_H5 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H17f zenon_H144 zenon_H143 zenon_H142 zenon_H11e zenon_H184 zenon_H1ed zenon_H1ec zenon_Heb zenon_H13a zenon_H3a. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.13/1.35 apply (zenon_L10_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H198 | zenon_intro zenon_H1a5 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.13/1.35 apply (zenon_L252_); trivial. % 1.13/1.35 apply (zenon_L254_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H16e | zenon_intro zenon_H141 ]. % 1.13/1.35 apply (zenon_L258_); trivial. % 1.13/1.35 apply (zenon_L99_); trivial. % 1.13/1.35 apply (zenon_L259_); trivial. % 1.13/1.35 apply (zenon_L27_); trivial. % 1.13/1.35 (* end of lemma zenon_L260_ *) % 1.13/1.35 assert (zenon_L261_ : (~(hskp1)) -> (hskp1) -> False). % 1.13/1.35 do 0 intro. intros zenon_H205 zenon_H206. % 1.13/1.35 exact (zenon_H205 zenon_H206). % 1.13/1.35 (* end of lemma zenon_L261_ *) % 1.13/1.35 assert (zenon_L262_ : ((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp1)\/(hskp4))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> (c3_1 (a216)) -> (~(c0_1 (a216))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(hskp1)) -> (~(hskp4)) -> False). % 1.13/1.35 do 0 intro. intros zenon_Ha4 zenon_H207 zenon_H18a zenon_H9 zenon_H188 zenon_H1ed zenon_H1ec zenon_H184 zenon_Hca zenon_Hc9 zenon_Hc8 zenon_Heb zenon_H205 zenon_H62. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H198 | zenon_intro zenon_H208 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.13/1.35 apply (zenon_L238_); trivial. % 1.13/1.35 apply (zenon_L254_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H206 | zenon_intro zenon_H63 ]. % 1.13/1.35 exact (zenon_H205 zenon_H206). % 1.13/1.35 exact (zenon_H62 zenon_H63). % 1.13/1.35 (* end of lemma zenon_L262_ *) % 1.13/1.35 assert (zenon_L263_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31)))))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H209 zenon_H10 zenon_H130 zenon_H1f zenon_H20. % 1.13/1.35 generalize (zenon_H209 (a236)). zenon_intro zenon_H20a. % 1.13/1.35 apply (zenon_imply_s _ _ zenon_H20a); [ zenon_intro zenon_Hf | zenon_intro zenon_H20b ]. % 1.13/1.35 exact (zenon_Hf zenon_H10). % 1.13/1.35 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H20c ]. % 1.13/1.35 apply (zenon_L187_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H25 | zenon_intro zenon_H27 ]. % 1.13/1.35 exact (zenon_H1f zenon_H25). % 1.13/1.35 exact (zenon_H20 zenon_H27). % 1.13/1.35 (* end of lemma zenon_L263_ *) % 1.13/1.35 assert (zenon_L264_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7)))))) -> (~(c0_1 (a229))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H184 zenon_H20 zenon_H1f zenon_H209 zenon_H10 zenon_Hdc zenon_Hc8 zenon_Hca zenon_Hc9. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H6a | zenon_intro zenon_H185 ]. % 1.13/1.35 apply (zenon_L54_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H130 | zenon_intro zenon_H181 ]. % 1.13/1.35 apply (zenon_L263_); trivial. % 1.13/1.35 apply (zenon_L255_); trivial. % 1.13/1.35 (* end of lemma zenon_L264_ *) % 1.13/1.35 assert (zenon_L265_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> (~(c0_1 (a229))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H1bd zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H209 zenon_H1f zenon_H20 zenon_H184 zenon_H18e zenon_H18d zenon_H18c zenon_H10 zenon_H1b4. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Hdc | zenon_intro zenon_H1be ]. % 1.13/1.35 apply (zenon_L264_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_Hfa | zenon_intro zenon_H1b5 ]. % 1.13/1.35 apply (zenon_L135_); trivial. % 1.13/1.35 exact (zenon_H1b4 zenon_H1b5). % 1.13/1.35 (* end of lemma zenon_L265_ *) % 1.13/1.35 assert (zenon_L266_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c0_1 (a246)) -> (c1_1 (a246)) -> (c2_1 (a246)) -> (~(hskp27)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (c3_1 (a216)) -> (~(c0_1 (a216))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_Heb zenon_H10c zenon_H10d zenon_H10e zenon_H11 zenon_H13 zenon_H1ed zenon_H1ec zenon_H10 zenon_H16a. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.13/1.35 apply (zenon_L237_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H13); [ zenon_intro zenon_H17 | zenon_intro zenon_H12 ]. % 1.13/1.35 apply (zenon_L88_); trivial. % 1.13/1.35 exact (zenon_H11 zenon_H12). % 1.13/1.35 (* end of lemma zenon_L266_ *) % 1.13/1.35 assert (zenon_L267_ : (~(hskp17)) -> (hskp17) -> False). % 1.13/1.35 do 0 intro. intros zenon_H20d zenon_H20e. % 1.13/1.35 exact (zenon_H20d zenon_H20e). % 1.13/1.35 (* end of lemma zenon_L267_ *) % 1.13/1.35 assert (zenon_L268_ : ((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (~(hskp17)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H34 zenon_H20f zenon_H21 zenon_H20 zenon_H1f zenon_H20d. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1e | zenon_intro zenon_H210 ]. % 1.13/1.35 apply (zenon_L11_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H28 | zenon_intro zenon_H20e ]. % 1.13/1.35 apply (zenon_L12_); trivial. % 1.13/1.35 exact (zenon_H20d zenon_H20e). % 1.13/1.35 (* end of lemma zenon_L268_ *) % 1.13/1.35 assert (zenon_L269_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a243))) -> (~(c1_1 (a243))) -> (~(c2_1 (a243))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H209 zenon_H10 zenon_H211 zenon_H212 zenon_H213. % 1.13/1.35 generalize (zenon_H209 (a243)). zenon_intro zenon_H214. % 1.13/1.35 apply (zenon_imply_s _ _ zenon_H214); [ zenon_intro zenon_Hf | zenon_intro zenon_H215 ]. % 1.13/1.35 exact (zenon_Hf zenon_H10). % 1.13/1.35 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H217 | zenon_intro zenon_H216 ]. % 1.13/1.35 exact (zenon_H211 zenon_H217). % 1.13/1.35 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H219 | zenon_intro zenon_H218 ]. % 1.13/1.35 exact (zenon_H212 zenon_H219). % 1.13/1.35 exact (zenon_H213 zenon_H218). % 1.13/1.35 (* end of lemma zenon_L269_ *) % 1.13/1.35 assert (zenon_L270_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (c3_1 (a216)) -> (~(c0_1 (a216))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H1bd zenon_H1ed zenon_H1ec zenon_H16a zenon_H18e zenon_H18d zenon_H18c zenon_H10 zenon_H1b4. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Hdc | zenon_intro zenon_H1be ]. % 1.13/1.35 apply (zenon_L237_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_Hfa | zenon_intro zenon_H1b5 ]. % 1.13/1.35 apply (zenon_L135_); trivial. % 1.13/1.35 exact (zenon_H1b4 zenon_H1b5). % 1.13/1.35 (* end of lemma zenon_L270_ *) % 1.13/1.35 assert (zenon_L271_ : ((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a243))) -> (~(c1_1 (a243))) -> (~(c0_1 (a243))) -> (~(hskp5)) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H11d zenon_H21a zenon_H213 zenon_H212 zenon_H211 zenon_H1b4 zenon_H18c zenon_H18d zenon_H18e zenon_H1ec zenon_H1ed zenon_H1bd. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.13/1.35 apply (zenon_L269_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.13/1.35 apply (zenon_L270_); trivial. % 1.13/1.35 apply (zenon_L87_); trivial. % 1.13/1.35 (* end of lemma zenon_L271_ *) % 1.13/1.35 assert (zenon_L272_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H21c zenon_H13a zenon_H21a zenon_H1ec zenon_H1ed zenon_H1b4 zenon_H1bd zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.13/1.35 apply (zenon_L136_); trivial. % 1.13/1.35 apply (zenon_L271_); trivial. % 1.13/1.35 (* end of lemma zenon_L272_ *) % 1.13/1.35 assert (zenon_L273_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> (~(c3_1 (a236))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (c3_1 (a216)) -> (~(c0_1 (a216))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H195 zenon_H3d zenon_H35 zenon_H32 zenon_H3a zenon_H20f zenon_H21 zenon_H13b zenon_H1bd zenon_H1b4 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H1f zenon_H20 zenon_H184 zenon_Heb zenon_H13 zenon_H1ed zenon_H1ec zenon_H21a zenon_H13a zenon_H21f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.13/1.35 apply (zenon_L136_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.13/1.35 apply (zenon_L265_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.13/1.35 apply (zenon_L266_); trivial. % 1.13/1.35 apply (zenon_L87_); trivial. % 1.13/1.35 apply (zenon_L268_); trivial. % 1.13/1.35 apply (zenon_L272_); trivial. % 1.13/1.35 apply (zenon_L15_); trivial. % 1.13/1.35 (* end of lemma zenon_L273_ *) % 1.13/1.35 assert (zenon_L274_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> (c2_1 (a232)) -> (c3_1 (a232)) -> (c0_1 (a232)) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H1fe zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H2a zenon_H2b zenon_H29 zenon_He0 zenon_H10 zenon_Hd3 zenon_Hd4 zenon_Hd5. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1ff ]. % 1.13/1.35 apply (zenon_L246_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H7a | zenon_intro zenon_Ha8 ]. % 1.13/1.35 apply (zenon_L68_); trivial. % 1.13/1.35 apply (zenon_L61_); trivial. % 1.13/1.35 (* end of lemma zenon_L274_ *) % 1.13/1.35 assert (zenon_L275_ : ((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (~(c3_1 (a238))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H52 zenon_H3a zenon_H220 zenon_Hb zenon_H1ec zenon_H1f9 zenon_H1ed zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H1fe zenon_H16 zenon_H15 zenon_H14 zenon_H13. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H10. zenon_intro zenon_H54. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H55. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H49. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.13/1.35 apply (zenon_L10_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H46 | zenon_intro zenon_H221 ]. % 1.13/1.35 apply (zenon_L21_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_He0 | zenon_intro zenon_Hc ]. % 1.13/1.35 apply (zenon_L274_); trivial. % 1.13/1.35 exact (zenon_Hb zenon_Hc). % 1.13/1.35 (* end of lemma zenon_L275_ *) % 1.13/1.35 assert (zenon_L276_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp13)) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp18)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (~(c3_1 (a238))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H69 zenon_H65 zenon_H5 zenon_H62 zenon_H44 zenon_H40 zenon_H13 zenon_H14 zenon_H15 zenon_H16 zenon_H1fe zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_Hb zenon_H220 zenon_H3a zenon_H57. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H42 | zenon_intro zenon_H52 ]. % 1.13/1.35 apply (zenon_L20_); trivial. % 1.13/1.35 apply (zenon_L275_); trivial. % 1.13/1.35 apply (zenon_L27_); trivial. % 1.13/1.35 (* end of lemma zenon_L276_ *) % 1.13/1.35 assert (zenon_L277_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c2_1 (a216))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> (~(c1_1 (a224))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (ndr1_0) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> (~(hskp14)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> False). % 1.13/1.35 do 0 intro. intros zenon_Heb zenon_H1f9 zenon_H184 zenon_H198 zenon_H123 zenon_H124 zenon_H122 zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H142 zenon_H143 zenon_H144 zenon_H1fe zenon_H10 zenon_H1ec zenon_H1ed zenon_H188 zenon_H9 zenon_H18a. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.13/1.35 apply (zenon_L238_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1ff ]. % 1.13/1.35 apply (zenon_L246_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H7a | zenon_intro zenon_Ha8 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H6a | zenon_intro zenon_H185 ]. % 1.13/1.35 apply (zenon_L54_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H130 | zenon_intro zenon_H181 ]. % 1.13/1.35 apply (zenon_L92_); trivial. % 1.13/1.35 apply (zenon_L253_); trivial. % 1.13/1.35 apply (zenon_L179_); trivial. % 1.13/1.35 (* end of lemma zenon_L277_ *) % 1.13/1.35 assert (zenon_L278_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp1)\/(hskp4))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> (c3_1 (a216)) -> (~(c0_1 (a216))) -> (ndr1_0) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> (~(c1_1 (a224))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c2_1 (a216))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(hskp1)) -> (~(hskp4)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H207 zenon_H18a zenon_H9 zenon_H188 zenon_H1ed zenon_H1ec zenon_H10 zenon_H1fe zenon_H144 zenon_H143 zenon_H142 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H122 zenon_H124 zenon_H123 zenon_H184 zenon_H1f9 zenon_Heb zenon_H205 zenon_H62. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H198 | zenon_intro zenon_H208 ]. % 1.13/1.35 apply (zenon_L277_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H206 | zenon_intro zenon_H63 ]. % 1.13/1.35 exact (zenon_H205 zenon_H206). % 1.13/1.35 exact (zenon_H62 zenon_H63). % 1.13/1.35 (* end of lemma zenon_L278_ *) % 1.13/1.35 assert (zenon_L279_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> (forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34)))))) -> (~(c1_1 (a224))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7)))))) -> (~(c0_1 (a229))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H184 zenon_H123 zenon_H124 zenon_H7a zenon_H122 zenon_H10 zenon_Hdc zenon_Hc8 zenon_Hca zenon_Hc9. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H6a | zenon_intro zenon_H185 ]. % 1.13/1.35 apply (zenon_L54_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H130 | zenon_intro zenon_H181 ]. % 1.13/1.35 apply (zenon_L92_); trivial. % 1.13/1.35 apply (zenon_L255_); trivial. % 1.13/1.35 (* end of lemma zenon_L279_ *) % 1.13/1.35 assert (zenon_L280_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (~(hskp5)) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> (~(c0_1 (a229))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(c1_1 (a224))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(hskp13)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H186 zenon_H1b4 zenon_H18c zenon_H18d zenon_H18e zenon_H1ec zenon_H1ed zenon_H1bd zenon_Hc9 zenon_Hca zenon_Hc8 zenon_Hdc zenon_H10 zenon_H122 zenon_H124 zenon_H123 zenon_H184 zenon_H5. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16a | zenon_intro zenon_H187 ]. % 1.13/1.35 apply (zenon_L270_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H7a | zenon_intro zenon_H6 ]. % 1.13/1.35 apply (zenon_L279_); trivial. % 1.13/1.35 exact (zenon_H5 zenon_H6). % 1.13/1.35 (* end of lemma zenon_L280_ *) % 1.13/1.35 assert (zenon_L281_ : ((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp1)\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (c3_1 (a216)) -> (~(c0_1 (a216))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> (~(c1_1 (a224))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c2_1 (a216))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp0)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_Hb3 zenon_H1a7 zenon_H20f zenon_H13b zenon_H1bd zenon_H1b4 zenon_H21a zenon_H13a zenon_H21f zenon_H207 zenon_H62 zenon_H205 zenon_H18a zenon_H1ed zenon_H1ec zenon_H1fe zenon_H144 zenon_H143 zenon_H142 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H122 zenon_H124 zenon_H123 zenon_H184 zenon_H1f9 zenon_Heb zenon_H13 zenon_H32 zenon_H35 zenon_H3a zenon_H3d. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.13/1.35 apply (zenon_L278_); trivial. % 1.13/1.35 apply (zenon_L15_); trivial. % 1.13/1.35 apply (zenon_L273_); trivial. % 1.13/1.35 (* end of lemma zenon_L281_ *) % 1.13/1.35 assert (zenon_L282_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> (~(c1_1 (a224))) -> (ndr1_0) -> (forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34)))))) -> (c2_1 (a232)) -> (c3_1 (a232)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H184 zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H123 zenon_H124 zenon_H122 zenon_H10 zenon_H7a zenon_H2a zenon_H2b. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H6a | zenon_intro zenon_H185 ]. % 1.13/1.35 apply (zenon_L54_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H130 | zenon_intro zenon_H181 ]. % 1.13/1.35 apply (zenon_L92_); trivial. % 1.13/1.35 apply (zenon_L120_); trivial. % 1.13/1.35 (* end of lemma zenon_L282_ *) % 1.13/1.35 assert (zenon_L283_ : ((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> (~(c1_1 (a224))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H34 zenon_H1fe zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H122 zenon_H124 zenon_H123 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H184 zenon_Hd3 zenon_Hd4 zenon_Hd5. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1ff ]. % 1.13/1.35 apply (zenon_L246_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H7a | zenon_intro zenon_Ha8 ]. % 1.13/1.35 apply (zenon_L282_); trivial. % 1.13/1.35 apply (zenon_L61_); trivial. % 1.13/1.35 (* end of lemma zenon_L283_ *) % 1.13/1.35 assert (zenon_L284_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> (~(c1_1 (a224))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H39 zenon_H3a zenon_H1fe zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H122 zenon_H124 zenon_H123 zenon_H184 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H13. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.13/1.35 apply (zenon_L10_); trivial. % 1.13/1.35 apply (zenon_L283_); trivial. % 1.13/1.35 (* end of lemma zenon_L284_ *) % 1.13/1.35 assert (zenon_L285_ : ((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (~(c1_1 (a224))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> False). % 1.13/1.35 do 0 intro. intros zenon_Hf2 zenon_H3d zenon_H3a zenon_H1fe zenon_H122 zenon_H124 zenon_H123 zenon_H184 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H13 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H32 zenon_Hb1. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.13/1.35 apply (zenon_L62_); trivial. % 1.13/1.35 apply (zenon_L284_); trivial. % 1.13/1.35 (* end of lemma zenon_L285_ *) % 1.13/1.35 assert (zenon_L286_ : ((ndr1_0)/\((c0_1 (a225))/\((~(c2_1 (a225)))/\(~(c3_1 (a225)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229))))))) -> (~(c1_1 (a224))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((hskp10)\/((hskp11)\/(hskp13))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H136 zenon_Hf5 zenon_H122 zenon_H124 zenon_H123 zenon_H184 zenon_Hb7 zenon_H3d zenon_H3a zenon_H35 zenon_H13 zenon_H32 zenon_Hb1 zenon_H7 zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H1fe zenon_Hf1. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.13/1.35 apply (zenon_L248_); trivial. % 1.13/1.35 apply (zenon_L285_); trivial. % 1.13/1.35 (* end of lemma zenon_L286_ *) % 1.13/1.35 assert (zenon_L287_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp27)) -> (c0_1 (a259)) -> (~(c3_1 (a259))) -> (ndr1_0) -> False). % 1.13/1.35 do 0 intro. intros zenon_H1fe zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H6d zenon_H6c zenon_H75 zenon_H13 zenon_H11 zenon_H5a zenon_H59 zenon_H10. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1ff ]. % 1.13/1.35 apply (zenon_L246_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H7a | zenon_intro zenon_Ha8 ]. % 1.13/1.35 apply (zenon_L31_); trivial. % 1.13/1.35 apply (zenon_L42_); trivial. % 1.13/1.35 (* end of lemma zenon_L287_ *) % 1.13/1.35 assert (zenon_L288_ : ((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H64 zenon_H3a zenon_Heb zenon_H7d zenon_H7f zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H75 zenon_H6c zenon_H6d zenon_H13 zenon_H1fe. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H10. zenon_intro zenon_H66. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5a. zenon_intro zenon_H67. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.13/1.35 apply (zenon_L287_); trivial. % 1.13/1.35 apply (zenon_L70_); trivial. % 1.13/1.35 (* end of lemma zenon_L288_ *) % 1.13/1.35 assert (zenon_L289_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp18)) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H69 zenon_H3a zenon_Heb zenon_H7d zenon_H7f zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H75 zenon_H6c zenon_H6d zenon_H13 zenon_H1fe zenon_H44 zenon_H40 zenon_H50 zenon_H32 zenon_H53 zenon_H57. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.13/1.35 apply (zenon_L24_); trivial. % 1.13/1.35 apply (zenon_L288_); trivial. % 1.13/1.35 (* end of lemma zenon_L289_ *) % 1.13/1.35 assert (zenon_L290_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a235))) -> (~(c0_1 (a235))) -> (~(c3_1 (a235))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (~(hskp18)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_Ha5 zenon_H1a4 zenon_H1d8 zenon_Hba zenon_Hb9 zenon_Hbb zenon_H35 zenon_H1b8 zenon_H8b zenon_H1dc zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_Hd1 zenon_H57 zenon_H53 zenon_H32 zenon_H50 zenon_H40 zenon_H44 zenon_H1fe zenon_H13 zenon_H6d zenon_H6c zenon_H75 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H7f zenon_Heb zenon_H3a zenon_H69. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.13/1.35 apply (zenon_L289_); trivial. % 1.13/1.35 apply (zenon_L207_); trivial. % 1.13/1.35 (* end of lemma zenon_L290_ *) % 1.13/1.35 assert (zenon_L291_ : ((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_Hc4 zenon_Hb4 zenon_Hc2 zenon_H69 zenon_H3a zenon_Heb zenon_H7f zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H75 zenon_H6c zenon_H6d zenon_H13 zenon_H1fe zenon_H44 zenon_H50 zenon_H32 zenon_H53 zenon_H57 zenon_Hd1 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1dc zenon_H8b zenon_H1b8 zenon_H35 zenon_H1d8 zenon_H1a4 zenon_Ha5. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.13/1.35 apply (zenon_L290_); trivial. % 1.13/1.35 apply (zenon_L49_); trivial. % 1.13/1.35 (* end of lemma zenon_L291_ *) % 1.13/1.35 assert (zenon_L292_ : ((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(c3_1 (a278))) -> (~(c2_1 (a278))) -> (~(c0_1 (a278))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H34 zenon_H1d8 zenon_H49 zenon_H48 zenon_H47 zenon_H1d1 zenon_H1d0 zenon_H1cf. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H46 | zenon_intro zenon_H1d9 ]. % 1.13/1.35 apply (zenon_L21_); trivial. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28 ]. % 1.13/1.35 apply (zenon_L190_); trivial. % 1.13/1.35 apply (zenon_L12_); trivial. % 1.13/1.35 (* end of lemma zenon_L292_ *) % 1.13/1.35 assert (zenon_L293_ : ((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(c3_1 (a238))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> False). % 1.13/1.35 do 0 intro. intros zenon_H52 zenon_H3a zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H16 zenon_H15 zenon_H14 zenon_H13. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H10. zenon_intro zenon_H54. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H55. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H49. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.13/1.35 apply (zenon_L10_); trivial. % 1.13/1.35 apply (zenon_L292_); trivial. % 1.13/1.35 (* end of lemma zenon_L293_ *) % 1.13/1.35 assert (zenon_L294_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp13)) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp18)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (~(c3_1 (a238))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_H69 zenon_H65 zenon_H5 zenon_H62 zenon_H44 zenon_H40 zenon_H13 zenon_H14 zenon_H15 zenon_H16 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8 zenon_H3a zenon_H57. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H42 | zenon_intro zenon_H52 ]. % 1.13/1.35 apply (zenon_L20_); trivial. % 1.13/1.35 apply (zenon_L293_); trivial. % 1.13/1.35 apply (zenon_L27_); trivial. % 1.13/1.35 (* end of lemma zenon_L294_ *) % 1.13/1.35 assert (zenon_L295_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((hskp15)\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_Hb7 zenon_H134 zenon_Hd zenon_H3 zenon_Hb zenon_H69 zenon_H65 zenon_H62 zenon_H44 zenon_H13 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8 zenon_H3a zenon_H57 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H8b zenon_H8d zenon_Hb4 zenon_H3d. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.13/1.35 apply (zenon_L7_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.13/1.35 apply (zenon_L294_); trivial. % 1.13/1.35 apply (zenon_L55_); trivial. % 1.13/1.35 apply (zenon_L193_); trivial. % 1.13/1.35 (* end of lemma zenon_L295_ *) % 1.13/1.35 assert (zenon_L296_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (~(hskp18)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_Ha5 zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H9d zenon_H9f zenon_H57 zenon_H53 zenon_H32 zenon_H50 zenon_H40 zenon_H44 zenon_H1fe zenon_H13 zenon_H6d zenon_H6c zenon_H75 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H7f zenon_Heb zenon_H3a zenon_H69. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.13/1.35 apply (zenon_L289_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.13/1.35 apply (zenon_L24_); trivial. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H10. zenon_intro zenon_H66. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5a. zenon_intro zenon_H67. % 1.13/1.35 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.13/1.35 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.13/1.35 apply (zenon_L287_); trivial. % 1.13/1.35 apply (zenon_L198_); trivial. % 1.13/1.35 (* end of lemma zenon_L296_ *) % 1.13/1.35 assert (zenon_L297_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> False). % 1.13/1.35 do 0 intro. intros zenon_Hee zenon_Hc7 zenon_Hd1 zenon_H1dc zenon_H1b8 zenon_H35 zenon_H1a4 zenon_Ha5 zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H9f zenon_H57 zenon_H53 zenon_H32 zenon_H50 zenon_H44 zenon_H1fe zenon_H13 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H7f zenon_Heb zenon_H3a zenon_H69 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H8b zenon_H8d zenon_Hb4. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.13/1.35 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.13/1.35 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.13/1.35 apply (zenon_L296_); trivial. % 1.17/1.37 apply (zenon_L55_); trivial. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.17/1.37 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.17/1.37 apply (zenon_L290_); trivial. % 1.17/1.37 apply (zenon_L55_); trivial. % 1.17/1.37 (* end of lemma zenon_L297_ *) % 1.17/1.37 assert (zenon_L298_ : ((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (~(hskp7)) -> ((hskp15)\/((hskp7)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> False). % 1.17/1.37 do 0 intro. intros zenon_Hf2 zenon_Hf1 zenon_Hc7 zenon_Hd1 zenon_H1dc zenon_H1b8 zenon_H35 zenon_H1a4 zenon_Ha5 zenon_H9f zenon_H53 zenon_H32 zenon_H50 zenon_H1fe zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H7f zenon_Heb zenon_H3d zenon_Hb4 zenon_H8d zenon_H8b zenon_H57 zenon_H3a zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H13 zenon_H44 zenon_H62 zenon_H65 zenon_H69 zenon_Hb zenon_Hd zenon_H134 zenon_Hb7. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.17/1.37 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.17/1.37 apply (zenon_L295_); trivial. % 1.17/1.37 apply (zenon_L297_); trivial. % 1.17/1.37 (* end of lemma zenon_L298_ *) % 1.17/1.37 assert (zenon_L299_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a238))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> False). % 1.17/1.37 do 0 intro. intros zenon_H3a zenon_H134 zenon_H3 zenon_H122 zenon_H123 zenon_H124 zenon_H7d zenon_H7f zenon_H10 zenon_H16 zenon_H15 zenon_H14 zenon_H13. % 1.17/1.37 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.17/1.37 apply (zenon_L10_); trivial. % 1.17/1.37 apply (zenon_L94_); trivial. % 1.17/1.37 (* end of lemma zenon_L299_ *) % 1.17/1.37 assert (zenon_L300_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8)))))) -> (ndr1_0) -> (forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (~(c2_1 (a252))) -> (c1_1 (a252)) -> False). % 1.17/1.37 do 0 intro. intros zenon_H14f zenon_H10 zenon_H141 zenon_H90 zenon_H91. % 1.17/1.37 generalize (zenon_H14f (a252)). zenon_intro zenon_H222. % 1.17/1.37 apply (zenon_imply_s _ _ zenon_H222); [ zenon_intro zenon_Hf | zenon_intro zenon_H223 ]. % 1.17/1.37 exact (zenon_Hf zenon_H10). % 1.17/1.37 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H9b | zenon_intro zenon_H224 ]. % 1.17/1.37 apply (zenon_L153_); trivial. % 1.17/1.37 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H9c | zenon_intro zenon_H96 ]. % 1.17/1.37 exact (zenon_H90 zenon_H9c). % 1.17/1.37 exact (zenon_H96 zenon_H91). % 1.17/1.37 (* end of lemma zenon_L300_ *) % 1.17/1.37 assert (zenon_L301_ : ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> (c1_1 (a252)) -> (~(c2_1 (a252))) -> (forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp11)) -> False). % 1.17/1.37 do 0 intro. intros zenon_H15a zenon_H91 zenon_H90 zenon_H141 zenon_H10 zenon_H1 zenon_H3. % 1.17/1.37 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H14f | zenon_intro zenon_H15d ]. % 1.17/1.37 apply (zenon_L300_); trivial. % 1.17/1.37 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H2 | zenon_intro zenon_H4 ]. % 1.17/1.37 exact (zenon_H1 zenon_H2). % 1.17/1.37 exact (zenon_H3 zenon_H4). % 1.17/1.37 (* end of lemma zenon_L301_ *) % 1.17/1.37 assert (zenon_L302_ : ((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(c0_1 (a235))) -> (~(hskp0)) -> (~(c1_1 (a235))) -> (~(c3_1 (a235))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> (c1_1 (a252)) -> (~(c2_1 (a252))) -> (~(hskp10)) -> (~(hskp11)) -> False). % 1.17/1.37 do 0 intro. intros zenon_H34 zenon_H1a4 zenon_Hb9 zenon_H32 zenon_Hba zenon_Hbb zenon_H35 zenon_H15a zenon_H91 zenon_H90 zenon_H1 zenon_H3. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.17/1.37 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H198 | zenon_intro zenon_H1a5 ]. % 1.17/1.37 apply (zenon_L140_); trivial. % 1.17/1.37 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H16e | zenon_intro zenon_H141 ]. % 1.17/1.37 apply (zenon_L142_); trivial. % 1.17/1.37 apply (zenon_L301_); trivial. % 1.17/1.37 (* end of lemma zenon_L302_ *) % 1.17/1.37 assert (zenon_L303_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> (~(c1_1 (a235))) -> (~(c0_1 (a235))) -> (~(c3_1 (a235))) -> (~(hskp0)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> (~(c3_1 (a238))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> False). % 1.17/1.37 do 0 intro. intros zenon_Ha1 zenon_H3a zenon_H1a4 zenon_H1 zenon_H3 zenon_H15a zenon_Hba zenon_Hb9 zenon_Hbb zenon_H32 zenon_H35 zenon_H16 zenon_H15 zenon_H14 zenon_H13. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.17/1.37 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.17/1.37 apply (zenon_L10_); trivial. % 1.17/1.37 apply (zenon_L302_); trivial. % 1.17/1.37 (* end of lemma zenon_L303_ *) % 1.17/1.37 assert (zenon_L304_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> (~(c1_1 (a235))) -> (~(c0_1 (a235))) -> (~(c3_1 (a235))) -> (~(hskp0)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.17/1.37 do 0 intro. intros zenon_H39 zenon_Ha5 zenon_H1a4 zenon_H1 zenon_H15a zenon_Hba zenon_Hb9 zenon_Hbb zenon_H32 zenon_H35 zenon_H13 zenon_H7f zenon_H124 zenon_H123 zenon_H122 zenon_H3 zenon_H134 zenon_H3a. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.17/1.37 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.37 apply (zenon_L299_); trivial. % 1.17/1.37 apply (zenon_L303_); trivial. % 1.17/1.37 (* end of lemma zenon_L304_ *) % 1.17/1.37 assert (zenon_L305_ : ((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> False). % 1.17/1.37 do 0 intro. intros zenon_Hc4 zenon_H3d zenon_Ha5 zenon_H1a4 zenon_H1 zenon_H15a zenon_H35 zenon_H13 zenon_H7f zenon_H124 zenon_H123 zenon_H122 zenon_H3 zenon_H134 zenon_H3a zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H32 zenon_Hb1. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.17/1.37 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.37 apply (zenon_L62_); trivial. % 1.17/1.37 apply (zenon_L304_); trivial. % 1.17/1.37 (* end of lemma zenon_L305_ *) % 1.17/1.37 assert (zenon_L306_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.17/1.37 do 0 intro. intros zenon_Hc7 zenon_H3d zenon_H1a4 zenon_H1 zenon_H15a zenon_H35 zenon_H13 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_Hb1 zenon_H3a zenon_H134 zenon_H3 zenon_H7f zenon_H10 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc zenon_H9f zenon_H32 zenon_H1d8 zenon_Ha5. % 1.17/1.37 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.37 apply (zenon_L228_); trivial. % 1.17/1.37 apply (zenon_L305_); trivial. % 1.17/1.37 (* end of lemma zenon_L306_ *) % 1.17/1.37 assert (zenon_L307_ : ((ndr1_0)/\((c0_1 (a225))/\((~(c2_1 (a225)))/\(~(c3_1 (a225)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> False). % 1.17/1.37 do 0 intro. intros zenon_H136 zenon_Hf5 zenon_H184 zenon_Hc7 zenon_H3d zenon_H1a4 zenon_H15a zenon_H35 zenon_H13 zenon_Hb1 zenon_H3a zenon_H134 zenon_H7f zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc zenon_H9f zenon_H32 zenon_H1d8 zenon_Ha5 zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H1fe zenon_Hf1. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.17/1.37 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.17/1.37 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.17/1.37 apply (zenon_L306_); trivial. % 1.17/1.37 apply (zenon_L247_); trivial. % 1.17/1.37 apply (zenon_L285_); trivial. % 1.17/1.37 (* end of lemma zenon_L307_ *) % 1.17/1.37 assert (zenon_L308_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp7)) -> ((hskp15)\/((hskp7)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> (ndr1_0) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.17/1.37 do 0 intro. intros zenon_Hb7 zenon_H3d zenon_H3a zenon_H35 zenon_H32 zenon_H13 zenon_Hb zenon_Hd zenon_H15e zenon_H15a zenon_H3 zenon_H1 zenon_H10 zenon_H142 zenon_H143 zenon_H144 zenon_H14d zenon_H62 zenon_H65 zenon_H69. % 1.17/1.37 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.17/1.37 apply (zenon_L250_); trivial. % 1.17/1.37 apply (zenon_L126_); trivial. % 1.17/1.37 (* end of lemma zenon_L308_ *) % 1.17/1.37 assert (zenon_L309_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (c3_1 (a230)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7)))))) -> (~(c1_1 (a230))) -> (ndr1_0) -> (~(hskp27)) -> False). % 1.17/1.37 do 0 intro. intros zenon_H1dc zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H6d zenon_Hdc zenon_H75 zenon_H10 zenon_H11. % 1.17/1.37 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1dd ]. % 1.17/1.37 apply (zenon_L190_); trivial. % 1.17/1.37 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H74 | zenon_intro zenon_H12 ]. % 1.17/1.37 apply (zenon_L65_); trivial. % 1.17/1.37 exact (zenon_H11 zenon_H12). % 1.17/1.37 (* end of lemma zenon_L309_ *) % 1.17/1.37 assert (zenon_L310_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (ndr1_0) -> (~(c2_1 (a221))) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> False). % 1.17/1.37 do 0 intro. intros zenon_H1fe zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H6d zenon_H6c zenon_H75 zenon_H10 zenon_H142 zenon_He0 zenon_H143 zenon_H144. % 1.17/1.37 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1ff ]. % 1.17/1.37 apply (zenon_L246_); trivial. % 1.17/1.37 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H7a | zenon_intro zenon_Ha8 ]. % 1.17/1.37 apply (zenon_L31_); trivial. % 1.17/1.37 apply (zenon_L179_); trivial. % 1.17/1.37 (* end of lemma zenon_L310_ *) % 1.17/1.37 assert (zenon_L311_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> (c2_1 (a230)) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (ndr1_0) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a230))) -> (c3_1 (a230)) -> (~(hskp27)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> False). % 1.17/1.37 do 0 intro. intros zenon_Heb zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H6c zenon_H142 zenon_H143 zenon_H144 zenon_H1fe zenon_H10 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H75 zenon_H6d zenon_H11 zenon_H1dc. % 1.17/1.37 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.17/1.37 apply (zenon_L309_); trivial. % 1.17/1.37 apply (zenon_L310_); trivial. % 1.17/1.37 (* end of lemma zenon_L311_ *) % 1.17/1.37 assert (zenon_L312_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (ndr1_0) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (c2_1 (a230)) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> False). % 1.17/1.37 do 0 intro. intros zenon_H3a zenon_H7d zenon_H7f zenon_H1dc zenon_H6d zenon_H75 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H10 zenon_H1fe zenon_H144 zenon_H143 zenon_H142 zenon_H6c zenon_H1ed zenon_H1f9 zenon_H1ec zenon_Heb. % 1.17/1.37 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.17/1.37 apply (zenon_L311_); trivial. % 1.17/1.37 apply (zenon_L70_); trivial. % 1.17/1.37 (* end of lemma zenon_L312_ *) % 1.17/1.37 assert (zenon_L313_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (c2_1 (a230)) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> False). % 1.17/1.37 do 0 intro. intros zenon_Ha1 zenon_H3a zenon_H1d8 zenon_H32 zenon_H9d zenon_H9f zenon_H1dc zenon_H6d zenon_H75 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H1fe zenon_H144 zenon_H143 zenon_H142 zenon_H6c zenon_H1ed zenon_H1f9 zenon_H1ec zenon_Heb. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.17/1.37 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.17/1.37 apply (zenon_L311_); trivial. % 1.17/1.37 apply (zenon_L198_); trivial. % 1.17/1.37 (* end of lemma zenon_L313_ *) % 1.17/1.37 assert (zenon_L314_ : ((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(hskp0)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (c2_1 (a230)) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> False). % 1.17/1.37 do 0 intro. intros zenon_Hc4 zenon_H3a zenon_H1a4 zenon_H32 zenon_H35 zenon_H1dc zenon_H6d zenon_H75 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H1fe zenon_H144 zenon_H143 zenon_H142 zenon_H6c zenon_H1ed zenon_H1f9 zenon_H1ec zenon_Heb. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.17/1.37 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.17/1.37 apply (zenon_L311_); trivial. % 1.17/1.37 apply (zenon_L143_); trivial. % 1.17/1.37 (* end of lemma zenon_L314_ *) % 1.17/1.37 assert (zenon_L315_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.17/1.37 do 0 intro. intros zenon_Hee zenon_Hc7 zenon_H1a4 zenon_H35 zenon_H3a zenon_H7f zenon_H1dc zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H1fe zenon_H144 zenon_H143 zenon_H142 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_Heb zenon_H9f zenon_H32 zenon_H1d8 zenon_Ha5. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.17/1.37 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.37 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.37 apply (zenon_L312_); trivial. % 1.17/1.37 apply (zenon_L313_); trivial. % 1.17/1.37 apply (zenon_L314_); trivial. % 1.17/1.37 (* end of lemma zenon_L315_ *) % 1.17/1.37 assert (zenon_L316_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((hskp15)\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (~(c2_1 (a216))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.17/1.37 do 0 intro. intros zenon_Hb7 zenon_H134 zenon_Hd zenon_H3 zenon_Hb zenon_H69 zenon_H65 zenon_H62 zenon_H44 zenon_H13 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8 zenon_H3a zenon_H57 zenon_H13a zenon_Heb zenon_H1ec zenon_H1ed zenon_H184 zenon_H11e zenon_H142 zenon_H143 zenon_H144 zenon_H17f zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H186 zenon_H1f9 zenon_H1fe zenon_H1a4 zenon_Hb4 zenon_H3d. % 1.17/1.37 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.17/1.37 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.37 apply (zenon_L7_); trivial. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.17/1.37 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.17/1.37 apply (zenon_L294_); trivial. % 1.17/1.37 apply (zenon_L260_); trivial. % 1.17/1.37 apply (zenon_L193_); trivial. % 1.17/1.37 (* end of lemma zenon_L316_ *) % 1.17/1.37 assert (zenon_L317_ : ((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> (~(hskp0)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> (~(hskp7)) -> (~(hskp11)) -> ((hskp15)\/((hskp7)\/(hskp11))) -> False). % 1.17/1.37 do 0 intro. intros zenon_Hc4 zenon_H3d zenon_Ha5 zenon_H1a4 zenon_H1 zenon_H15a zenon_H32 zenon_H35 zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H7f zenon_Heb zenon_H3a zenon_Hb zenon_H3 zenon_Hd. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.17/1.37 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.37 apply (zenon_L7_); trivial. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.17/1.37 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.37 apply (zenon_L159_); trivial. % 1.17/1.37 apply (zenon_L303_); trivial. % 1.17/1.37 (* end of lemma zenon_L317_ *) % 1.17/1.37 assert (zenon_L318_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((hskp15)\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp0)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.17/1.37 do 0 intro. intros zenon_Hc7 zenon_H1a4 zenon_H1 zenon_H15a zenon_H35 zenon_Hd zenon_H3 zenon_Hb zenon_H3a zenon_Heb zenon_H7f zenon_H1ad zenon_H1ac zenon_H1ab zenon_H13 zenon_H9f zenon_H32 zenon_H50 zenon_H53 zenon_Ha5 zenon_H3d. % 1.17/1.37 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.37 apply (zenon_L177_); trivial. % 1.17/1.37 apply (zenon_L317_); trivial. % 1.17/1.37 (* end of lemma zenon_L318_ *) % 1.17/1.37 assert (zenon_L319_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (~(hskp18)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.17/1.37 do 0 intro. intros zenon_Ha5 zenon_H1bd zenon_H1b4 zenon_H1b8 zenon_H8b zenon_Hd1 zenon_H1ad zenon_H1ac zenon_H1ab zenon_H57 zenon_H53 zenon_H32 zenon_H50 zenon_H40 zenon_H44 zenon_H1fe zenon_H13 zenon_H6d zenon_H6c zenon_H75 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H7f zenon_Heb zenon_H3a zenon_H69. % 1.17/1.37 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.37 apply (zenon_L289_); trivial. % 1.17/1.37 apply (zenon_L157_); trivial. % 1.17/1.37 (* end of lemma zenon_L319_ *) % 1.17/1.37 assert (zenon_L320_ : ((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.17/1.37 do 0 intro. intros zenon_Hc4 zenon_Hb4 zenon_Hc2 zenon_H69 zenon_H3a zenon_Heb zenon_H7f zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H75 zenon_H6c zenon_H6d zenon_H13 zenon_H1fe zenon_H44 zenon_H50 zenon_H32 zenon_H53 zenon_H57 zenon_H1ab zenon_H1ac zenon_H1ad zenon_Hd1 zenon_H8b zenon_H1b8 zenon_H1b4 zenon_H1bd zenon_Ha5. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.17/1.37 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.17/1.37 apply (zenon_L319_); trivial. % 1.17/1.37 apply (zenon_L49_); trivial. % 1.17/1.37 (* end of lemma zenon_L320_ *) % 1.17/1.37 assert (zenon_L321_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.17/1.37 do 0 intro. intros zenon_Hee zenon_Hc7 zenon_Hc2 zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H1fe zenon_Hb4 zenon_H9f zenon_H8d zenon_H69 zenon_H3a zenon_Heb zenon_H7f zenon_H1ad zenon_H1ac zenon_H1ab zenon_H13 zenon_Hb1 zenon_H44 zenon_H50 zenon_H32 zenon_H53 zenon_H57 zenon_Hd1 zenon_H8b zenon_H1b8 zenon_H1b4 zenon_H1bd zenon_Ha5 zenon_H3d. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.17/1.37 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.37 apply (zenon_L161_); trivial. % 1.17/1.37 apply (zenon_L320_); trivial. % 1.17/1.37 (* end of lemma zenon_L321_ *) % 1.17/1.37 assert (zenon_L322_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.17/1.37 do 0 intro. intros zenon_Hee zenon_Hb4 zenon_H8d zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H69 zenon_H3a zenon_Heb zenon_H7f zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H13 zenon_H1fe zenon_H44 zenon_H50 zenon_H32 zenon_H53 zenon_H57 zenon_H1ab zenon_H1ac zenon_H1ad zenon_Hd1 zenon_H8b zenon_H1b8 zenon_H1b4 zenon_H1bd zenon_Ha5. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.17/1.37 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.17/1.37 apply (zenon_L319_); trivial. % 1.17/1.37 apply (zenon_L55_); trivial. % 1.17/1.37 (* end of lemma zenon_L322_ *) % 1.17/1.37 assert (zenon_L323_ : ((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> ((hskp15)\/((hskp7)\/(hskp11))) -> (~(hskp7)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.17/1.37 do 0 intro. intros zenon_Hf2 zenon_Hf1 zenon_H69 zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H1fe zenon_H44 zenon_H50 zenon_H32 zenon_H53 zenon_H57 zenon_H1b4 zenon_H1bd zenon_Hd zenon_Hb zenon_Ha5 zenon_Hd1 zenon_H8b zenon_H1b8 zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H7f zenon_Heb zenon_H3a zenon_H8d zenon_Hb4 zenon_H3d. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.17/1.37 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.17/1.37 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.17/1.37 apply (zenon_L173_); trivial. % 1.17/1.37 apply (zenon_L322_); trivial. % 1.17/1.37 (* end of lemma zenon_L323_ *) % 1.17/1.37 assert (zenon_L324_ : ((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> False). % 1.17/1.37 do 0 intro. intros zenon_H34 zenon_Heb zenon_H1ec zenon_H1f9 zenon_H1ed zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H1fe zenon_H1ad zenon_H1ac zenon_H1ab. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.17/1.37 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.17/1.37 apply (zenon_L148_); trivial. % 1.17/1.37 apply (zenon_L274_); trivial. % 1.17/1.37 (* end of lemma zenon_L324_ *) % 1.17/1.37 assert (zenon_L325_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> False). % 1.17/1.37 do 0 intro. intros zenon_H39 zenon_H3a zenon_Heb zenon_H1ec zenon_H1f9 zenon_H1ed zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H1fe zenon_H1ad zenon_H1ac zenon_H1ab zenon_H13. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.17/1.37 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.17/1.37 apply (zenon_L10_); trivial. % 1.17/1.37 apply (zenon_L324_); trivial. % 1.17/1.37 (* end of lemma zenon_L325_ *) % 1.17/1.37 assert (zenon_L326_ : ((ndr1_0)/\((c0_1 (a225))/\((~(c2_1 (a225)))/\(~(c3_1 (a225)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> ((hskp15)\/((hskp7)\/(hskp11))) -> (~(hskp7)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.17/1.37 do 0 intro. intros zenon_H136 zenon_Hf1 zenon_Hd zenon_Hb zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H1fe zenon_H1ed zenon_H1f9 zenon_H1ec zenon_Heb zenon_H3a zenon_H3d. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.17/1.37 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.17/1.37 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.17/1.37 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.37 apply (zenon_L7_); trivial. % 1.17/1.39 apply (zenon_L325_); trivial. % 1.17/1.39 apply (zenon_L247_); trivial. % 1.17/1.39 (* end of lemma zenon_L326_ *) % 1.17/1.39 assert (zenon_L327_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> (~(hskp5)) -> False). % 1.17/1.39 do 0 intro. intros zenon_H195 zenon_H1bd zenon_H1ad zenon_H1ac zenon_H1ab zenon_H1b4. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Hdc | zenon_intro zenon_H1be ]. % 1.17/1.39 apply (zenon_L148_); trivial. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_Hfa | zenon_intro zenon_H1b5 ]. % 1.17/1.39 apply (zenon_L135_); trivial. % 1.17/1.39 exact (zenon_H1b4 zenon_H1b5). % 1.17/1.39 (* end of lemma zenon_L327_ *) % 1.17/1.39 assert (zenon_L328_ : ((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> False). % 1.17/1.39 do 0 intro. intros zenon_Hc4 zenon_H3d zenon_H124 zenon_H123 zenon_H122 zenon_H134 zenon_Ha5 zenon_H1a4 zenon_H1 zenon_H3 zenon_H15a zenon_H35 zenon_H57 zenon_H53 zenon_H32 zenon_H50 zenon_H44 zenon_Hb1 zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H7f zenon_Heb zenon_H3a zenon_H69 zenon_Hc2 zenon_Hb4. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.39 apply (zenon_L152_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.17/1.39 apply (zenon_L24_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H10. zenon_intro zenon_H66. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5a. zenon_intro zenon_H67. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.17/1.39 apply (zenon_L43_); trivial. % 1.17/1.39 apply (zenon_L302_); trivial. % 1.17/1.39 apply (zenon_L49_); trivial. % 1.17/1.39 apply (zenon_L304_); trivial. % 1.17/1.39 (* end of lemma zenon_L328_ *) % 1.17/1.39 assert (zenon_L329_ : ((ndr1_0)/\((c0_1 (a225))/\((~(c2_1 (a225)))/\(~(c3_1 (a225)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> False). % 1.17/1.39 do 0 intro. intros zenon_H136 zenon_H3d zenon_H3a zenon_Heb zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H1fe zenon_H1ad zenon_H1ac zenon_H1ab zenon_H13 zenon_H32 zenon_Hb1. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.39 apply (zenon_L62_); trivial. % 1.17/1.39 apply (zenon_L325_); trivial. % 1.17/1.39 (* end of lemma zenon_L329_ *) % 1.17/1.39 assert (zenon_L330_ : ((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> False). % 1.17/1.39 do 0 intro. intros zenon_H34 zenon_Heb zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H142 zenon_H143 zenon_H144 zenon_H1fe zenon_H1ad zenon_H1ac zenon_H1ab. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.17/1.39 apply (zenon_L148_); trivial. % 1.17/1.39 apply (zenon_L257_); trivial. % 1.17/1.39 (* end of lemma zenon_L330_ *) % 1.17/1.39 assert (zenon_L331_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> False). % 1.17/1.39 do 0 intro. intros zenon_H39 zenon_H3a zenon_Heb zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H142 zenon_H143 zenon_H144 zenon_H1fe zenon_H1ad zenon_H1ac zenon_H1ab zenon_H13. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.17/1.39 apply (zenon_L10_); trivial. % 1.17/1.39 apply (zenon_L330_); trivial. % 1.17/1.39 (* end of lemma zenon_L331_ *) % 1.17/1.39 assert (zenon_L332_ : ((ndr1_0)/\((c0_1 (a221))/\((c1_1 (a221))/\(~(c2_1 (a221)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> False). % 1.17/1.39 do 0 intro. intros zenon_H1e4 zenon_H3d zenon_H3a zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H1fe zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_Hb1 zenon_H32 zenon_Heb. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H10. zenon_intro zenon_H1e5. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H143. zenon_intro zenon_H1e6. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H144. zenon_intro zenon_H142. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.39 apply (zenon_L180_); trivial. % 1.17/1.39 apply (zenon_L331_); trivial. % 1.17/1.39 (* end of lemma zenon_L332_ *) % 1.17/1.39 assert (zenon_L333_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> False). % 1.17/1.39 do 0 intro. intros zenon_Hee zenon_Hc7 zenon_H3d zenon_H1a4 zenon_H35 zenon_H1b8 zenon_Hd1 zenon_Hb1 zenon_Ha5 zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H9f zenon_H57 zenon_H53 zenon_H32 zenon_H50 zenon_H44 zenon_H1fe zenon_H13 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H7f zenon_Heb zenon_H3a zenon_H69 zenon_H8d zenon_H8b zenon_H1dc zenon_H1ad zenon_H1ac zenon_H1ab zenon_Hb4. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.17/1.39 apply (zenon_L296_); trivial. % 1.17/1.39 apply (zenon_L200_); trivial. % 1.17/1.39 apply (zenon_L212_); trivial. % 1.17/1.39 (* end of lemma zenon_L333_ *) % 1.17/1.39 assert (zenon_L334_ : ((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp0)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> (~(hskp7)) -> (~(hskp11)) -> ((hskp15)\/((hskp7)\/(hskp11))) -> False). % 1.17/1.39 do 0 intro. intros zenon_Hc4 zenon_H3d zenon_Ha5 zenon_H1a4 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8 zenon_H32 zenon_H35 zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H7f zenon_Heb zenon_H3a zenon_Hb zenon_H3 zenon_Hd. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.39 apply (zenon_L7_); trivial. % 1.17/1.39 apply (zenon_L221_); trivial. % 1.17/1.39 (* end of lemma zenon_L334_ *) % 1.17/1.39 assert (zenon_L335_ : ((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> (~(hskp7)) -> ((hskp15)\/((hskp7)\/(hskp11))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> False). % 1.17/1.39 do 0 intro. intros zenon_Hf2 zenon_Hf1 zenon_Hd1 zenon_H1dc zenon_H1b8 zenon_H1fe zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H3d zenon_Hb4 zenon_H8d zenon_H8b zenon_H3a zenon_Heb zenon_H7f zenon_H1ad zenon_H1ac zenon_H1ab zenon_H13 zenon_H57 zenon_H53 zenon_H32 zenon_H50 zenon_H44 zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H9f zenon_H17f zenon_H1e2 zenon_H13a zenon_H69 zenon_Ha5 zenon_Hb zenon_Hd zenon_H35 zenon_H1a4 zenon_Hc7. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.39 apply (zenon_L7_); trivial. % 1.17/1.39 apply (zenon_L220_); trivial. % 1.17/1.39 apply (zenon_L334_); trivial. % 1.17/1.39 apply (zenon_L297_); trivial. % 1.17/1.39 (* end of lemma zenon_L335_ *) % 1.17/1.39 assert (zenon_L336_ : ((~(hskp4))\/((ndr1_0)/\((c3_1 (a218))/\((~(c0_1 (a218)))/\(~(c1_1 (a218))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a221))/\((c1_1 (a221))/\(~(c2_1 (a221))))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a224))/\((c3_1 (a224))/\(~(c1_1 (a224))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((hskp1)\/(hskp4))) -> (~(hskp1)) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((hskp15)\/((hskp7)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a282))/\((~(c1_1 (a282)))/\(~(c3_1 (a282))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> ((hskp24)\/((hskp8)\/(hskp10))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((hskp10)\/((hskp11)\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (~(c2_1 (a216))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a225))/\((~(c2_1 (a225)))/\(~(c3_1 (a225))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((~(hskp5))\/((ndr1_0)/\((c2_1 (a220))/\((~(c0_1 (a220)))/\(~(c3_1 (a220))))))) -> False). % 1.17/1.39 do 0 intro. intros zenon_H225 zenon_H1e2 zenon_H1e8 zenon_H1a6 zenon_H207 zenon_H205 zenon_H21f zenon_H21a zenon_H20f zenon_H1a4 zenon_H186 zenon_H17f zenon_H184 zenon_Hd zenon_H15e zenon_H15a zenon_H14d zenon_H220 zenon_Hf5 zenon_Hd1 zenon_H8d zenon_Hb7 zenon_H1a7 zenon_H13b zenon_H11e zenon_H13a zenon_H69 zenon_H13c zenon_H1bd zenon_H32 zenon_Hb1 zenon_H1ec zenon_H1ed zenon_H18a zenon_Hf6 zenon_H13 zenon_H35 zenon_H3a zenon_H3d zenon_H7 zenon_Heb zenon_H7f zenon_H9f zenon_H53 zenon_Ha5 zenon_Hb4 zenon_Hc2 zenon_H57 zenon_H44 zenon_H65 zenon_Hc7 zenon_Hf1 zenon_H1fe zenon_H1f9 zenon_Hec zenon_H139 zenon_H1d8 zenon_H134 zenon_H1b8 zenon_H1dc zenon_H1e7. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H62 | zenon_intro zenon_H226 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1e9 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H8b | zenon_intro zenon_H1e4 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.17/1.39 apply (zenon_L245_); trivial. % 1.17/1.39 apply (zenon_L249_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H10. zenon_intro zenon_H1e5. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H143. zenon_intro zenon_H1e6. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H144. zenon_intro zenon_H142. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.17/1.39 apply (zenon_L251_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.39 apply (zenon_L7_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.17/1.39 apply (zenon_L28_); trivial. % 1.17/1.39 apply (zenon_L260_); trivial. % 1.17/1.39 apply (zenon_L126_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.17/1.39 apply (zenon_L28_); trivial. % 1.17/1.39 apply (zenon_L262_); trivial. % 1.17/1.39 apply (zenon_L181_); trivial. % 1.17/1.39 apply (zenon_L243_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.17/1.39 apply (zenon_L45_); trivial. % 1.17/1.39 apply (zenon_L262_); trivial. % 1.17/1.39 apply (zenon_L15_); trivial. % 1.17/1.39 apply (zenon_L273_); trivial. % 1.17/1.39 apply (zenon_L52_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.17/1.39 apply (zenon_L248_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.39 apply (zenon_L62_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.17/1.39 apply (zenon_L276_); trivial. % 1.17/1.39 apply (zenon_L260_); trivial. % 1.17/1.39 apply (zenon_L63_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.17/1.39 apply (zenon_L251_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.39 apply (zenon_L278_); trivial. % 1.17/1.39 apply (zenon_L134_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Hdc | zenon_intro zenon_H1be ]. % 1.17/1.39 apply (zenon_L280_); trivial. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_Hfa | zenon_intro zenon_H1b5 ]. % 1.17/1.39 apply (zenon_L135_); trivial. % 1.17/1.39 exact (zenon_H1b4 zenon_H1b5). % 1.17/1.39 apply (zenon_L281_); trivial. % 1.17/1.39 apply (zenon_L52_); trivial. % 1.17/1.39 apply (zenon_L286_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H10. zenon_intro zenon_H1ea. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d1. zenon_intro zenon_H1eb. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1cf. zenon_intro zenon_H1d0. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H8b | zenon_intro zenon_H1e4 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.17/1.39 apply (zenon_L194_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.39 apply (zenon_L47_); trivial. % 1.17/1.39 apply (zenon_L291_); trivial. % 1.17/1.39 apply (zenon_L298_); trivial. % 1.17/1.39 apply (zenon_L249_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.17/1.39 apply (zenon_L231_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.39 apply (zenon_L234_); trivial. % 1.17/1.39 apply (zenon_L291_); trivial. % 1.17/1.39 apply (zenon_L307_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H10. zenon_intro zenon_H1e5. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H143. zenon_intro zenon_H1e6. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H144. zenon_intro zenon_H142. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.17/1.39 apply (zenon_L308_); trivial. % 1.17/1.39 apply (zenon_L315_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.17/1.39 apply (zenon_L316_); trivial. % 1.17/1.39 apply (zenon_L315_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.17/1.39 apply (zenon_L231_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.39 apply (zenon_L234_); trivial. % 1.17/1.39 apply (zenon_L314_); trivial. % 1.17/1.39 apply (zenon_L307_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H10. zenon_intro zenon_H227. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ad. zenon_intro zenon_H228. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1e9 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H8b | zenon_intro zenon_H1e4 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.17/1.39 apply (zenon_L318_); trivial. % 1.17/1.39 apply (zenon_L321_); trivial. % 1.17/1.39 apply (zenon_L323_); trivial. % 1.17/1.39 apply (zenon_L326_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.39 apply (zenon_L240_); trivial. % 1.17/1.39 apply (zenon_L160_); trivial. % 1.17/1.39 apply (zenon_L327_); trivial. % 1.17/1.39 apply (zenon_L328_); trivial. % 1.17/1.39 apply (zenon_L321_); trivial. % 1.17/1.39 apply (zenon_L176_); trivial. % 1.17/1.39 apply (zenon_L329_); trivial. % 1.17/1.39 apply (zenon_L332_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H10. zenon_intro zenon_H1ea. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d1. zenon_intro zenon_H1eb. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1cf. zenon_intro zenon_H1d0. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H8b | zenon_intro zenon_H1e4 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.17/1.39 apply (zenon_L318_); trivial. % 1.17/1.39 apply (zenon_L333_); trivial. % 1.17/1.39 apply (zenon_L335_); trivial. % 1.17/1.39 apply (zenon_L326_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.39 apply (zenon_L228_); trivial. % 1.17/1.39 apply (zenon_L328_); trivial. % 1.17/1.39 apply (zenon_L333_); trivial. % 1.17/1.39 apply (zenon_L167_); trivial. % 1.17/1.39 apply (zenon_L224_); trivial. % 1.17/1.39 apply (zenon_L235_); trivial. % 1.17/1.39 (* end of lemma zenon_L336_ *) % 1.17/1.39 assert (zenon_L337_ : (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> False). % 1.17/1.39 do 0 intro. intros zenon_H229 zenon_H10 zenon_H22a zenon_H22b zenon_H22c. % 1.17/1.39 generalize (zenon_H229 (a214)). zenon_intro zenon_H22d. % 1.17/1.39 apply (zenon_imply_s _ _ zenon_H22d); [ zenon_intro zenon_Hf | zenon_intro zenon_H22e ]. % 1.17/1.39 exact (zenon_Hf zenon_H10). % 1.17/1.39 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H230 | zenon_intro zenon_H22f ]. % 1.17/1.39 exact (zenon_H22a zenon_H230). % 1.17/1.39 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H232 | zenon_intro zenon_H231 ]. % 1.17/1.39 exact (zenon_H232 zenon_H22b). % 1.17/1.39 exact (zenon_H231 zenon_H22c). % 1.17/1.39 (* end of lemma zenon_L337_ *) % 1.17/1.39 assert (zenon_L338_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp10)\/(hskp12))) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp12)) -> False). % 1.17/1.39 do 0 intro. intros zenon_H233 zenon_H22c zenon_H22b zenon_H22a zenon_H10 zenon_H1 zenon_H9d. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H229 | zenon_intro zenon_H234 ]. % 1.17/1.39 apply (zenon_L337_); trivial. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H2 | zenon_intro zenon_H9e ]. % 1.17/1.39 exact (zenon_H1 zenon_H2). % 1.17/1.39 exact (zenon_H9d zenon_H9e). % 1.17/1.39 (* end of lemma zenon_L338_ *) % 1.17/1.39 assert (zenon_L339_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> (ndr1_0) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp10)\/(hskp12))) -> False). % 1.17/1.39 do 0 intro. intros zenon_Hc7 zenon_Hb7 zenon_H3d zenon_H3a zenon_H35 zenon_H13 zenon_Hb1 zenon_H69 zenon_H65 zenon_H62 zenon_H44 zenon_H50 zenon_H32 zenon_H53 zenon_H57 zenon_Hc2 zenon_Hb4 zenon_H10 zenon_H22a zenon_H22b zenon_H22c zenon_H1 zenon_H233. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.39 apply (zenon_L338_); trivial. % 1.17/1.39 apply (zenon_L52_); trivial. % 1.17/1.39 (* end of lemma zenon_L339_ *) % 1.17/1.39 assert (zenon_L340_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp10)\/(hskp12))) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> (ndr1_0) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> False). % 1.17/1.39 do 0 intro. intros zenon_Hf5 zenon_Hd1 zenon_H8b zenon_H8d zenon_H233 zenon_H22c zenon_H22b zenon_H22a zenon_H10 zenon_Hb4 zenon_Hc2 zenon_H57 zenon_H53 zenon_H32 zenon_H50 zenon_H44 zenon_H62 zenon_H65 zenon_H69 zenon_Hb1 zenon_H13 zenon_H35 zenon_H3a zenon_H3d zenon_Hb7 zenon_Hc7. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.17/1.39 apply (zenon_L339_); trivial. % 1.17/1.39 apply (zenon_L96_); trivial. % 1.17/1.39 (* end of lemma zenon_L340_ *) % 1.17/1.39 assert (zenon_L341_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp8)\/(hskp3))) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> (~(hskp4)) -> False). % 1.17/1.39 do 0 intro. intros zenon_Ha1 zenon_H235 zenon_H15f zenon_H50 zenon_H161 zenon_H22c zenon_H22b zenon_H22a zenon_H62. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1de | zenon_intro zenon_H236 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H58 | zenon_intro zenon_H162 ]. % 1.17/1.39 apply (zenon_L213_); trivial. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H51 | zenon_intro zenon_H160 ]. % 1.17/1.39 exact (zenon_H50 zenon_H51). % 1.17/1.39 exact (zenon_H15f zenon_H160). % 1.17/1.39 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H229 | zenon_intro zenon_H63 ]. % 1.17/1.39 apply (zenon_L337_); trivial. % 1.17/1.39 exact (zenon_H62 zenon_H63). % 1.17/1.39 (* end of lemma zenon_L341_ *) % 1.17/1.39 assert (zenon_L342_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp8)\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.17/1.39 do 0 intro. intros zenon_Hee zenon_Ha5 zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H15e zenon_H163 zenon_H15f zenon_H7f zenon_H142 zenon_H143 zenon_H144 zenon_H14d zenon_H50 zenon_H161 zenon_H69. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.39 apply (zenon_L110_); trivial. % 1.17/1.39 apply (zenon_L341_); trivial. % 1.17/1.39 (* end of lemma zenon_L342_ *) % 1.17/1.39 assert (zenon_L343_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> (ndr1_0) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (~(hskp8)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp8)\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.17/1.39 do 0 intro. intros zenon_Hf1 zenon_Ha5 zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H163 zenon_H7f zenon_H15e zenon_H15a zenon_H1 zenon_H10 zenon_H142 zenon_H143 zenon_H144 zenon_H14d zenon_H50 zenon_H15f zenon_H161 zenon_H69. % 1.17/1.39 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.17/1.39 apply (zenon_L107_); trivial. % 1.17/1.39 apply (zenon_L342_); trivial. % 1.17/1.39 (* end of lemma zenon_L343_ *) % 1.17/1.39 assert (zenon_L344_ : (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36)))))) -> (ndr1_0) -> (~(c0_1 (a260))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> (c1_1 (a260)) -> False). % 1.17/1.39 do 0 intro. intros zenon_H1de zenon_H10 zenon_H150 zenon_H16a zenon_H152. % 1.17/1.39 generalize (zenon_H1de (a260)). zenon_intro zenon_H237. % 1.17/1.39 apply (zenon_imply_s _ _ zenon_H237); [ zenon_intro zenon_Hf | zenon_intro zenon_H238 ]. % 1.17/1.39 exact (zenon_Hf zenon_H10). % 1.17/1.39 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H156 | zenon_intro zenon_H239 ]. % 1.17/1.39 exact (zenon_H150 zenon_H156). % 1.17/1.39 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H23a | zenon_intro zenon_H157 ]. % 1.17/1.39 generalize (zenon_H16a (a260)). zenon_intro zenon_H23b. % 1.17/1.39 apply (zenon_imply_s _ _ zenon_H23b); [ zenon_intro zenon_Hf | zenon_intro zenon_H23c ]. % 1.17/1.39 exact (zenon_Hf zenon_H10). % 1.17/1.39 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H156 | zenon_intro zenon_H23d ]. % 1.17/1.39 exact (zenon_H150 zenon_H156). % 1.17/1.39 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H157 | zenon_intro zenon_H23e ]. % 1.17/1.39 exact (zenon_H157 zenon_H152). % 1.17/1.39 exact (zenon_H23e zenon_H23a). % 1.17/1.39 exact (zenon_H157 zenon_H152). % 1.17/1.39 (* end of lemma zenon_L344_ *) % 1.17/1.39 assert (zenon_L345_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (c1_1 (a260)) -> (~(c0_1 (a260))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36)))))) -> (c3_1 (a232)) -> (c2_1 (a232)) -> (ndr1_0) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (~(hskp20)) -> (c0_1 (a247)) -> (c3_1 (a247)) -> (~(c2_1 (a247))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (~(hskp28)) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(hskp13)) -> False). % 1.17/1.39 do 0 intro. intros zenon_H186 zenon_H152 zenon_H150 zenon_H1de zenon_H2b zenon_H2a zenon_H10 zenon_H17f zenon_H3e zenon_H83 zenon_H84 zenon_H82 zenon_H15 zenon_H14 zenon_H16 zenon_H11e zenon_H144 zenon_H143 zenon_H142 zenon_H109 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H184 zenon_H5. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16a | zenon_intro zenon_H187 ]. % 1.17/1.39 apply (zenon_L344_); trivial. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H7a | zenon_intro zenon_H6 ]. % 1.17/1.39 apply (zenon_L121_); trivial. % 1.17/1.39 exact (zenon_H5 zenon_H6). % 1.17/1.39 (* end of lemma zenon_L345_ *) % 1.17/1.39 assert (zenon_L346_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (c1_1 (a260)) -> (~(c0_1 (a260))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36)))))) -> (c3_1 (a232)) -> (c2_1 (a232)) -> (ndr1_0) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (c2_1 (a246)) -> (c1_1 (a246)) -> (c0_1 (a246)) -> (~(c2_1 (a247))) -> (c3_1 (a247)) -> (c0_1 (a247)) -> (~(hskp20)) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(hskp13)) -> False). % 1.17/1.39 do 0 intro. intros zenon_H186 zenon_H152 zenon_H150 zenon_H1de zenon_H2b zenon_H2a zenon_H10 zenon_H11e zenon_H10e zenon_H10d zenon_H10c zenon_H82 zenon_H84 zenon_H83 zenon_H3e zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H184 zenon_H5. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16a | zenon_intro zenon_H187 ]. % 1.17/1.39 apply (zenon_L344_); trivial. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H7a | zenon_intro zenon_H6 ]. % 1.17/1.39 apply (zenon_L123_); trivial. % 1.17/1.39 exact (zenon_H5 zenon_H6). % 1.17/1.39 (* end of lemma zenon_L346_ *) % 1.17/1.39 assert (zenon_L347_ : ((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> (~(hskp20)) -> (c0_1 (a247)) -> (c3_1 (a247)) -> (~(c2_1 (a247))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (c2_1 (a232)) -> (c3_1 (a232)) -> (~(c0_1 (a260))) -> (c1_1 (a260)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> (~(hskp4)) -> False). % 1.17/1.39 do 0 intro. intros zenon_H11d zenon_H235 zenon_H5 zenon_H184 zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H3e zenon_H83 zenon_H84 zenon_H82 zenon_H11e zenon_H2a zenon_H2b zenon_H150 zenon_H152 zenon_H186 zenon_H22c zenon_H22b zenon_H22a zenon_H62. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1de | zenon_intro zenon_H236 ]. % 1.17/1.39 apply (zenon_L346_); trivial. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H229 | zenon_intro zenon_H63 ]. % 1.17/1.39 apply (zenon_L337_); trivial. % 1.17/1.39 exact (zenon_H62 zenon_H63). % 1.17/1.39 (* end of lemma zenon_L347_ *) % 1.17/1.39 assert (zenon_L348_ : ((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (~(c3_1 (a238))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.17/1.39 do 0 intro. intros zenon_Ha4 zenon_H69 zenon_H65 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H13 zenon_H14 zenon_H15 zenon_H16 zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H184 zenon_H11e zenon_H17f zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H5 zenon_H186 zenon_H13a zenon_H3a zenon_H15e. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.17/1.39 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14b | zenon_intro zenon_H159 ]. % 1.17/1.39 apply (zenon_L101_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H10. zenon_intro zenon_H15b. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H152. zenon_intro zenon_H15c. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.17/1.39 apply (zenon_L10_); trivial. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.17/1.39 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1de | zenon_intro zenon_H236 ]. % 1.17/1.39 apply (zenon_L345_); trivial. % 1.17/1.39 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H229 | zenon_intro zenon_H63 ]. % 1.17/1.39 apply (zenon_L337_); trivial. % 1.17/1.39 exact (zenon_H62 zenon_H63). % 1.17/1.39 apply (zenon_L347_); trivial. % 1.17/1.39 apply (zenon_L27_); trivial. % 1.17/1.39 (* end of lemma zenon_L348_ *) % 1.17/1.39 assert (zenon_L349_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp4)) -> (~(hskp13)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.17/1.40 do 0 intro. intros zenon_H39 zenon_Hb4 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H13 zenon_H235 zenon_H22c zenon_H22b zenon_H22a zenon_H184 zenon_H11e zenon_H17f zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H186 zenon_H13a zenon_H3a zenon_H15e zenon_H57 zenon_H53 zenon_H32 zenon_H50 zenon_H44 zenon_H62 zenon_H5 zenon_H65 zenon_H69. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.17/1.40 apply (zenon_L28_); trivial. % 1.17/1.40 apply (zenon_L348_); trivial. % 1.17/1.40 (* end of lemma zenon_L349_ *) % 1.17/1.40 assert (zenon_L350_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((hskp15)\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.17/1.40 do 0 intro. intros zenon_Hb7 zenon_H35 zenon_Hd zenon_H3 zenon_Hb zenon_H69 zenon_H65 zenon_H62 zenon_H44 zenon_H50 zenon_H32 zenon_H53 zenon_H57 zenon_H15e zenon_H3a zenon_H13a zenon_H186 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H17f zenon_H11e zenon_H184 zenon_H22a zenon_H22b zenon_H22c zenon_H235 zenon_H13 zenon_H142 zenon_H143 zenon_H144 zenon_H14d zenon_Hb4 zenon_H3d. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.40 apply (zenon_L7_); trivial. % 1.17/1.40 apply (zenon_L349_); trivial. % 1.17/1.40 apply (zenon_L126_); trivial. % 1.17/1.40 (* end of lemma zenon_L350_ *) % 1.17/1.40 assert (zenon_L351_ : ((~(hskp10))\/((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp7)) -> ((hskp15)\/((hskp7)\/(hskp11))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp8)\/(hskp3))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (ndr1_0) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> False). % 1.17/1.40 do 0 intro. intros zenon_Hf5 zenon_H3d zenon_Hb4 zenon_H13 zenon_H184 zenon_H11e zenon_H17f zenon_H186 zenon_H13a zenon_H3a zenon_H57 zenon_H53 zenon_H32 zenon_H44 zenon_H65 zenon_Hb zenon_Hd zenon_H35 zenon_Hb7 zenon_H69 zenon_H161 zenon_H15f zenon_H50 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H10 zenon_H15a zenon_H15e zenon_H7f zenon_H163 zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235 zenon_Ha5 zenon_Hf1. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.17/1.40 apply (zenon_L343_); trivial. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.17/1.40 apply (zenon_L350_); trivial. % 1.17/1.40 apply (zenon_L342_); trivial. % 1.17/1.40 (* end of lemma zenon_L351_ *) % 1.17/1.40 assert (zenon_L352_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (ndr1_0) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp10)\/(hskp12))) -> False). % 1.17/1.40 do 0 intro. intros zenon_Hc7 zenon_H3d zenon_H3a zenon_H1a4 zenon_H144 zenon_H143 zenon_H142 zenon_H35 zenon_H13 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H32 zenon_Hb1 zenon_H10 zenon_H22a zenon_H22b zenon_H22c zenon_H1 zenon_H233. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.40 apply (zenon_L338_); trivial. % 1.17/1.40 apply (zenon_L145_); trivial. % 1.17/1.40 (* end of lemma zenon_L352_ *) % 1.17/1.40 assert (zenon_L353_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (c1_1 (a260)) -> (~(c0_1 (a260))) -> (ndr1_0) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36)))))) -> (~(hskp14)) -> (~(hskp15)) -> False). % 1.17/1.40 do 0 intro. intros zenon_H18a zenon_H152 zenon_H150 zenon_H10 zenon_H1de zenon_H188 zenon_H9. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H16a | zenon_intro zenon_H18b ]. % 1.17/1.40 apply (zenon_L344_); trivial. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H189 | zenon_intro zenon_Ha ]. % 1.17/1.40 exact (zenon_H188 zenon_H189). % 1.17/1.40 exact (zenon_H9 zenon_Ha). % 1.17/1.40 (* end of lemma zenon_L353_ *) % 1.17/1.40 assert (zenon_L354_ : ((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp15)) -> (~(hskp14)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> (~(hskp4)) -> False). % 1.17/1.40 do 0 intro. intros zenon_H159 zenon_H235 zenon_H9 zenon_H188 zenon_H18a zenon_H22c zenon_H22b zenon_H22a zenon_H62. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H10. zenon_intro zenon_H15b. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H152. zenon_intro zenon_H15c. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1de | zenon_intro zenon_H236 ]. % 1.17/1.40 apply (zenon_L353_); trivial. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H229 | zenon_intro zenon_H63 ]. % 1.17/1.40 apply (zenon_L337_); trivial. % 1.17/1.40 exact (zenon_H62 zenon_H63). % 1.17/1.40 (* end of lemma zenon_L354_ *) % 1.17/1.40 assert (zenon_L355_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (ndr1_0) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> (~(hskp20)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> False). % 1.17/1.40 do 0 intro. intros zenon_H15e zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H188 zenon_H9 zenon_H18a zenon_H10 zenon_H142 zenon_H143 zenon_H144 zenon_H3e zenon_H14d. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14b | zenon_intro zenon_H159 ]. % 1.17/1.40 apply (zenon_L101_); trivial. % 1.17/1.40 apply (zenon_L354_); trivial. % 1.17/1.40 (* end of lemma zenon_L355_ *) % 1.17/1.40 assert (zenon_L356_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.17/1.40 do 0 intro. intros zenon_H69 zenon_H3a zenon_H184 zenon_H122 zenon_H123 zenon_H124 zenon_H7d zenon_H7f zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H13 zenon_H32 zenon_Hb1 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H10 zenon_H18a zenon_H9 zenon_H188 zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235 zenon_H15e. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.17/1.40 apply (zenon_L355_); trivial. % 1.17/1.40 apply (zenon_L131_); trivial. % 1.17/1.40 (* end of lemma zenon_L356_ *) % 1.17/1.40 assert (zenon_L357_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp14)) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp8)\/(hskp3))) -> (~(hskp3)) -> (~(hskp8)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.17/1.40 do 0 intro. intros zenon_H3d zenon_H53 zenon_H9d zenon_H9f zenon_H69 zenon_H3a zenon_H184 zenon_H122 zenon_H123 zenon_H124 zenon_H7f zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H13 zenon_H32 zenon_Hb1 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H10 zenon_H18a zenon_H188 zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235 zenon_H15e zenon_H161 zenon_H15f zenon_H50 zenon_Ha5. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.40 apply (zenon_L356_); trivial. % 1.17/1.40 apply (zenon_L341_); trivial. % 1.17/1.40 apply (zenon_L134_); trivial. % 1.17/1.40 (* end of lemma zenon_L357_ *) % 1.17/1.40 assert (zenon_L358_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> (~(c1_1 (a224))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp12)) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.17/1.40 do 0 intro. intros zenon_H195 zenon_H3d zenon_Hb4 zenon_H11e zenon_H17f zenon_H13a zenon_H57 zenon_H44 zenon_H65 zenon_H69 zenon_H3a zenon_H7f zenon_H13 zenon_H32 zenon_Hb1 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H184 zenon_H123 zenon_H124 zenon_H122 zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H5 zenon_H186 zenon_H1b4 zenon_H1bd zenon_H15e zenon_H9f zenon_H9d zenon_H50 zenon_H53 zenon_Ha5. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14b | zenon_intro zenon_H159 ]. % 1.17/1.40 apply (zenon_L101_); trivial. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H10. zenon_intro zenon_H15b. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H152. zenon_intro zenon_H15c. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Hdc | zenon_intro zenon_H1be ]. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1de | zenon_intro zenon_H236 ]. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16a | zenon_intro zenon_H187 ]. % 1.17/1.40 apply (zenon_L344_); trivial. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H7a | zenon_intro zenon_H6 ]. % 1.17/1.40 apply (zenon_L279_); trivial. % 1.17/1.40 exact (zenon_H5 zenon_H6). % 1.17/1.40 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H229 | zenon_intro zenon_H63 ]. % 1.17/1.40 apply (zenon_L337_); trivial. % 1.17/1.40 exact (zenon_H62 zenon_H63). % 1.17/1.40 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_Hfa | zenon_intro zenon_H1b5 ]. % 1.17/1.40 apply (zenon_L135_); trivial. % 1.17/1.40 exact (zenon_H1b4 zenon_H1b5). % 1.17/1.40 apply (zenon_L131_); trivial. % 1.17/1.40 apply (zenon_L40_); trivial. % 1.17/1.40 apply (zenon_L349_); trivial. % 1.17/1.40 (* end of lemma zenon_L358_ *) % 1.17/1.40 assert (zenon_L359_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> (~(c0_1 (a229))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (c1_1 (a260)) -> (~(c2_1 (a260))) -> (~(c0_1 (a260))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.17/1.40 do 0 intro. intros zenon_H163 zenon_Hc9 zenon_Hca zenon_Hc8 zenon_H209 zenon_H1f zenon_H20 zenon_H184 zenon_H152 zenon_H151 zenon_H150 zenon_H10 zenon_H15f. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hdc | zenon_intro zenon_H164 ]. % 1.17/1.40 apply (zenon_L264_); trivial. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H14f | zenon_intro zenon_H160 ]. % 1.17/1.40 apply (zenon_L102_); trivial. % 1.17/1.40 exact (zenon_H15f zenon_H160). % 1.17/1.40 (* end of lemma zenon_L359_ *) % 1.17/1.40 assert (zenon_L360_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (c1_1 (a260)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> (~(c0_1 (a260))) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.17/1.40 do 0 intro. intros zenon_H235 zenon_H152 zenon_H16a zenon_H150 zenon_H22c zenon_H22b zenon_H22a zenon_H10 zenon_H62. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1de | zenon_intro zenon_H236 ]. % 1.17/1.40 apply (zenon_L344_); trivial. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H229 | zenon_intro zenon_H63 ]. % 1.17/1.40 apply (zenon_L337_); trivial. % 1.17/1.40 exact (zenon_H62 zenon_H63). % 1.17/1.40 (* end of lemma zenon_L360_ *) % 1.17/1.40 assert (zenon_L361_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a235))) -> (~(c1_1 (a235))) -> (~(c0_1 (a235))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp4)) -> (~(hskp13)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.17/1.40 do 0 intro. intros zenon_H39 zenon_Hb4 zenon_Hc2 zenon_H32 zenon_Hbb zenon_Hba zenon_Hb9 zenon_H57 zenon_H3a zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H13 zenon_H44 zenon_H62 zenon_H5 zenon_H65 zenon_H69. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.17/1.40 apply (zenon_L294_); trivial. % 1.17/1.40 apply (zenon_L49_); trivial. % 1.17/1.40 (* end of lemma zenon_L361_ *) % 1.17/1.40 assert (zenon_L362_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c3_1 (a235))) -> (~(c1_1 (a235))) -> (~(c0_1 (a235))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp4)) -> (~(hskp13)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (ndr1_0) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> False). % 1.17/1.40 do 0 intro. intros zenon_H3d zenon_Hb4 zenon_Hc2 zenon_Hbb zenon_Hba zenon_Hb9 zenon_H57 zenon_H3a zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H13 zenon_H44 zenon_H62 zenon_H5 zenon_H65 zenon_H69 zenon_H10 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H32 zenon_Hb1. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.40 apply (zenon_L62_); trivial. % 1.17/1.40 apply (zenon_L361_); trivial. % 1.17/1.40 (* end of lemma zenon_L362_ *) % 1.17/1.40 assert (zenon_L363_ : ((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.17/1.40 do 0 intro. intros zenon_Hc4 zenon_Hb7 zenon_H35 zenon_Hb1 zenon_H32 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H69 zenon_H65 zenon_H62 zenon_H44 zenon_H13 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8 zenon_H3a zenon_H57 zenon_Hc2 zenon_Hb4 zenon_H3d. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.17/1.40 apply (zenon_L362_); trivial. % 1.17/1.40 apply (zenon_L63_); trivial. % 1.17/1.40 (* end of lemma zenon_L363_ *) % 1.17/1.40 assert (zenon_L364_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> (ndr1_0) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp10)\/(hskp12))) -> False). % 1.17/1.40 do 0 intro. intros zenon_Hc7 zenon_Hb7 zenon_H35 zenon_Hb1 zenon_H32 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H69 zenon_H65 zenon_H62 zenon_H44 zenon_H13 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8 zenon_H3a zenon_H57 zenon_Hc2 zenon_Hb4 zenon_H3d zenon_H10 zenon_H22a zenon_H22b zenon_H22c zenon_H1 zenon_H233. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.40 apply (zenon_L338_); trivial. % 1.17/1.40 apply (zenon_L363_); trivial. % 1.17/1.40 (* end of lemma zenon_L364_ *) % 1.17/1.40 assert (zenon_L365_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.17/1.40 do 0 intro. intros zenon_Hee zenon_Hc7 zenon_Hb7 zenon_H35 zenon_H69 zenon_H65 zenon_H62 zenon_H44 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8 zenon_H57 zenon_Hc2 zenon_Hb4 zenon_Hb1 zenon_H32 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H3a zenon_Heb zenon_H7f zenon_H13 zenon_H9f zenon_Hec zenon_Ha5 zenon_H3d. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.40 apply (zenon_L74_); trivial. % 1.17/1.40 apply (zenon_L363_); trivial. % 1.17/1.40 (* end of lemma zenon_L365_ *) % 1.17/1.40 assert (zenon_L366_ : ((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp0)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.17/1.40 do 0 intro. intros zenon_Hc4 zenon_Ha5 zenon_H1a4 zenon_H1d8 zenon_H32 zenon_H35 zenon_H1dc zenon_H124 zenon_H123 zenon_H122 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H7f zenon_H6d zenon_H6c zenon_H75 zenon_H184 zenon_H3a. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.40 apply (zenon_L233_); trivial. % 1.17/1.40 apply (zenon_L229_); trivial. % 1.17/1.40 (* end of lemma zenon_L366_ *) % 1.17/1.40 assert (zenon_L367_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> (ndr1_0) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> False). % 1.17/1.40 do 0 intro. intros zenon_H3a zenon_H184 zenon_H7d zenon_H7f zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H10 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.17/1.40 apply (zenon_L225_); trivial. % 1.17/1.40 apply (zenon_L130_); trivial. % 1.17/1.40 (* end of lemma zenon_L367_ *) % 1.17/1.40 assert (zenon_L368_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (ndr1_0) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.17/1.40 do 0 intro. intros zenon_Ha5 zenon_H1d8 zenon_H32 zenon_H9d zenon_H9f zenon_H1dc zenon_H124 zenon_H123 zenon_H122 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H10 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H7f zenon_H184 zenon_H3a. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.40 apply (zenon_L367_); trivial. % 1.17/1.40 apply (zenon_L227_); trivial. % 1.17/1.40 (* end of lemma zenon_L368_ *) % 1.17/1.40 assert (zenon_L369_ : ((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.17/1.40 do 0 intro. intros zenon_Hf2 zenon_Hc7 zenon_H1a4 zenon_H35 zenon_H3a zenon_H184 zenon_H7f zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc zenon_H9f zenon_H32 zenon_H1d8 zenon_Ha5. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.40 apply (zenon_L368_); trivial. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.40 apply (zenon_L367_); trivial. % 1.17/1.40 apply (zenon_L229_); trivial. % 1.17/1.40 (* end of lemma zenon_L369_ *) % 1.17/1.40 assert (zenon_L370_ : ((ndr1_0)/\((c0_1 (a224))/\((c3_1 (a224))/\(~(c1_1 (a224)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp0)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp10)\/(hskp12))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> False). % 1.17/1.40 do 0 intro. intros zenon_H1a8 zenon_Hf5 zenon_H9f zenon_Hc7 zenon_Ha5 zenon_H1a4 zenon_H1d8 zenon_H32 zenon_H35 zenon_H1dc zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H7f zenon_H134 zenon_H3a zenon_H22a zenon_H22b zenon_H22c zenon_H233 zenon_H184 zenon_Hf1. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.40 apply (zenon_L338_); trivial. % 1.17/1.40 apply (zenon_L230_); trivial. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.40 apply (zenon_L338_); trivial. % 1.17/1.40 apply (zenon_L366_); trivial. % 1.17/1.40 apply (zenon_L369_); trivial. % 1.17/1.40 (* end of lemma zenon_L370_ *) % 1.17/1.40 assert (zenon_L371_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((hskp15)\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.17/1.40 do 0 intro. intros zenon_Hb7 zenon_H134 zenon_Hd zenon_H3 zenon_Hb zenon_H69 zenon_H65 zenon_H62 zenon_H44 zenon_H13 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8 zenon_H3a zenon_H57 zenon_H15e zenon_H13a zenon_H186 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H17f zenon_H11e zenon_H184 zenon_H22a zenon_H22b zenon_H22c zenon_H235 zenon_H142 zenon_H143 zenon_H144 zenon_H14d zenon_Hb4 zenon_H3d. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.40 apply (zenon_L7_); trivial. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.17/1.40 apply (zenon_L294_); trivial. % 1.17/1.40 apply (zenon_L348_); trivial. % 1.17/1.40 apply (zenon_L193_); trivial. % 1.17/1.40 (* end of lemma zenon_L371_ *) % 1.17/1.40 assert (zenon_L372_ : ((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (~(hskp0)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> False). % 1.17/1.40 do 0 intro. intros zenon_Hc4 zenon_H3a zenon_H1a4 zenon_H144 zenon_H143 zenon_H142 zenon_H32 zenon_H35 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.17/1.40 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.17/1.40 apply (zenon_L225_); trivial. % 1.17/1.40 apply (zenon_L143_); trivial. % 1.17/1.40 (* end of lemma zenon_L372_ *) % 1.17/1.40 assert (zenon_L373_ : ((ndr1_0)/\((c0_1 (a224))/\((c3_1 (a224))/\(~(c1_1 (a224)))))) -> ((~(hskp10))\/((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp10)\/(hskp12))) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> False). % 1.17/1.40 do 0 intro. intros zenon_H1a8 zenon_Hf5 zenon_H184 zenon_H7f zenon_H9f zenon_H1d8 zenon_Ha5 zenon_H233 zenon_H22c zenon_H22b zenon_H22a zenon_H1dc zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H35 zenon_H32 zenon_H142 zenon_H143 zenon_H144 zenon_H1a4 zenon_H3a zenon_Hc7. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.17/1.40 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.40 apply (zenon_L338_); trivial. % 1.17/1.40 apply (zenon_L372_); trivial. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.40 apply (zenon_L368_); trivial. % 1.17/1.40 apply (zenon_L372_); trivial. % 1.17/1.40 (* end of lemma zenon_L373_ *) % 1.17/1.40 assert (zenon_L374_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> (~(hskp0)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> (~(hskp7)) -> (~(hskp11)) -> ((hskp15)\/((hskp7)\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp10)\/(hskp12))) -> False). % 1.17/1.40 do 0 intro. intros zenon_Hc7 zenon_H3d zenon_Ha5 zenon_H1a4 zenon_H15a zenon_H32 zenon_H35 zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H7f zenon_Heb zenon_H3a zenon_Hb zenon_H3 zenon_Hd zenon_H10 zenon_H22a zenon_H22b zenon_H22c zenon_H1 zenon_H233. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.40 apply (zenon_L338_); trivial. % 1.17/1.40 apply (zenon_L317_); trivial. % 1.17/1.40 (* end of lemma zenon_L374_ *) % 1.17/1.40 assert (zenon_L375_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp10)\/(hskp12))) -> False). % 1.17/1.40 do 0 intro. intros zenon_Hee zenon_Hc7 zenon_H3d zenon_Ha5 zenon_H1bd zenon_H1b4 zenon_H1b8 zenon_H8b zenon_Hd1 zenon_H57 zenon_H53 zenon_H32 zenon_H50 zenon_H44 zenon_Hb1 zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H7f zenon_Heb zenon_H3a zenon_H69 zenon_Hc2 zenon_Hb4 zenon_H22a zenon_H22b zenon_H22c zenon_H1 zenon_H233. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.17/1.40 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.40 apply (zenon_L338_); trivial. % 1.17/1.40 apply (zenon_L163_); trivial. % 1.17/1.40 (* end of lemma zenon_L375_ *) % 1.17/1.40 assert (zenon_L376_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(hskp11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> (ndr1_0) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp10)\/(hskp12))) -> False). % 1.17/1.40 do 0 intro. intros zenon_Hc7 zenon_H3d zenon_H124 zenon_H123 zenon_H122 zenon_H134 zenon_Ha5 zenon_H1a4 zenon_H3 zenon_H15a zenon_H35 zenon_H57 zenon_H53 zenon_H32 zenon_H50 zenon_H44 zenon_Hb1 zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H7f zenon_Heb zenon_H3a zenon_H69 zenon_Hc2 zenon_Hb4 zenon_H10 zenon_H22a zenon_H22b zenon_H22c zenon_H1 zenon_H233. % 1.17/1.40 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.40 apply (zenon_L338_); trivial. % 1.17/1.40 apply (zenon_L328_); trivial. % 1.17/1.40 (* end of lemma zenon_L376_ *) % 1.17/1.40 assert (zenon_L377_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (ndr1_0) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp10)\/(hskp12))) -> False). % 1.17/1.42 do 0 intro. intros zenon_Hc7 zenon_H3d zenon_Ha5 zenon_H1a4 zenon_H15a zenon_H35 zenon_H13 zenon_H7f zenon_H124 zenon_H123 zenon_H122 zenon_H3 zenon_H134 zenon_H3a zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H32 zenon_Hb1 zenon_H10 zenon_H22a zenon_H22b zenon_H22c zenon_H1 zenon_H233. % 1.17/1.42 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.42 apply (zenon_L338_); trivial. % 1.17/1.42 apply (zenon_L305_); trivial. % 1.17/1.42 (* end of lemma zenon_L377_ *) % 1.17/1.42 assert (zenon_L378_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp0)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> (~(hskp7)) -> (~(hskp11)) -> ((hskp15)\/((hskp7)\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp10)\/(hskp12))) -> False). % 1.17/1.42 do 0 intro. intros zenon_Hc7 zenon_H3d zenon_Ha5 zenon_H1a4 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8 zenon_H32 zenon_H35 zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H7f zenon_Heb zenon_H3a zenon_Hb zenon_H3 zenon_Hd zenon_H10 zenon_H22a zenon_H22b zenon_H22c zenon_H1 zenon_H233. % 1.17/1.42 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.42 apply (zenon_L338_); trivial. % 1.17/1.42 apply (zenon_L334_); trivial. % 1.17/1.42 (* end of lemma zenon_L378_ *) % 1.17/1.42 assert (zenon_L379_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c3_1 (a235))) -> (~(c1_1 (a235))) -> (~(c0_1 (a235))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp4)) -> (~(hskp13)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (ndr1_0) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> False). % 1.17/1.42 do 0 intro. intros zenon_H3d zenon_Hb4 zenon_Hc2 zenon_Hbb zenon_Hba zenon_Hb9 zenon_H57 zenon_H3a zenon_H220 zenon_Hb zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H1fe zenon_H13 zenon_H44 zenon_H62 zenon_H5 zenon_H65 zenon_H69 zenon_H10 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H32 zenon_Hb1. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.42 apply (zenon_L62_); trivial. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.17/1.42 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.17/1.42 apply (zenon_L276_); trivial. % 1.17/1.42 apply (zenon_L49_); trivial. % 1.17/1.42 (* end of lemma zenon_L379_ *) % 1.17/1.42 assert (zenon_L380_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.17/1.42 do 0 intro. intros zenon_H69 zenon_H3a zenon_Heb zenon_H7d zenon_H7f zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H75 zenon_H6c zenon_H6d zenon_H13 zenon_H1fe zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H10 zenon_H18a zenon_H9 zenon_H188 zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235 zenon_H15e. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.17/1.42 apply (zenon_L355_); trivial. % 1.17/1.42 apply (zenon_L288_); trivial. % 1.17/1.42 (* end of lemma zenon_L380_ *) % 1.17/1.42 assert (zenon_L381_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> (~(hskp14)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> False). % 1.17/1.42 do 0 intro. intros zenon_Ha1 zenon_Heb zenon_H9f zenon_H9d zenon_H32 zenon_H142 zenon_H143 zenon_H144 zenon_Hec zenon_H1ec zenon_H1ed zenon_H188 zenon_H9 zenon_H18a. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.17/1.42 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.17/1.42 apply (zenon_L238_); trivial. % 1.17/1.42 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_H46 | zenon_intro zenon_Hed ]. % 1.17/1.42 apply (zenon_L39_); trivial. % 1.17/1.42 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H33 ]. % 1.17/1.42 apply (zenon_L179_); trivial. % 1.17/1.42 exact (zenon_H32 zenon_H33). % 1.17/1.42 (* end of lemma zenon_L381_ *) % 1.17/1.42 assert (zenon_L382_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (ndr1_0) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.17/1.42 do 0 intro. intros zenon_Ha5 zenon_H9f zenon_H9d zenon_H32 zenon_Hec zenon_H15e zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H188 zenon_H9 zenon_H18a zenon_H10 zenon_H142 zenon_H143 zenon_H144 zenon_H14d zenon_H1fe zenon_H13 zenon_H6d zenon_H6c zenon_H75 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H7f zenon_Heb zenon_H3a zenon_H69. % 1.17/1.42 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.42 apply (zenon_L380_); trivial. % 1.17/1.42 apply (zenon_L381_); trivial. % 1.17/1.42 (* end of lemma zenon_L382_ *) % 1.17/1.42 assert (zenon_L383_ : (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36)))))) -> (ndr1_0) -> (forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (~(c2_1 (a252))) -> (c1_1 (a252)) -> (~(c3_1 (a252))) -> False). % 1.17/1.42 do 0 intro. intros zenon_H1de zenon_H10 zenon_H141 zenon_H90 zenon_H91 zenon_H8f. % 1.17/1.42 generalize (zenon_H1de (a252)). zenon_intro zenon_H1df. % 1.17/1.42 apply (zenon_imply_s _ _ zenon_H1df); [ zenon_intro zenon_Hf | zenon_intro zenon_H1e0 ]. % 1.17/1.42 exact (zenon_Hf zenon_H10). % 1.17/1.42 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H9b | zenon_intro zenon_H1e1 ]. % 1.17/1.42 apply (zenon_L153_); trivial. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H95 | zenon_intro zenon_H96 ]. % 1.17/1.42 exact (zenon_H8f zenon_H95). % 1.17/1.42 exact (zenon_H96 zenon_H91). % 1.17/1.42 (* end of lemma zenon_L383_ *) % 1.17/1.42 assert (zenon_L384_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp21)) -> (~(hskp20)) -> (~(c2_1 (a252))) -> (c1_1 (a252)) -> (~(c3_1 (a252))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.17/1.42 do 0 intro. intros zenon_H235 zenon_H14b zenon_H3e zenon_H90 zenon_H91 zenon_H8f zenon_H14d zenon_H22c zenon_H22b zenon_H22a zenon_H10 zenon_H62. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1de | zenon_intro zenon_H236 ]. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H141 | zenon_intro zenon_H14e ]. % 1.17/1.42 apply (zenon_L383_); trivial. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H3f | zenon_intro zenon_H14c ]. % 1.17/1.42 exact (zenon_H3e zenon_H3f). % 1.17/1.42 exact (zenon_H14b zenon_H14c). % 1.17/1.42 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H229 | zenon_intro zenon_H63 ]. % 1.17/1.42 apply (zenon_L337_); trivial. % 1.17/1.42 exact (zenon_H62 zenon_H63). % 1.17/1.42 (* end of lemma zenon_L384_ *) % 1.17/1.42 assert (zenon_L385_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a260)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> (~(c0_1 (a260))) -> (c1_1 (a252)) -> (~(c2_1 (a252))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (~(c3_1 (a252))) -> (ndr1_0) -> (c0_1 (a246)) -> (c1_1 (a246)) -> (c2_1 (a246)) -> False). % 1.17/1.42 do 0 intro. intros zenon_H1e2 zenon_H152 zenon_H16a zenon_H150 zenon_H91 zenon_H90 zenon_H46 zenon_H8f zenon_H10 zenon_H10c zenon_H10d zenon_H10e. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1de | zenon_intro zenon_H1e3 ]. % 1.17/1.42 apply (zenon_L344_); trivial. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H58 | zenon_intro zenon_H10b ]. % 1.17/1.42 apply (zenon_L37_); trivial. % 1.17/1.42 apply (zenon_L87_); trivial. % 1.17/1.42 (* end of lemma zenon_L385_ *) % 1.17/1.42 assert (zenon_L386_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (c2_1 (a246)) -> (c1_1 (a246)) -> (c0_1 (a246)) -> (ndr1_0) -> (~(c3_1 (a252))) -> (~(c2_1 (a252))) -> (c1_1 (a252)) -> (~(c0_1 (a260))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> (c1_1 (a260)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp8)) -> (~(hskp0)) -> False). % 1.17/1.42 do 0 intro. intros zenon_H53 zenon_H10e zenon_H10d zenon_H10c zenon_H10 zenon_H8f zenon_H90 zenon_H91 zenon_H150 zenon_H16a zenon_H152 zenon_H1e2 zenon_H50 zenon_H32. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H46 | zenon_intro zenon_H56 ]. % 1.17/1.42 apply (zenon_L385_); trivial. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H51 | zenon_intro zenon_H33 ]. % 1.17/1.42 exact (zenon_H50 zenon_H51). % 1.17/1.42 exact (zenon_H32 zenon_H33). % 1.17/1.42 (* end of lemma zenon_L386_ *) % 1.17/1.42 assert (zenon_L387_ : ((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a252))) -> (c1_1 (a252)) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> False). % 1.17/1.42 do 0 intro. intros zenon_H64 zenon_H13a zenon_H1e2 zenon_H8f zenon_H91 zenon_H32 zenon_H9d zenon_H9f zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H10. zenon_intro zenon_H66. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5a. zenon_intro zenon_H67. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.17/1.42 apply (zenon_L136_); trivial. % 1.17/1.42 apply (zenon_L216_); trivial. % 1.17/1.42 (* end of lemma zenon_L387_ *) % 1.17/1.42 assert (zenon_L388_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.17/1.42 do 0 intro. intros zenon_Ha1 zenon_H69 zenon_H9d zenon_H9f zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H14d zenon_H13b zenon_H9 zenon_H18e zenon_H18d zenon_H18c zenon_H1bd zenon_H1b4 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H1f zenon_H20 zenon_H184 zenon_H53 zenon_H32 zenon_H50 zenon_H1e2 zenon_H21a zenon_H13a zenon_H15e. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14b | zenon_intro zenon_H159 ]. % 1.17/1.42 apply (zenon_L384_); trivial. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H10. zenon_intro zenon_H15b. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H152. zenon_intro zenon_H15c. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.17/1.42 apply (zenon_L136_); trivial. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.17/1.42 apply (zenon_L265_); trivial. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.17/1.42 apply (zenon_L386_); trivial. % 1.17/1.42 apply (zenon_L87_); trivial. % 1.17/1.42 apply (zenon_L387_); trivial. % 1.17/1.42 (* end of lemma zenon_L388_ *) % 1.17/1.42 assert (zenon_L389_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> False). % 1.17/1.42 do 0 intro. intros zenon_Hee zenon_Hc7 zenon_Hb1 zenon_Hc2 zenon_H1a7 zenon_H1b4 zenon_H1bd zenon_Ha5 zenon_H9f zenon_H32 zenon_Hec zenon_H15e zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H18a zenon_H142 zenon_H143 zenon_H144 zenon_H14d zenon_H1fe zenon_H13 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H7f zenon_Heb zenon_H3a zenon_H69 zenon_H65 zenon_H44 zenon_H50 zenon_H53 zenon_H57 zenon_H13a zenon_H186 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H17f zenon_H11e zenon_H184 zenon_Hb4 zenon_H3d zenon_H35 zenon_H13b zenon_H1e2 zenon_H21a zenon_Hb7. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.17/1.42 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.42 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.42 apply (zenon_L382_); trivial. % 1.17/1.42 apply (zenon_L349_); trivial. % 1.17/1.42 apply (zenon_L243_); trivial. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.42 apply (zenon_L382_); trivial. % 1.17/1.42 apply (zenon_L15_); trivial. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.42 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.42 apply (zenon_L242_); trivial. % 1.17/1.42 apply (zenon_L388_); trivial. % 1.17/1.42 apply (zenon_L15_); trivial. % 1.17/1.42 apply (zenon_L52_); trivial. % 1.17/1.42 (* end of lemma zenon_L389_ *) % 1.17/1.42 assert (zenon_L390_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (~(hskp0)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp7)) -> (~(hskp11)) -> ((hskp15)\/((hskp7)\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp10)\/(hskp12))) -> False). % 1.17/1.42 do 0 intro. intros zenon_Hc7 zenon_H3d zenon_H3a zenon_H1a4 zenon_H144 zenon_H143 zenon_H142 zenon_H32 zenon_H35 zenon_H13 zenon_Hb zenon_H3 zenon_Hd zenon_H10 zenon_H22a zenon_H22b zenon_H22c zenon_H1 zenon_H233. % 1.17/1.42 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.42 apply (zenon_L338_); trivial. % 1.17/1.42 apply (zenon_L178_); trivial. % 1.17/1.42 (* end of lemma zenon_L390_ *) % 1.17/1.42 assert (zenon_L391_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp10)\/(hskp12))) -> (~(hskp10)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> (ndr1_0) -> ((hskp15)\/((hskp7)\/(hskp11))) -> (~(hskp7)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> False). % 1.17/1.42 do 0 intro. intros zenon_Hf1 zenon_H1fe zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H233 zenon_H1 zenon_H22c zenon_H22b zenon_H22a zenon_H10 zenon_Hd zenon_Hb zenon_H13 zenon_H35 zenon_H32 zenon_H142 zenon_H143 zenon_H144 zenon_H1a4 zenon_H3a zenon_H3d zenon_Hc7. % 1.17/1.42 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.17/1.42 apply (zenon_L390_); trivial. % 1.17/1.42 apply (zenon_L247_); trivial. % 1.17/1.42 (* end of lemma zenon_L391_ *) % 1.17/1.42 assert (zenon_L392_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp0))) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> (~(hskp14)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (ndr1_0) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.17/1.42 do 0 intro. intros zenon_Ha5 zenon_Heb zenon_H9f zenon_H9d zenon_Hec zenon_H1ec zenon_H1ed zenon_H15e zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H188 zenon_H9 zenon_H18a zenon_H10 zenon_H142 zenon_H143 zenon_H144 zenon_H14d zenon_Hb1 zenon_H32 zenon_H13 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H7f zenon_H124 zenon_H123 zenon_H122 zenon_H184 zenon_H3a zenon_H69. % 1.17/1.42 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.42 apply (zenon_L356_); trivial. % 1.17/1.42 apply (zenon_L381_); trivial. % 1.17/1.42 (* end of lemma zenon_L392_ *) % 1.17/1.42 assert (zenon_L393_ : ((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((hskp15)\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> (~(hskp0)) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.17/1.42 do 0 intro. intros zenon_Hc4 zenon_Hb7 zenon_H134 zenon_Hd zenon_H3 zenon_Hb zenon_H69 zenon_H65 zenon_H62 zenon_H44 zenon_H13 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8 zenon_H3a zenon_H57 zenon_H32 zenon_Hc2 zenon_Hb4 zenon_H3d. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.17/1.42 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.42 apply (zenon_L7_); trivial. % 1.17/1.42 apply (zenon_L361_); trivial. % 1.17/1.42 apply (zenon_L193_); trivial. % 1.17/1.42 (* end of lemma zenon_L393_ *) % 1.17/1.42 assert (zenon_L394_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp0)) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.17/1.42 do 0 intro. intros zenon_H39 zenon_Ha5 zenon_H1d8 zenon_H32 zenon_H9d zenon_H9f zenon_H1dc zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H1fe zenon_H144 zenon_H143 zenon_H142 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H13 zenon_H7f zenon_H6c zenon_H6d zenon_H75 zenon_Heb zenon_H3a. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.17/1.42 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.42 apply (zenon_L71_); trivial. % 1.17/1.42 apply (zenon_L313_); trivial. % 1.17/1.42 (* end of lemma zenon_L394_ *) % 1.17/1.42 assert (zenon_L395_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp14)) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.17/1.42 do 0 intro. intros zenon_H3d zenon_H69 zenon_H3a zenon_Heb zenon_H7f zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H75 zenon_H6c zenon_H6d zenon_H13 zenon_H1fe zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H10 zenon_H18a zenon_H188 zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235 zenon_H15e zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1dc zenon_H9f zenon_H9d zenon_H32 zenon_H1d8 zenon_Ha5. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.42 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.42 apply (zenon_L380_); trivial. % 1.17/1.42 apply (zenon_L313_); trivial. % 1.17/1.42 apply (zenon_L394_); trivial. % 1.17/1.42 (* end of lemma zenon_L395_ *) % 1.17/1.42 assert (zenon_L396_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp18)) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> False). % 1.17/1.42 do 0 intro. intros zenon_Ha1 zenon_H69 zenon_H13a zenon_H1e2 zenon_H9d zenon_H9f zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b zenon_H44 zenon_H40 zenon_H50 zenon_H32 zenon_H53 zenon_H57. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.17/1.42 apply (zenon_L24_); trivial. % 1.17/1.42 apply (zenon_L387_); trivial. % 1.17/1.42 (* end of lemma zenon_L396_ *) % 1.17/1.42 assert (zenon_L397_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (~(hskp18)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.17/1.42 do 0 intro. intros zenon_Ha5 zenon_H13a zenon_H1e2 zenon_H9d zenon_H9f zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b zenon_H57 zenon_H53 zenon_H32 zenon_H50 zenon_H40 zenon_H44 zenon_H1fe zenon_H13 zenon_H6d zenon_H6c zenon_H75 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H7f zenon_Heb zenon_H3a zenon_H69. % 1.17/1.42 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.42 apply (zenon_L289_); trivial. % 1.17/1.42 apply (zenon_L396_); trivial. % 1.17/1.42 (* end of lemma zenon_L397_ *) % 1.17/1.42 assert (zenon_L398_ : ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (c2_1 (a246)) -> (c1_1 (a246)) -> (c0_1 (a246)) -> (c3_1 (a247)) -> (c0_1 (a247)) -> (ndr1_0) -> (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42)))))) -> (~(hskp20)) -> False). % 1.17/1.42 do 0 intro. intros zenon_H11e zenon_H10e zenon_H10d zenon_H10c zenon_H84 zenon_H83 zenon_H10 zenon_H74 zenon_H3e. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H10b | zenon_intro zenon_H121 ]. % 1.17/1.42 apply (zenon_L87_); trivial. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_He0 | zenon_intro zenon_H3f ]. % 1.17/1.42 apply (zenon_L195_); trivial. % 1.17/1.42 exact (zenon_H3e zenon_H3f). % 1.17/1.42 (* end of lemma zenon_L398_ *) % 1.17/1.42 assert (zenon_L399_ : ((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(hskp20)) -> (c0_1 (a247)) -> (c3_1 (a247)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (~(hskp27)) -> False). % 1.17/1.42 do 0 intro. intros zenon_H11d zenon_H1dc zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H3e zenon_H83 zenon_H84 zenon_H11e zenon_H11. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1dd ]. % 1.17/1.42 apply (zenon_L190_); trivial. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H74 | zenon_intro zenon_H12 ]. % 1.17/1.42 apply (zenon_L398_); trivial. % 1.17/1.42 exact (zenon_H11 zenon_H12). % 1.17/1.42 (* end of lemma zenon_L399_ *) % 1.17/1.42 assert (zenon_L400_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (~(hskp27)) -> (c0_1 (a247)) -> (c3_1 (a247)) -> (~(hskp20)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (ndr1_0) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> False). % 1.17/1.42 do 0 intro. intros zenon_H13a zenon_H1dc zenon_H11 zenon_H83 zenon_H84 zenon_H3e zenon_H11e zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H10 zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.17/1.42 apply (zenon_L136_); trivial. % 1.17/1.42 apply (zenon_L399_); trivial. % 1.17/1.42 (* end of lemma zenon_L400_ *) % 1.17/1.42 assert (zenon_L401_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c0_1 (a247)) -> (c3_1 (a247)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (ndr1_0) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.17/1.42 do 0 intro. intros zenon_H69 zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H13 zenon_H1fe zenon_H13a zenon_H1dc zenon_H83 zenon_H84 zenon_H11e zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H10 zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b zenon_H7f zenon_H7d zenon_H6c zenon_H6d zenon_H75 zenon_Heb zenon_H3a. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.17/1.42 apply (zenon_L400_); trivial. % 1.17/1.42 apply (zenon_L70_); trivial. % 1.17/1.42 apply (zenon_L288_); trivial. % 1.17/1.42 (* end of lemma zenon_L401_ *) % 1.17/1.42 assert (zenon_L402_ : (~(hskp9)) -> (hskp9) -> False). % 1.17/1.42 do 0 intro. intros zenon_H23f zenon_H240. % 1.17/1.42 exact (zenon_H23f zenon_H240). % 1.17/1.42 (* end of lemma zenon_L402_ *) % 1.17/1.42 assert (zenon_L403_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp9)) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(hskp9))) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> (~(hskp4)) -> False). % 1.17/1.42 do 0 intro. intros zenon_Ha1 zenon_H235 zenon_H23f zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H241 zenon_H22c zenon_H22b zenon_H22a zenon_H62. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1de | zenon_intro zenon_H236 ]. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1ce | zenon_intro zenon_H242 ]. % 1.17/1.42 apply (zenon_L190_); trivial. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H58 | zenon_intro zenon_H240 ]. % 1.17/1.42 apply (zenon_L213_); trivial. % 1.17/1.42 exact (zenon_H23f zenon_H240). % 1.17/1.42 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H229 | zenon_intro zenon_H63 ]. % 1.17/1.42 apply (zenon_L337_); trivial. % 1.17/1.42 exact (zenon_H62 zenon_H63). % 1.17/1.42 (* end of lemma zenon_L403_ *) % 1.17/1.42 assert (zenon_L404_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(hskp9))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> False). % 1.17/1.42 do 0 intro. intros zenon_Hee zenon_Hc7 zenon_H1a4 zenon_H35 zenon_H3d zenon_H69 zenon_H3a zenon_Heb zenon_H7f zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H13 zenon_H1fe zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H18a zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235 zenon_H15e zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1dc zenon_H9f zenon_H32 zenon_H1d8 zenon_Ha5 zenon_Hb4 zenon_H23f zenon_H241 zenon_H11e zenon_H44 zenon_H50 zenon_H53 zenon_H57 zenon_H13b zenon_H1e2 zenon_H13a zenon_H1a7. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.17/1.42 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.17/1.42 apply (zenon_L395_); trivial. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.42 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.17/1.42 apply (zenon_L397_); trivial. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.17/1.42 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.17/1.42 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.42 apply (zenon_L401_); trivial. % 1.17/1.42 apply (zenon_L403_); trivial. % 1.17/1.42 apply (zenon_L394_); trivial. % 1.17/1.42 apply (zenon_L314_); trivial. % 1.17/1.42 (* end of lemma zenon_L404_ *) % 1.17/1.42 assert (zenon_L405_ : (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42)))))) -> (ndr1_0) -> (~(c1_1 (a228))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a228))) -> (c3_1 (a228)) -> False). % 1.17/1.42 do 0 intro. intros zenon_H74 zenon_H10 zenon_H243 zenon_H209 zenon_H244 zenon_H245. % 1.17/1.42 generalize (zenon_H74 (a228)). zenon_intro zenon_H246. % 1.17/1.42 apply (zenon_imply_s _ _ zenon_H246); [ zenon_intro zenon_Hf | zenon_intro zenon_H247 ]. % 1.17/1.42 exact (zenon_Hf zenon_H10). % 1.17/1.42 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H249 | zenon_intro zenon_H248 ]. % 1.17/1.42 exact (zenon_H243 zenon_H249). % 1.17/1.42 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H24b | zenon_intro zenon_H24a ]. % 1.17/1.42 generalize (zenon_H209 (a228)). zenon_intro zenon_H24c. % 1.17/1.42 apply (zenon_imply_s _ _ zenon_H24c); [ zenon_intro zenon_Hf | zenon_intro zenon_H24d ]. % 1.17/1.42 exact (zenon_Hf zenon_H10). % 1.17/1.42 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H24f | zenon_intro zenon_H24e ]. % 1.17/1.42 exact (zenon_H24b zenon_H24f). % 1.17/1.42 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H249 | zenon_intro zenon_H250 ]. % 1.17/1.42 exact (zenon_H243 zenon_H249). % 1.17/1.42 exact (zenon_H244 zenon_H250). % 1.17/1.42 exact (zenon_H24a zenon_H245). % 1.17/1.42 (* end of lemma zenon_L405_ *) % 1.17/1.42 assert (zenon_L406_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (c3_1 (a228)) -> (~(c2_1 (a228))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a228))) -> (ndr1_0) -> (~(hskp27)) -> False). % 1.17/1.42 do 0 intro. intros zenon_H1dc zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H245 zenon_H244 zenon_H209 zenon_H243 zenon_H10 zenon_H11. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1dd ]. % 1.17/1.42 apply (zenon_L190_); trivial. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H74 | zenon_intro zenon_H12 ]. % 1.17/1.42 apply (zenon_L405_); trivial. % 1.17/1.42 exact (zenon_H11 zenon_H12). % 1.17/1.42 (* end of lemma zenon_L406_ *) % 1.17/1.42 assert (zenon_L407_ : ((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a228))) -> (~(c2_1 (a228))) -> (c3_1 (a228)) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp27)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> False). % 1.17/1.42 do 0 intro. intros zenon_H11d zenon_H21a zenon_H243 zenon_H244 zenon_H245 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1dc zenon_H1ec zenon_H1ed zenon_H13 zenon_H11 zenon_Heb. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.17/1.42 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.17/1.42 apply (zenon_L406_); trivial. % 1.17/1.42 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.17/1.42 apply (zenon_L266_); trivial. % 1.17/1.42 apply (zenon_L87_); trivial. % 1.17/1.42 (* end of lemma zenon_L407_ *) % 1.17/1.42 assert (zenon_L408_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a228))) -> (~(c2_1 (a228))) -> (c3_1 (a228)) -> (~(hskp27)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> False). % 1.17/1.42 do 0 intro. intros zenon_H13a zenon_H21a zenon_H1ec zenon_H1ed zenon_H13 zenon_Heb zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H243 zenon_H244 zenon_H245 zenon_H11 zenon_H1dc zenon_H10 zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.17/1.43 apply (zenon_L136_); trivial. % 1.17/1.43 apply (zenon_L407_); trivial. % 1.17/1.43 (* end of lemma zenon_L408_ *) % 1.17/1.43 assert (zenon_L409_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> (~(c1_1 (a230))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> (ndr1_0) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a228)) -> (~(c2_1 (a228))) -> (~(c1_1 (a228))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (c3_1 (a216)) -> (~(c0_1 (a216))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> False). % 1.17/1.43 do 0 intro. intros zenon_H3a zenon_H75 zenon_H6d zenon_H6c zenon_H7d zenon_H7f zenon_H13b zenon_H9 zenon_H18e zenon_H18d zenon_H18c zenon_H10 zenon_H1dc zenon_H245 zenon_H244 zenon_H243 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_Heb zenon_H13 zenon_H1ed zenon_H1ec zenon_H21a zenon_H13a. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.17/1.43 apply (zenon_L408_); trivial. % 1.17/1.43 apply (zenon_L70_); trivial. % 1.17/1.43 (* end of lemma zenon_L409_ *) % 1.17/1.43 assert (zenon_L410_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> (~(c1_1 (a230))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a228)) -> (~(c2_1 (a228))) -> (~(c1_1 (a228))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (c3_1 (a216)) -> (~(c0_1 (a216))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> (~(c2_1 (a216))) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp12)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.17/1.43 do 0 intro. intros zenon_H195 zenon_H3d zenon_H3a zenon_H75 zenon_H6d zenon_H6c zenon_H7f zenon_H13b zenon_H1dc zenon_H245 zenon_H244 zenon_H243 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_Heb zenon_H13 zenon_H1ed zenon_H1ec zenon_H21a zenon_H13a zenon_H1f9 zenon_H142 zenon_H143 zenon_H144 zenon_H1fe zenon_H9f zenon_H9d zenon_H32 zenon_H1d8 zenon_Ha5. % 1.17/1.43 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.17/1.43 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.17/1.43 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.43 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.43 apply (zenon_L409_); trivial. % 1.17/1.43 apply (zenon_L313_); trivial. % 1.17/1.43 apply (zenon_L394_); trivial. % 1.17/1.43 (* end of lemma zenon_L410_ *) % 1.17/1.43 assert (zenon_L411_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp0)\/(hskp12))) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a228))) -> (~(c2_1 (a228))) -> (c3_1 (a228)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> False). % 1.17/1.43 do 0 intro. intros zenon_Hee zenon_Hc7 zenon_H1a4 zenon_H35 zenon_H3d zenon_H69 zenon_H3a zenon_Heb zenon_H7f zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H13 zenon_H1fe zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H18a zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235 zenon_H15e zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1dc zenon_H9f zenon_H32 zenon_H1d8 zenon_Ha5 zenon_H13a zenon_H21a zenon_H243 zenon_H244 zenon_H245 zenon_H13b zenon_H1a7. % 1.17/1.43 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.17/1.43 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.17/1.43 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.17/1.43 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.17/1.43 apply (zenon_L395_); trivial. % 1.17/1.43 apply (zenon_L410_); trivial. % 1.17/1.43 apply (zenon_L314_); trivial. % 1.17/1.43 (* end of lemma zenon_L411_ *) % 1.17/1.43 assert (zenon_L412_ : ((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (~(hskp7)) -> ((hskp15)\/((hskp7)\/(hskp11))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/((hskp15)\/(hskp0))) -> (~(hskp0)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> False). % 1.17/1.43 do 0 intro. intros zenon_Hf2 zenon_Hf1 zenon_H3d zenon_Hb4 zenon_H1fe zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H17f zenon_H144 zenon_H143 zenon_H142 zenon_H11e zenon_H184 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H13a zenon_H57 zenon_H3a zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H13 zenon_H44 zenon_H62 zenon_H65 zenon_H69 zenon_Hb zenon_Hd zenon_Hb1 zenon_H32 zenon_H35 zenon_Hb7. % 1.17/1.43 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.17/1.43 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.17/1.43 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.17/1.43 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.17/1.43 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.43 apply (zenon_L7_); trivial. % 1.17/1.43 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.17/1.43 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.17/1.43 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.17/1.43 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.17/1.43 apply (zenon_L294_); trivial. % 1.17/1.43 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.17/1.43 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.17/1.43 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.17/1.43 apply (zenon_L10_); trivial. % 1.17/1.43 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.17/1.43 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.17/1.43 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1ff ]. % 1.17/1.43 apply (zenon_L246_); trivial. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H7a | zenon_intro zenon_Ha8 ]. % 1.17/1.43 apply (zenon_L121_); trivial. % 1.17/1.43 apply (zenon_L61_); trivial. % 1.17/1.43 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.17/1.43 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.17/1.43 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1ff ]. % 1.17/1.43 apply (zenon_L246_); trivial. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H7a | zenon_intro zenon_Ha8 ]. % 1.17/1.43 apply (zenon_L123_); trivial. % 1.17/1.43 apply (zenon_L61_); trivial. % 1.17/1.43 apply (zenon_L27_); trivial. % 1.17/1.43 apply (zenon_L63_); trivial. % 1.17/1.43 apply (zenon_L247_); trivial. % 1.17/1.43 (* end of lemma zenon_L412_ *) % 1.17/1.43 assert (zenon_L413_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a235)))/\((~(c1_1 (a235)))/\(~(c3_1 (a235))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((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))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp8)\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp6)\/(hskp18))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/((hskp10)\/(hskp12))) -> False). % 1.17/1.43 do 0 intro. intros zenon_Hee zenon_Hc7 zenon_Hb4 zenon_Hc2 zenon_H69 zenon_H3a zenon_Heb zenon_H7f zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H13 zenon_H1fe zenon_H44 zenon_H50 zenon_H32 zenon_H53 zenon_H57 zenon_H1ab zenon_H1ac zenon_H1ad zenon_Hd1 zenon_H8b zenon_H1b8 zenon_H1b4 zenon_H1bd zenon_Ha5 zenon_H22a zenon_H22b zenon_H22c zenon_H1 zenon_H233. % 1.17/1.43 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.17/1.43 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.17/1.43 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.17/1.43 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.17/1.43 apply (zenon_L338_); trivial. % 1.17/1.43 apply (zenon_L320_); trivial. % 1.17/1.43 (* end of lemma zenon_L413_ *) % 1.17/1.43 assert (zenon_L414_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22)))))))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> False). % 1.17/1.43 do 0 intro. intros zenon_Hee zenon_Heb zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H142 zenon_H143 zenon_H144 zenon_H1fe zenon_H1ad zenon_H1ac zenon_H1ab. % 1.17/1.43 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.17/1.43 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.17/1.43 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.17/1.43 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.17/1.43 apply (zenon_L148_); trivial. % 1.17/1.43 apply (zenon_L310_); trivial. % 1.17/1.43 (* end of lemma zenon_L414_ *) % 1.17/1.43 assert (zenon_L415_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> False). % 1.17/1.43 do 0 intro. intros zenon_H251 zenon_H10 zenon_H252 zenon_H253 zenon_H254. % 1.17/1.43 generalize (zenon_H251 (a213)). zenon_intro zenon_H255. % 1.17/1.43 apply (zenon_imply_s _ _ zenon_H255); [ zenon_intro zenon_Hf | zenon_intro zenon_H256 ]. % 1.17/1.43 exact (zenon_Hf zenon_H10). % 1.17/1.43 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H258 | zenon_intro zenon_H257 ]. % 1.17/1.43 exact (zenon_H252 zenon_H258). % 1.17/1.43 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H25a | zenon_intro zenon_H259 ]. % 1.17/1.43 exact (zenon_H25a zenon_H253). % 1.17/1.43 exact (zenon_H259 zenon_H254). % 1.17/1.43 (* end of lemma zenon_L415_ *) % 1.17/1.43 assert (zenon_L416_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp20)\/(hskp13))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp13)) -> False). % 1.17/1.43 do 0 intro. intros zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H3e zenon_H5. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H251 | zenon_intro zenon_H25c ]. % 1.17/1.43 apply (zenon_L415_); trivial. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H3f | zenon_intro zenon_H6 ]. % 1.17/1.43 exact (zenon_H3e zenon_H3f). % 1.17/1.43 exact (zenon_H5 zenon_H6). % 1.17/1.43 (* end of lemma zenon_L416_ *) % 1.17/1.43 assert (zenon_L417_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> (ndr1_0) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp20)\/(hskp13))) -> False). % 1.17/1.43 do 0 intro. intros zenon_H69 zenon_H65 zenon_H62 zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_H5 zenon_H25b. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.17/1.43 apply (zenon_L416_); trivial. % 1.17/1.43 apply (zenon_L27_); trivial. % 1.17/1.43 (* end of lemma zenon_L417_ *) % 1.17/1.43 assert (zenon_L418_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (ndr1_0) -> (~(c3_1 (a238))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> False). % 1.17/1.43 do 0 intro. intros zenon_H3a zenon_H20f zenon_H20d zenon_H21 zenon_H20 zenon_H1f zenon_H10 zenon_H16 zenon_H15 zenon_H14 zenon_H13. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.17/1.43 apply (zenon_L10_); trivial. % 1.17/1.43 apply (zenon_L268_); trivial. % 1.17/1.43 (* end of lemma zenon_L418_ *) % 1.17/1.43 assert (zenon_L419_ : (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> False). % 1.17/1.43 do 0 intro. intros zenon_He0 zenon_H10 zenon_H16a zenon_H253 zenon_H254. % 1.17/1.43 generalize (zenon_He0 (a213)). zenon_intro zenon_H25d. % 1.17/1.43 apply (zenon_imply_s _ _ zenon_H25d); [ zenon_intro zenon_Hf | zenon_intro zenon_H25e ]. % 1.17/1.43 exact (zenon_Hf zenon_H10). % 1.17/1.43 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H25f | zenon_intro zenon_H257 ]. % 1.17/1.43 generalize (zenon_H16a (a213)). zenon_intro zenon_H260. % 1.17/1.43 apply (zenon_imply_s _ _ zenon_H260); [ zenon_intro zenon_Hf | zenon_intro zenon_H261 ]. % 1.17/1.43 exact (zenon_Hf zenon_H10). % 1.17/1.43 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H262 | zenon_intro zenon_H257 ]. % 1.17/1.43 exact (zenon_H25f zenon_H262). % 1.17/1.43 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H25a | zenon_intro zenon_H259 ]. % 1.17/1.43 exact (zenon_H25a zenon_H253). % 1.17/1.43 exact (zenon_H259 zenon_H254). % 1.17/1.43 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H25a | zenon_intro zenon_H259 ]. % 1.17/1.43 exact (zenon_H25a zenon_H253). % 1.17/1.43 exact (zenon_H259 zenon_H254). % 1.17/1.43 (* end of lemma zenon_L419_ *) % 1.17/1.43 assert (zenon_L420_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(c3_1 (a278))) -> (~(c2_1 (a278))) -> (~(c0_1 (a278))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(hskp7)) -> False). % 1.17/1.43 do 0 intro. intros zenon_H220 zenon_H49 zenon_H48 zenon_H47 zenon_H254 zenon_H253 zenon_H16a zenon_H10 zenon_Hb. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H46 | zenon_intro zenon_H221 ]. % 1.17/1.43 apply (zenon_L21_); trivial. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_He0 | zenon_intro zenon_Hc ]. % 1.17/1.43 apply (zenon_L419_); trivial. % 1.17/1.43 exact (zenon_Hb zenon_Hc). % 1.17/1.43 (* end of lemma zenon_L420_ *) % 1.17/1.43 assert (zenon_L421_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.17/1.43 do 0 intro. intros zenon_H263 zenon_H16 zenon_H14 zenon_H15 zenon_H10b zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H40. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H16e | zenon_intro zenon_H264 ]. % 1.17/1.43 apply (zenon_L115_); trivial. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H251 | zenon_intro zenon_H41 ]. % 1.17/1.43 apply (zenon_L415_); trivial. % 1.17/1.43 exact (zenon_H40 zenon_H41). % 1.17/1.43 (* end of lemma zenon_L421_ *) % 1.17/1.43 assert (zenon_L422_ : ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (c1_1 (a259)) -> (c0_1 (a259)) -> (~(c3_1 (a259))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.17/1.43 do 0 intro. intros zenon_H265 zenon_H5b zenon_H5a zenon_H59 zenon_H254 zenon_H253 zenon_H16a zenon_H10 zenon_H15f. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H58 | zenon_intro zenon_H266 ]. % 1.17/1.43 apply (zenon_L25_); trivial. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_He0 | zenon_intro zenon_H160 ]. % 1.17/1.43 apply (zenon_L419_); trivial. % 1.17/1.43 exact (zenon_H15f zenon_H160). % 1.17/1.43 (* end of lemma zenon_L422_ *) % 1.17/1.43 assert (zenon_L423_ : ((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a243))) -> (~(c1_1 (a243))) -> (~(c0_1 (a243))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(hskp18)) -> False). % 1.17/1.43 do 0 intro. intros zenon_H64 zenon_H21a zenon_H213 zenon_H212 zenon_H211 zenon_H15f zenon_H265 zenon_H263 zenon_H16 zenon_H14 zenon_H15 zenon_H254 zenon_H253 zenon_H252 zenon_H40. % 1.17/1.43 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H10. zenon_intro zenon_H66. % 1.17/1.43 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5a. zenon_intro zenon_H67. % 1.17/1.43 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.17/1.43 apply (zenon_L269_); trivial. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.17/1.43 apply (zenon_L422_); trivial. % 1.17/1.43 apply (zenon_L421_); trivial. % 1.17/1.43 (* end of lemma zenon_L423_ *) % 1.17/1.43 assert (zenon_L424_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp18)) -> (~(c0_1 (a243))) -> (~(c1_1 (a243))) -> (~(c2_1 (a243))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> (~(c2_1 (a213))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> False). % 1.17/1.43 do 0 intro. intros zenon_H69 zenon_H15f zenon_H265 zenon_H44 zenon_H40 zenon_H211 zenon_H212 zenon_H213 zenon_H220 zenon_Hb zenon_H254 zenon_H253 zenon_H263 zenon_H252 zenon_H16 zenon_H14 zenon_H15 zenon_H21a zenon_H57. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.17/1.43 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H42 | zenon_intro zenon_H52 ]. % 1.17/1.43 apply (zenon_L20_); trivial. % 1.17/1.43 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H10. zenon_intro zenon_H54. % 1.17/1.43 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H55. % 1.17/1.43 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H49. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.17/1.44 apply (zenon_L269_); trivial. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.17/1.44 apply (zenon_L420_); trivial. % 1.17/1.44 apply (zenon_L421_); trivial. % 1.17/1.44 apply (zenon_L423_); trivial. % 1.17/1.44 (* end of lemma zenon_L424_ *) % 1.17/1.44 assert (zenon_L425_ : (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (c0_1 (a247)) -> (forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64)))))) -> (~(c2_1 (a247))) -> (c3_1 (a247)) -> False). % 1.17/1.44 do 0 intro. intros zenon_He0 zenon_H10 zenon_H83 zenon_H267 zenon_H82 zenon_H84. % 1.17/1.44 generalize (zenon_He0 (a247)). zenon_intro zenon_H178. % 1.17/1.44 apply (zenon_imply_s _ _ zenon_H178); [ zenon_intro zenon_Hf | zenon_intro zenon_H179 ]. % 1.17/1.44 exact (zenon_Hf zenon_H10). % 1.17/1.44 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H8a | zenon_intro zenon_H17a ]. % 1.17/1.44 exact (zenon_H8a zenon_H83). % 1.17/1.44 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H17b | zenon_intro zenon_H89 ]. % 1.17/1.44 generalize (zenon_H267 (a247)). zenon_intro zenon_H268. % 1.17/1.44 apply (zenon_imply_s _ _ zenon_H268); [ zenon_intro zenon_Hf | zenon_intro zenon_H269 ]. % 1.17/1.44 exact (zenon_Hf zenon_H10). % 1.17/1.44 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H177 | zenon_intro zenon_H26a ]. % 1.17/1.44 exact (zenon_H17b zenon_H177). % 1.17/1.44 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H88 | zenon_intro zenon_H89 ]. % 1.17/1.44 exact (zenon_H82 zenon_H88). % 1.17/1.44 exact (zenon_H89 zenon_H84). % 1.17/1.44 exact (zenon_H89 zenon_H84). % 1.17/1.44 (* end of lemma zenon_L425_ *) % 1.17/1.44 assert (zenon_L426_ : (~(hskp26)) -> (hskp26) -> False). % 1.17/1.44 do 0 intro. intros zenon_H26b zenon_H26c. % 1.17/1.44 exact (zenon_H26b zenon_H26c). % 1.17/1.44 (* end of lemma zenon_L426_ *) % 1.17/1.44 assert (zenon_L427_ : ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (c3_1 (a247)) -> (~(c2_1 (a247))) -> (c0_1 (a247)) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (ndr1_0) -> (~(hskp26)) -> False). % 1.17/1.44 do 0 intro. intros zenon_H26d zenon_H84 zenon_H82 zenon_H83 zenon_He0 zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H26b. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H267 | zenon_intro zenon_H26e ]. % 1.17/1.44 apply (zenon_L425_); trivial. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H251 | zenon_intro zenon_H26c ]. % 1.17/1.44 apply (zenon_L415_); trivial. % 1.17/1.44 exact (zenon_H26b zenon_H26c). % 1.17/1.44 (* end of lemma zenon_L427_ *) % 1.17/1.44 assert (zenon_L428_ : (forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))) -> (ndr1_0) -> (c1_1 (a223)) -> (c2_1 (a223)) -> (c3_1 (a223)) -> False). % 1.17/1.44 do 0 intro. intros zenon_H181 zenon_H10 zenon_H26f zenon_H270 zenon_H271. % 1.17/1.44 generalize (zenon_H181 (a223)). zenon_intro zenon_H272. % 1.17/1.44 apply (zenon_imply_s _ _ zenon_H272); [ zenon_intro zenon_Hf | zenon_intro zenon_H273 ]. % 1.17/1.44 exact (zenon_Hf zenon_H10). % 1.17/1.44 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H275 | zenon_intro zenon_H274 ]. % 1.17/1.44 exact (zenon_H275 zenon_H26f). % 1.17/1.44 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H277 | zenon_intro zenon_H276 ]. % 1.17/1.44 exact (zenon_H277 zenon_H270). % 1.17/1.44 exact (zenon_H276 zenon_H271). % 1.17/1.44 (* end of lemma zenon_L428_ *) % 1.17/1.44 assert (zenon_L429_ : ((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp5)) -> (~(hskp3)) -> False). % 1.17/1.44 do 0 intro. intros zenon_H278 zenon_H279 zenon_H1b4 zenon_H15f. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H27a. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H26f. zenon_intro zenon_H27b. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H270. zenon_intro zenon_H271. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H181 | zenon_intro zenon_H27c ]. % 1.17/1.44 apply (zenon_L428_); trivial. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H160 ]. % 1.17/1.44 exact (zenon_H1b4 zenon_H1b5). % 1.17/1.44 exact (zenon_H15f zenon_H160). % 1.17/1.44 (* end of lemma zenon_L429_ *) % 1.17/1.44 assert (zenon_L430_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp5)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> (~(c2_1 (a213))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.17/1.44 do 0 intro. intros zenon_H21c zenon_Hb4 zenon_H27d zenon_H279 zenon_H1b4 zenon_H13 zenon_H134 zenon_H3 zenon_H21 zenon_H20 zenon_H1f zenon_H26d zenon_H3a zenon_H57 zenon_H21a zenon_H15 zenon_H14 zenon_H16 zenon_H252 zenon_H263 zenon_H253 zenon_H254 zenon_Hb zenon_H220 zenon_H44 zenon_H265 zenon_H15f zenon_H69. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.17/1.44 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.17/1.44 apply (zenon_L424_); trivial. % 1.17/1.44 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.17/1.44 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.17/1.44 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H26b | zenon_intro zenon_H278 ]. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.17/1.44 apply (zenon_L10_); trivial. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H46 | zenon_intro zenon_H221 ]. % 1.17/1.44 apply (zenon_L189_); trivial. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_He0 | zenon_intro zenon_Hc ]. % 1.17/1.44 apply (zenon_L427_); trivial. % 1.17/1.44 exact (zenon_Hb zenon_Hc). % 1.17/1.44 apply (zenon_L429_); trivial. % 1.17/1.44 (* end of lemma zenon_L430_ *) % 1.17/1.44 assert (zenon_L431_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp5)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> (~(hskp7)) -> (~(hskp11)) -> ((hskp15)\/((hskp7)\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp20)\/(hskp13))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (ndr1_0) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.17/1.44 do 0 intro. intros zenon_Hb7 zenon_H3d zenon_H21f zenon_Hb4 zenon_H27d zenon_H279 zenon_H1b4 zenon_H134 zenon_H26d zenon_H57 zenon_H21a zenon_H263 zenon_H220 zenon_H44 zenon_H265 zenon_H15f zenon_H13 zenon_H20f zenon_H3a zenon_Hb zenon_H3 zenon_Hd zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H62 zenon_H65 zenon_H69. % 1.17/1.44 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.17/1.44 apply (zenon_L417_); trivial. % 1.17/1.44 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.17/1.44 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.17/1.44 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.44 apply (zenon_L7_); trivial. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.17/1.44 apply (zenon_L418_); trivial. % 1.17/1.44 apply (zenon_L430_); trivial. % 1.17/1.44 (* end of lemma zenon_L431_ *) % 1.17/1.44 assert (zenon_L432_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (ndr1_0) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (~(hskp14)) -> (~(hskp15)) -> False). % 1.17/1.44 do 0 intro. intros zenon_H18a zenon_H254 zenon_H253 zenon_H10 zenon_He0 zenon_H188 zenon_H9. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H16a | zenon_intro zenon_H18b ]. % 1.17/1.44 apply (zenon_L419_); trivial. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H189 | zenon_intro zenon_Ha ]. % 1.17/1.44 exact (zenon_H188 zenon_H189). % 1.17/1.44 exact (zenon_H9 zenon_Ha). % 1.17/1.44 (* end of lemma zenon_L432_ *) % 1.17/1.44 assert (zenon_L433_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp14)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (ndr1_0) -> (~(c1_1 (a230))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> False). % 1.17/1.44 do 0 intro. intros zenon_Heb zenon_H253 zenon_H254 zenon_H188 zenon_H9 zenon_H18a zenon_H10 zenon_H75 zenon_H6d zenon_H6c zenon_H7d zenon_H7f. % 1.17/1.44 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.17/1.44 apply (zenon_L66_); trivial. % 1.17/1.44 apply (zenon_L432_); trivial. % 1.17/1.44 (* end of lemma zenon_L433_ *) % 1.17/1.44 assert (zenon_L434_ : ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a252)) -> (~(c2_1 (a252))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8)))))) -> (~(hskp20)) -> (~(hskp21)) -> False). % 1.17/1.44 do 0 intro. intros zenon_H14d zenon_H91 zenon_H90 zenon_H10 zenon_H14f zenon_H3e zenon_H14b. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H141 | zenon_intro zenon_H14e ]. % 1.17/1.44 apply (zenon_L300_); trivial. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H3f | zenon_intro zenon_H14c ]. % 1.17/1.44 exact (zenon_H3e zenon_H3f). % 1.17/1.44 exact (zenon_H14b zenon_H14c). % 1.17/1.44 (* end of lemma zenon_L434_ *) % 1.17/1.44 assert (zenon_L435_ : ((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> (~(hskp1)) -> (~(hskp9)) -> False). % 1.17/1.44 do 0 intro. intros zenon_H159 zenon_H27e zenon_H205 zenon_H23f. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H10. zenon_intro zenon_H15b. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H152. zenon_intro zenon_H15c. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H14f | zenon_intro zenon_H27f ]. % 1.17/1.44 apply (zenon_L102_); trivial. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H206 | zenon_intro zenon_H240 ]. % 1.17/1.44 exact (zenon_H205 zenon_H206). % 1.17/1.44 exact (zenon_H23f zenon_H240). % 1.17/1.44 (* end of lemma zenon_L435_ *) % 1.17/1.44 assert (zenon_L436_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (~(hskp20)) -> (c1_1 (a252)) -> (~(c2_1 (a252))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> False). % 1.17/1.44 do 0 intro. intros zenon_H15e zenon_H14d zenon_H3e zenon_H91 zenon_H90 zenon_H10 zenon_H205 zenon_H23f zenon_H27e. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14b | zenon_intro zenon_H159 ]. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H14f | zenon_intro zenon_H27f ]. % 1.17/1.44 apply (zenon_L434_); trivial. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H206 | zenon_intro zenon_H240 ]. % 1.17/1.44 exact (zenon_H205 zenon_H206). % 1.17/1.44 exact (zenon_H23f zenon_H240). % 1.17/1.44 apply (zenon_L435_); trivial. % 1.17/1.44 (* end of lemma zenon_L436_ *) % 1.17/1.44 assert (zenon_L437_ : ((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp3)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp14)) -> (~(hskp15)) -> False). % 1.17/1.44 do 0 intro. intros zenon_H64 zenon_H18a zenon_H15f zenon_H253 zenon_H254 zenon_H265 zenon_H188 zenon_H9. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H10. zenon_intro zenon_H66. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5a. zenon_intro zenon_H67. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H16a | zenon_intro zenon_H18b ]. % 1.17/1.44 apply (zenon_L422_); trivial. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H189 | zenon_intro zenon_Ha ]. % 1.17/1.44 exact (zenon_H188 zenon_H189). % 1.17/1.44 exact (zenon_H9 zenon_Ha). % 1.17/1.44 (* end of lemma zenon_L437_ *) % 1.17/1.44 assert (zenon_L438_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.17/1.44 do 0 intro. intros zenon_Ha1 zenon_H69 zenon_H18a zenon_H9 zenon_H188 zenon_H253 zenon_H254 zenon_H15f zenon_H265 zenon_H27e zenon_H23f zenon_H205 zenon_H14d zenon_H15e. % 1.17/1.44 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.17/1.44 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.17/1.44 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.17/1.44 apply (zenon_L436_); trivial. % 1.17/1.44 apply (zenon_L437_); trivial. % 1.17/1.44 (* end of lemma zenon_L438_ *) % 1.17/1.44 assert (zenon_L439_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> False). % 1.17/1.44 do 0 intro. intros zenon_Ha5 zenon_H69 zenon_H15f zenon_H265 zenon_H27e zenon_H23f zenon_H205 zenon_H14d zenon_H15e zenon_H7f zenon_H6c zenon_H6d zenon_H75 zenon_H10 zenon_H18a zenon_H9 zenon_H188 zenon_H254 zenon_H253 zenon_Heb. % 1.17/1.44 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.44 apply (zenon_L433_); trivial. % 1.17/1.44 apply (zenon_L438_); trivial. % 1.17/1.44 (* end of lemma zenon_L439_ *) % 1.17/1.44 assert (zenon_L440_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c1_1 (a230))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> False). % 1.17/1.44 do 0 intro. intros zenon_Heb zenon_H254 zenon_H253 zenon_H16a zenon_H10 zenon_H75 zenon_H6d zenon_H6c zenon_H7d zenon_H7f. % 1.17/1.44 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.17/1.44 apply (zenon_L66_); trivial. % 1.17/1.44 apply (zenon_L419_); trivial. % 1.17/1.44 (* end of lemma zenon_L440_ *) % 1.17/1.44 assert (zenon_L441_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a243))) -> (~(c1_1 (a243))) -> (~(c0_1 (a243))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.17/1.44 do 0 intro. intros zenon_H21a zenon_H213 zenon_H212 zenon_H211 zenon_H7f zenon_H7d zenon_H6c zenon_H6d zenon_H75 zenon_Heb zenon_H263 zenon_H16 zenon_H14 zenon_H15 zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H40. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.17/1.44 apply (zenon_L269_); trivial. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.17/1.44 apply (zenon_L440_); trivial. % 1.17/1.44 apply (zenon_L421_); trivial. % 1.17/1.44 (* end of lemma zenon_L441_ *) % 1.17/1.44 assert (zenon_L442_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> (~(c2_1 (a213))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(c2_1 (a243))) -> (~(c1_1 (a243))) -> (~(c0_1 (a243))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.17/1.44 do 0 intro. intros zenon_Ha1 zenon_H69 zenon_H21a zenon_H15 zenon_H14 zenon_H16 zenon_H252 zenon_H40 zenon_H263 zenon_H253 zenon_H254 zenon_H15f zenon_H265 zenon_H213 zenon_H212 zenon_H211 zenon_H27e zenon_H23f zenon_H205 zenon_H14d zenon_H15e. % 1.17/1.44 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.17/1.44 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.17/1.44 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.17/1.44 apply (zenon_L436_); trivial. % 1.17/1.44 apply (zenon_L423_); trivial. % 1.17/1.44 (* end of lemma zenon_L442_ *) % 1.17/1.44 assert (zenon_L443_ : ((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a247)) -> (~(c2_1 (a247))) -> (c0_1 (a247)) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> False). % 1.17/1.44 do 0 intro. intros zenon_H64 zenon_H27d zenon_H279 zenon_H1b4 zenon_H265 zenon_H15f zenon_H84 zenon_H82 zenon_H83 zenon_H252 zenon_H253 zenon_H254 zenon_H26d. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H10. zenon_intro zenon_H66. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5a. zenon_intro zenon_H67. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H26b | zenon_intro zenon_H278 ]. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H267 | zenon_intro zenon_H26e ]. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H58 | zenon_intro zenon_H266 ]. % 1.17/1.44 apply (zenon_L25_); trivial. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_He0 | zenon_intro zenon_H160 ]. % 1.17/1.44 apply (zenon_L425_); trivial. % 1.17/1.44 exact (zenon_H15f zenon_H160). % 1.17/1.44 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H251 | zenon_intro zenon_H26c ]. % 1.17/1.44 apply (zenon_L415_); trivial. % 1.17/1.44 exact (zenon_H26b zenon_H26c). % 1.17/1.44 apply (zenon_L429_); trivial. % 1.17/1.44 (* end of lemma zenon_L443_ *) % 1.17/1.44 assert (zenon_L444_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a247)) -> (~(c2_1 (a247))) -> (c0_1 (a247)) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.17/1.44 do 0 intro. intros zenon_Ha1 zenon_H69 zenon_H27d zenon_H279 zenon_H1b4 zenon_H265 zenon_H15f zenon_H84 zenon_H82 zenon_H83 zenon_H252 zenon_H253 zenon_H254 zenon_H26d zenon_H27e zenon_H23f zenon_H205 zenon_H14d zenon_H15e. % 1.17/1.44 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.17/1.44 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.17/1.44 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.17/1.44 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.17/1.44 apply (zenon_L436_); trivial. % 1.17/1.44 apply (zenon_L443_); trivial. % 1.17/1.44 (* end of lemma zenon_L444_ *) % 1.17/1.44 assert (zenon_L445_ : ((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> False). % 1.17/1.44 do 0 intro. intros zenon_Ha4 zenon_Ha5 zenon_H69 zenon_H27d zenon_H279 zenon_H1b4 zenon_H265 zenon_H15f zenon_H252 zenon_H253 zenon_H254 zenon_H26d zenon_H27e zenon_H23f zenon_H205 zenon_H14d zenon_H15e zenon_H7f zenon_H6d zenon_H6c zenon_H75 zenon_H8b zenon_H8d. % 1.17/1.44 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.17/1.44 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.17/1.44 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.17/1.44 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.44 apply (zenon_L36_); trivial. % 1.17/1.44 apply (zenon_L444_); trivial. % 1.17/1.44 (* end of lemma zenon_L445_ *) % 1.17/1.44 assert (zenon_L446_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> (~(c2_1 (a213))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.17/1.44 do 0 intro. intros zenon_H21c zenon_Hb4 zenon_H27d zenon_H279 zenon_H1b4 zenon_H26d zenon_H8b zenon_H8d zenon_H21a zenon_H15 zenon_H14 zenon_H16 zenon_H252 zenon_H263 zenon_H7f zenon_H6c zenon_H6d zenon_H75 zenon_H253 zenon_H254 zenon_Heb zenon_H15e zenon_H14d zenon_H205 zenon_H23f zenon_H27e zenon_H265 zenon_H15f zenon_H69 zenon_Ha5. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.17/1.44 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.17/1.44 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.17/1.44 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.44 apply (zenon_L441_); trivial. % 1.17/1.44 apply (zenon_L442_); trivial. % 1.17/1.44 apply (zenon_L445_); trivial. % 1.17/1.44 (* end of lemma zenon_L446_ *) % 1.17/1.44 assert (zenon_L447_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a213))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H39 zenon_H21f zenon_Hb4 zenon_H27d zenon_H279 zenon_H1b4 zenon_H26d zenon_H8b zenon_H8d zenon_H21a zenon_H252 zenon_H263 zenon_H7f zenon_H6c zenon_H6d zenon_H75 zenon_H253 zenon_H254 zenon_Heb zenon_H15e zenon_H14d zenon_H205 zenon_H23f zenon_H27e zenon_H265 zenon_H15f zenon_H69 zenon_Ha5 zenon_H13 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.17/1.45 apply (zenon_L418_); trivial. % 1.17/1.45 apply (zenon_L446_); trivial. % 1.17/1.45 (* end of lemma zenon_L447_ *) % 1.17/1.45 assert (zenon_L448_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a213))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp14)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (ndr1_0) -> (~(c1_1 (a230))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H3d zenon_H21f zenon_Hb4 zenon_H27d zenon_H279 zenon_H1b4 zenon_H26d zenon_H8b zenon_H8d zenon_H21a zenon_H252 zenon_H263 zenon_H13 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a zenon_Heb zenon_H253 zenon_H254 zenon_H188 zenon_H18a zenon_H10 zenon_H75 zenon_H6d zenon_H6c zenon_H7f zenon_H15e zenon_H14d zenon_H205 zenon_H23f zenon_H27e zenon_H265 zenon_H15f zenon_H69 zenon_Ha5. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.45 apply (zenon_L439_); trivial. % 1.17/1.45 apply (zenon_L447_); trivial. % 1.17/1.45 (* end of lemma zenon_L448_ *) % 1.17/1.45 assert (zenon_L449_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp8)\/(hskp3))) -> (~(hskp3)) -> (~(hskp8)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.17/1.45 do 0 intro. intros zenon_Ha1 zenon_H69 zenon_H161 zenon_H15f zenon_H50 zenon_H27e zenon_H23f zenon_H205 zenon_H14d zenon_H15e. % 1.17/1.45 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.17/1.45 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.17/1.45 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.17/1.45 apply (zenon_L436_); trivial. % 1.17/1.45 apply (zenon_L106_); trivial. % 1.17/1.45 (* end of lemma zenon_L449_ *) % 1.17/1.45 assert (zenon_L450_ : ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (c3_1 (a228)) -> (~(c2_1 (a228))) -> (~(c1_1 (a228))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (ndr1_0) -> (~(hskp26)) -> False). % 1.17/1.45 do 0 intro. intros zenon_H26d zenon_H245 zenon_H244 zenon_H243 zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H26b. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H267 | zenon_intro zenon_H26e ]. % 1.17/1.45 generalize (zenon_H267 (a228)). zenon_intro zenon_H280. % 1.17/1.45 apply (zenon_imply_s _ _ zenon_H280); [ zenon_intro zenon_Hf | zenon_intro zenon_H281 ]. % 1.17/1.45 exact (zenon_Hf zenon_H10). % 1.17/1.45 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H249 | zenon_intro zenon_H282 ]. % 1.17/1.45 exact (zenon_H243 zenon_H249). % 1.17/1.45 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H250 | zenon_intro zenon_H24a ]. % 1.17/1.45 exact (zenon_H244 zenon_H250). % 1.17/1.45 exact (zenon_H24a zenon_H245). % 1.17/1.45 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H251 | zenon_intro zenon_H26c ]. % 1.17/1.45 apply (zenon_L415_); trivial. % 1.17/1.45 exact (zenon_H26b zenon_H26c). % 1.17/1.45 (* end of lemma zenon_L450_ *) % 1.17/1.45 assert (zenon_L451_ : ((ndr1_0)/\((c3_1 (a228))/\((~(c1_1 (a228)))/\(~(c2_1 (a228)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H283 zenon_H27d zenon_H279 zenon_H15f zenon_H1b4 zenon_H252 zenon_H253 zenon_H254 zenon_H26d. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H10. zenon_intro zenon_H284. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H245. zenon_intro zenon_H285. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H26b | zenon_intro zenon_H278 ]. % 1.17/1.45 apply (zenon_L450_); trivial. % 1.17/1.45 apply (zenon_L429_); trivial. % 1.17/1.45 (* end of lemma zenon_L451_ *) % 1.17/1.45 assert (zenon_L452_ : ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp27))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> (ndr1_0) -> (~(hskp27)) -> False). % 1.17/1.45 do 0 intro. intros zenon_H286 zenon_H6d zenon_H6c zenon_H75 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H10 zenon_H11. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H7a | zenon_intro zenon_H287 ]. % 1.17/1.45 apply (zenon_L31_); trivial. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H12 ]. % 1.17/1.45 apply (zenon_L61_); trivial. % 1.17/1.45 exact (zenon_H11 zenon_H12). % 1.17/1.45 (* end of lemma zenon_L452_ *) % 1.17/1.45 assert (zenon_L453_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (ndr1_0) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp27))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H3a zenon_H20f zenon_H20d zenon_H21 zenon_H20 zenon_H1f zenon_H10 zenon_H75 zenon_H6c zenon_H6d zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H286. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.17/1.45 apply (zenon_L452_); trivial. % 1.17/1.45 apply (zenon_L268_); trivial. % 1.17/1.45 (* end of lemma zenon_L453_ *) % 1.17/1.45 assert (zenon_L454_ : ((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a243))) -> (~(c1_1 (a243))) -> (~(c0_1 (a243))) -> (~(hskp20)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H11d zenon_H21a zenon_H213 zenon_H212 zenon_H211 zenon_H3e zenon_H253 zenon_H254 zenon_H11e. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.17/1.45 apply (zenon_L269_); trivial. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H10b | zenon_intro zenon_H121 ]. % 1.17/1.45 apply (zenon_L87_); trivial. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_He0 | zenon_intro zenon_H3f ]. % 1.17/1.45 apply (zenon_L419_); trivial. % 1.17/1.45 exact (zenon_H3e zenon_H3f). % 1.17/1.45 apply (zenon_L87_); trivial. % 1.17/1.45 (* end of lemma zenon_L454_ *) % 1.17/1.45 assert (zenon_L455_ : ((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a243))) -> (~(c1_1 (a243))) -> (~(c0_1 (a243))) -> (~(hskp3)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(c3_1 (a259))) -> (c0_1 (a259)) -> (c1_1 (a259)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H11d zenon_H21a zenon_H213 zenon_H212 zenon_H211 zenon_H15f zenon_H253 zenon_H254 zenon_H59 zenon_H5a zenon_H5b zenon_H265. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.17/1.45 apply (zenon_L269_); trivial. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.17/1.45 apply (zenon_L422_); trivial. % 1.17/1.45 apply (zenon_L87_); trivial. % 1.17/1.45 (* end of lemma zenon_L455_ *) % 1.17/1.45 assert (zenon_L456_ : ((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(c2_1 (a243))) -> (~(c1_1 (a243))) -> (~(c0_1 (a243))) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H64 zenon_H13a zenon_H21a zenon_H253 zenon_H254 zenon_H15f zenon_H265 zenon_H213 zenon_H212 zenon_H211 zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H10. zenon_intro zenon_H66. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5a. zenon_intro zenon_H67. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.17/1.45 apply (zenon_L136_); trivial. % 1.17/1.45 apply (zenon_L455_); trivial. % 1.17/1.45 (* end of lemma zenon_L456_ *) % 1.17/1.45 assert (zenon_L457_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H21c zenon_H69 zenon_H15f zenon_H265 zenon_H13b zenon_H9 zenon_H18e zenon_H18d zenon_H18c zenon_H11e zenon_H254 zenon_H253 zenon_H21a zenon_H13a. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.17/1.45 apply (zenon_L136_); trivial. % 1.17/1.45 apply (zenon_L454_); trivial. % 1.17/1.45 apply (zenon_L456_); trivial. % 1.17/1.45 (* end of lemma zenon_L457_ *) % 1.17/1.45 assert (zenon_L458_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp27))) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (ndr1_0) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H21f zenon_H69 zenon_H15f zenon_H265 zenon_H13b zenon_H9 zenon_H18e zenon_H18d zenon_H18c zenon_H11e zenon_H254 zenon_H253 zenon_H21a zenon_H13a zenon_H286 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H6d zenon_H6c zenon_H75 zenon_H10 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.17/1.45 apply (zenon_L453_); trivial. % 1.17/1.45 apply (zenon_L457_); trivial. % 1.17/1.45 (* end of lemma zenon_L458_ *) % 1.17/1.45 assert (zenon_L459_ : (forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64)))))) -> (ndr1_0) -> (~(c1_1 (a224))) -> (forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34)))))) -> (c3_1 (a224)) -> False). % 1.17/1.45 do 0 intro. intros zenon_H267 zenon_H10 zenon_H122 zenon_H7a zenon_H124. % 1.17/1.45 generalize (zenon_H267 (a224)). zenon_intro zenon_H288. % 1.17/1.45 apply (zenon_imply_s _ _ zenon_H288); [ zenon_intro zenon_Hf | zenon_intro zenon_H289 ]. % 1.17/1.45 exact (zenon_Hf zenon_H10). % 1.17/1.45 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H128 | zenon_intro zenon_H28a ]. % 1.17/1.45 exact (zenon_H122 zenon_H128). % 1.17/1.45 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H12b | zenon_intro zenon_H129 ]. % 1.17/1.45 apply (zenon_L91_); trivial. % 1.17/1.45 exact (zenon_H129 zenon_H124). % 1.17/1.45 (* end of lemma zenon_L459_ *) % 1.17/1.45 assert (zenon_L460_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (ndr1_0) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H27d zenon_H279 zenon_H15f zenon_H1b4 zenon_H7f zenon_H7d zenon_H124 zenon_H123 zenon_H122 zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_H26d. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H26b | zenon_intro zenon_H278 ]. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H267 | zenon_intro zenon_H26e ]. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H74 | zenon_intro zenon_H80 ]. % 1.17/1.45 apply (zenon_L90_); trivial. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H7a | zenon_intro zenon_H7e ]. % 1.17/1.45 apply (zenon_L459_); trivial. % 1.17/1.45 exact (zenon_H7d zenon_H7e). % 1.17/1.45 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H251 | zenon_intro zenon_H26c ]. % 1.17/1.45 apply (zenon_L415_); trivial. % 1.17/1.45 exact (zenon_H26b zenon_H26c). % 1.17/1.45 apply (zenon_L429_); trivial. % 1.17/1.45 (* end of lemma zenon_L460_ *) % 1.17/1.45 assert (zenon_L461_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a228))/\((~(c1_1 (a228)))/\(~(c2_1 (a228))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (ndr1_0) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (~(hskp1)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp8)\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H28b zenon_H27d zenon_H279 zenon_H15f zenon_H1b4 zenon_H7f zenon_H124 zenon_H123 zenon_H122 zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_H26d zenon_H15e zenon_H14d zenon_H205 zenon_H27e zenon_H50 zenon_H161 zenon_H69 zenon_Ha5. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H23f | zenon_intro zenon_H283 ]. % 1.17/1.45 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.45 apply (zenon_L460_); trivial. % 1.17/1.45 apply (zenon_L449_); trivial. % 1.17/1.45 apply (zenon_L451_); trivial. % 1.17/1.45 (* end of lemma zenon_L461_ *) % 1.17/1.45 assert (zenon_L462_ : ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (~(hskp27)) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> (~(c1_1 (a224))) -> (c3_1 (a224)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp27))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (ndr1_0) -> (~(hskp26)) -> False). % 1.17/1.45 do 0 intro. intros zenon_H26d zenon_H11 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H122 zenon_H124 zenon_H286 zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H26b. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H267 | zenon_intro zenon_H26e ]. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H7a | zenon_intro zenon_H287 ]. % 1.17/1.45 apply (zenon_L459_); trivial. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H12 ]. % 1.17/1.45 apply (zenon_L61_); trivial. % 1.17/1.45 exact (zenon_H11 zenon_H12). % 1.17/1.45 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H251 | zenon_intro zenon_H26c ]. % 1.17/1.45 apply (zenon_L415_); trivial. % 1.17/1.45 exact (zenon_H26b zenon_H26c). % 1.17/1.45 (* end of lemma zenon_L462_ *) % 1.17/1.45 assert (zenon_L463_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (ndr1_0) -> (~(c1_1 (a224))) -> (c3_1 (a224)) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp27))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a224)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H27d zenon_H279 zenon_H15f zenon_H1b4 zenon_H26d zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H122 zenon_H124 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H286 zenon_H7f zenon_H7d zenon_H123 zenon_H3 zenon_H134 zenon_H3a. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H26b | zenon_intro zenon_H278 ]. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.17/1.45 apply (zenon_L462_); trivial. % 1.17/1.45 apply (zenon_L94_); trivial. % 1.17/1.45 apply (zenon_L429_); trivial. % 1.17/1.45 (* end of lemma zenon_L463_ *) % 1.17/1.45 assert (zenon_L464_ : ((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(hskp5)) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> False). % 1.17/1.45 do 0 intro. intros zenon_Ha4 zenon_Ha5 zenon_H69 zenon_H265 zenon_H27e zenon_H23f zenon_H205 zenon_H14d zenon_H15e zenon_H26d zenon_H254 zenon_H253 zenon_H252 zenon_H122 zenon_H123 zenon_H124 zenon_H7f zenon_H1b4 zenon_H15f zenon_H279 zenon_H27d. % 1.17/1.45 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.17/1.45 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.17/1.45 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.17/1.45 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.45 apply (zenon_L460_); trivial. % 1.17/1.45 apply (zenon_L444_); trivial. % 1.17/1.45 (* end of lemma zenon_L464_ *) % 1.17/1.45 assert (zenon_L465_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(c1_1 (a224))) -> (c3_1 (a224)) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp27))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c0_1 (a224)) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H39 zenon_H21f zenon_Hb4 zenon_H27d zenon_H279 zenon_H15f zenon_H1b4 zenon_H26d zenon_H254 zenon_H253 zenon_H252 zenon_H122 zenon_H124 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H286 zenon_H7f zenon_H123 zenon_H3 zenon_H134 zenon_H15e zenon_H14d zenon_H205 zenon_H23f zenon_H27e zenon_H265 zenon_H263 zenon_H21a zenon_H69 zenon_Ha5 zenon_H13 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.17/1.45 apply (zenon_L418_); trivial. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.17/1.45 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.17/1.45 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.17/1.45 apply (zenon_L463_); trivial. % 1.17/1.45 apply (zenon_L442_); trivial. % 1.17/1.45 apply (zenon_L464_); trivial. % 1.17/1.45 (* end of lemma zenon_L465_ *) % 1.17/1.45 assert (zenon_L466_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (ndr1_0) -> (~(c1_1 (a224))) -> (c3_1 (a224)) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp27))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> (~(hskp17)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H27d zenon_H279 zenon_H15f zenon_H1b4 zenon_H26d zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H122 zenon_H124 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H286 zenon_H1f zenon_H20 zenon_H21 zenon_H20d zenon_H20f zenon_H3a. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H26b | zenon_intro zenon_H278 ]. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.17/1.45 apply (zenon_L462_); trivial. % 1.17/1.45 apply (zenon_L268_); trivial. % 1.17/1.45 apply (zenon_L429_); trivial. % 1.17/1.45 (* end of lemma zenon_L466_ *) % 1.17/1.45 assert (zenon_L467_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp27))) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> (c3_1 (a224)) -> (~(c1_1 (a224))) -> (ndr1_0) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (~(hskp5)) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H21f zenon_H69 zenon_H265 zenon_H13b zenon_H9 zenon_H18e zenon_H18d zenon_H18c zenon_H11e zenon_H21a zenon_H13a zenon_H3a zenon_H20f zenon_H21 zenon_H20 zenon_H1f zenon_H286 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H124 zenon_H122 zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_H26d zenon_H1b4 zenon_H15f zenon_H279 zenon_H27d. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.17/1.45 apply (zenon_L466_); trivial. % 1.17/1.45 apply (zenon_L457_); trivial. % 1.17/1.45 (* end of lemma zenon_L467_ *) % 1.17/1.45 assert (zenon_L468_ : ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (~(hskp19)) -> (~(c1_1 (a224))) -> (c3_1 (a224)) -> (~(c1_1 (a230))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7)))))) -> (c3_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (ndr1_0) -> (~(hskp26)) -> False). % 1.17/1.45 do 0 intro. intros zenon_H26d zenon_H7d zenon_H122 zenon_H124 zenon_H75 zenon_Hdc zenon_H6d zenon_H7f zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H26b. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H267 | zenon_intro zenon_H26e ]. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H74 | zenon_intro zenon_H80 ]. % 1.17/1.45 apply (zenon_L65_); trivial. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H7a | zenon_intro zenon_H7e ]. % 1.17/1.45 apply (zenon_L459_); trivial. % 1.17/1.45 exact (zenon_H7d zenon_H7e). % 1.17/1.45 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H251 | zenon_intro zenon_H26c ]. % 1.17/1.45 apply (zenon_L415_); trivial. % 1.17/1.45 exact (zenon_H26b zenon_H26c). % 1.17/1.45 (* end of lemma zenon_L468_ *) % 1.17/1.45 assert (zenon_L469_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (ndr1_0) -> (~(c1_1 (a230))) -> (c3_1 (a230)) -> (~(c1_1 (a224))) -> (c3_1 (a224)) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H27d zenon_H279 zenon_H15f zenon_H26d zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H75 zenon_H6d zenon_H122 zenon_H124 zenon_H7d zenon_H7f zenon_H18c zenon_H18d zenon_H18e zenon_H1b4 zenon_H1bd. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H26b | zenon_intro zenon_H278 ]. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_Hdc | zenon_intro zenon_H1be ]. % 1.17/1.45 apply (zenon_L468_); trivial. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_Hfa | zenon_intro zenon_H1b5 ]. % 1.17/1.45 apply (zenon_L135_); trivial. % 1.17/1.45 exact (zenon_H1b4 zenon_H1b5). % 1.17/1.45 apply (zenon_L429_); trivial. % 1.17/1.45 (* end of lemma zenon_L469_ *) % 1.17/1.45 assert (zenon_L470_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H69 zenon_H18a zenon_H9 zenon_H188 zenon_H253 zenon_H254 zenon_H15f zenon_H265 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H10 zenon_H205 zenon_H23f zenon_H27e zenon_H15e. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14b | zenon_intro zenon_H159 ]. % 1.17/1.45 apply (zenon_L101_); trivial. % 1.17/1.45 apply (zenon_L435_); trivial. % 1.17/1.45 apply (zenon_L437_); trivial. % 1.17/1.45 (* end of lemma zenon_L470_ *) % 1.17/1.45 assert (zenon_L471_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.17/1.45 do 0 intro. intros zenon_H17f zenon_H16 zenon_H14 zenon_H15 zenon_H10b zenon_H144 zenon_H143 zenon_H142 zenon_H10 zenon_H109. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H16e | zenon_intro zenon_H180 ]. % 1.17/1.45 apply (zenon_L115_); trivial. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H141 | zenon_intro zenon_H10a ]. % 1.17/1.45 apply (zenon_L99_); trivial. % 1.17/1.45 exact (zenon_H109 zenon_H10a). % 1.17/1.45 (* end of lemma zenon_L471_ *) % 1.17/1.45 assert (zenon_L472_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> (ndr1_0) -> (~(c0_1 (a243))) -> (~(c1_1 (a243))) -> (~(c2_1 (a243))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H13a zenon_H10 zenon_H211 zenon_H212 zenon_H213 zenon_H11e zenon_H3e zenon_H254 zenon_H253 zenon_H15 zenon_H14 zenon_H16 zenon_H142 zenon_H143 zenon_H144 zenon_H17f zenon_H21a. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.17/1.45 apply (zenon_L269_); trivial. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H10b | zenon_intro zenon_H121 ]. % 1.17/1.45 apply (zenon_L471_); trivial. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_He0 | zenon_intro zenon_H3f ]. % 1.17/1.45 apply (zenon_L419_); trivial. % 1.17/1.45 exact (zenon_H3e zenon_H3f). % 1.17/1.45 apply (zenon_L471_); trivial. % 1.17/1.45 apply (zenon_L454_); trivial. % 1.17/1.45 (* end of lemma zenon_L472_ *) % 1.17/1.45 assert (zenon_L473_ : ((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> (~(c0_1 (a243))) -> (~(c1_1 (a243))) -> (~(c2_1 (a243))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H64 zenon_H13a zenon_H211 zenon_H212 zenon_H213 zenon_H265 zenon_H15f zenon_H254 zenon_H253 zenon_H17f zenon_H144 zenon_H143 zenon_H142 zenon_H16 zenon_H14 zenon_H15 zenon_H21a. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H10. zenon_intro zenon_H66. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5a. zenon_intro zenon_H67. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.17/1.45 apply (zenon_L269_); trivial. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.17/1.45 apply (zenon_L422_); trivial. % 1.17/1.45 apply (zenon_L471_); trivial. % 1.17/1.45 apply (zenon_L455_); trivial. % 1.17/1.45 (* end of lemma zenon_L473_ *) % 1.17/1.45 assert (zenon_L474_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H39 zenon_H21f zenon_H69 zenon_H265 zenon_H15f zenon_H21a zenon_H17f zenon_H144 zenon_H143 zenon_H142 zenon_H253 zenon_H254 zenon_H11e zenon_H13a zenon_H13 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.17/1.45 apply (zenon_L418_); trivial. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.17/1.45 apply (zenon_L472_); trivial. % 1.17/1.45 apply (zenon_L473_); trivial. % 1.17/1.45 (* end of lemma zenon_L474_ *) % 1.17/1.45 assert (zenon_L475_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> (ndr1_0) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(hskp14)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H3d zenon_H21f zenon_H21a zenon_H17f zenon_H11e zenon_H13a zenon_H13 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a zenon_H15e zenon_H27e zenon_H23f zenon_H205 zenon_H10 zenon_H142 zenon_H143 zenon_H144 zenon_H14d zenon_H265 zenon_H15f zenon_H254 zenon_H253 zenon_H188 zenon_H18a zenon_H69. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.45 apply (zenon_L470_); trivial. % 1.17/1.45 apply (zenon_L474_); trivial. % 1.17/1.45 (* end of lemma zenon_L475_ *) % 1.17/1.45 assert (zenon_L476_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (c3_1 (a229)) -> (~(c0_1 (a229))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> False). % 1.17/1.45 do 0 intro. intros zenon_Heb zenon_H254 zenon_H253 zenon_Hca zenon_Hc8 zenon_H10 zenon_H16a. % 1.17/1.45 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.17/1.45 apply (zenon_L114_); trivial. % 1.17/1.45 apply (zenon_L419_); trivial. % 1.17/1.45 (* end of lemma zenon_L476_ *) % 1.17/1.45 assert (zenon_L477_ : ((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp5)) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (c2_1 (a229)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(c0_1 (a229))) -> (c3_1 (a229)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H11d zenon_H21a zenon_H1b4 zenon_H18c zenon_H18d zenon_H18e zenon_H184 zenon_H20 zenon_H1f zenon_Hc9 zenon_H1bd zenon_Hc8 zenon_Hca zenon_H253 zenon_H254 zenon_Heb. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.17/1.45 apply (zenon_L265_); trivial. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.17/1.45 apply (zenon_L476_); trivial. % 1.17/1.45 apply (zenon_L87_); trivial. % 1.17/1.45 (* end of lemma zenon_L477_ *) % 1.17/1.45 assert (zenon_L478_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (ndr1_0) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> False). % 1.17/1.45 do 0 intro. intros zenon_H13a zenon_H21a zenon_H253 zenon_H254 zenon_Heb zenon_H184 zenon_H20 zenon_H1f zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H1b4 zenon_H1bd zenon_H10 zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.17/1.45 apply (zenon_L136_); trivial. % 1.17/1.45 apply (zenon_L477_); trivial. % 1.17/1.45 (* end of lemma zenon_L478_ *) % 1.17/1.45 assert (zenon_L479_ : ((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp20)\/(hskp13))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.17/1.45 do 0 intro. intros zenon_Hf2 zenon_Hb7 zenon_H1a7 zenon_H13b zenon_H1bd zenon_H1b4 zenon_H184 zenon_Heb zenon_H18a zenon_H15f zenon_H265 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H205 zenon_H23f zenon_H27e zenon_H15e zenon_H3a zenon_H20f zenon_H13 zenon_H13a zenon_H11e zenon_H17f zenon_H21a zenon_H21f zenon_H3d zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H62 zenon_H65 zenon_H69. % 1.17/1.45 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.17/1.45 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.17/1.45 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.17/1.45 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.17/1.45 apply (zenon_L417_); trivial. % 1.17/1.45 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.17/1.45 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.17/1.45 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.17/1.45 apply (zenon_L475_); trivial. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.45 apply (zenon_L478_); trivial. % 1.17/1.45 apply (zenon_L474_); trivial. % 1.17/1.45 (* end of lemma zenon_L479_ *) % 1.17/1.45 assert (zenon_L480_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (~(hskp1)) -> (~(hskp9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp20)\/(hskp13))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.17/1.45 do 0 intro. intros zenon_Hee zenon_Hb7 zenon_H1a7 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H286 zenon_H13b zenon_H18a zenon_H15f zenon_H265 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H205 zenon_H23f zenon_H27e zenon_H15e zenon_H3a zenon_H20f zenon_H13 zenon_H13a zenon_H11e zenon_H17f zenon_H21a zenon_H21f zenon_H3d zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H62 zenon_H65 zenon_H69. % 1.17/1.45 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.17/1.45 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.17/1.45 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.17/1.45 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.17/1.45 apply (zenon_L417_); trivial. % 1.17/1.45 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.17/1.45 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.17/1.45 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.17/1.45 apply (zenon_L475_); trivial. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.17/1.45 apply (zenon_L458_); trivial. % 1.17/1.45 apply (zenon_L474_); trivial. % 1.17/1.45 (* end of lemma zenon_L480_ *) % 1.17/1.45 assert (zenon_L481_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp7)) -> (~(hskp11)) -> ((hskp15)\/((hskp7)\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp20)\/(hskp13))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (ndr1_0) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.17/1.45 do 0 intro. intros zenon_Hb7 zenon_H3d zenon_H3a zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H134 zenon_H13 zenon_Hb zenon_H3 zenon_Hd zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H62 zenon_H65 zenon_H69. % 1.17/1.45 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.17/1.45 apply (zenon_L417_); trivial. % 1.17/1.45 apply (zenon_L193_); trivial. % 1.17/1.45 (* end of lemma zenon_L481_ *) % 1.17/1.45 assert (zenon_L482_ : ((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(hskp9))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(hskp9)) -> False). % 1.17/1.45 do 0 intro. intros zenon_H64 zenon_H241 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H23f. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H10. zenon_intro zenon_H66. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5a. zenon_intro zenon_H67. % 1.17/1.45 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.17/1.45 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H1ce | zenon_intro zenon_H242 ]. % 1.27/1.46 apply (zenon_L190_); trivial. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H58 | zenon_intro zenon_H240 ]. % 1.27/1.46 apply (zenon_L25_); trivial. % 1.27/1.46 exact (zenon_H23f zenon_H240). % 1.27/1.46 (* end of lemma zenon_L482_ *) % 1.27/1.46 assert (zenon_L483_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(hskp9))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> False). % 1.27/1.46 do 0 intro. intros zenon_Ha5 zenon_H69 zenon_H241 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H27e zenon_H23f zenon_H205 zenon_H14d zenon_H15e zenon_H7f zenon_H6c zenon_H6d zenon_H75 zenon_H10 zenon_H18a zenon_H9 zenon_H188 zenon_H254 zenon_H253 zenon_Heb. % 1.27/1.46 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.27/1.46 apply (zenon_L433_); trivial. % 1.27/1.46 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.27/1.46 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.27/1.46 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.27/1.46 apply (zenon_L436_); trivial. % 1.27/1.46 apply (zenon_L482_); trivial. % 1.27/1.46 (* end of lemma zenon_L483_ *) % 1.27/1.46 assert (zenon_L484_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp28)) -> (~(c2_1 (a252))) -> (c1_1 (a252)) -> (~(c3_1 (a252))) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (ndr1_0) -> (c0_1 (a232)) -> (c2_1 (a232)) -> (c3_1 (a232)) -> False). % 1.27/1.46 do 0 intro. intros zenon_H1d8 zenon_H109 zenon_H90 zenon_H91 zenon_H8f zenon_H10b zenon_H15 zenon_H14 zenon_H16 zenon_H17f zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H10 zenon_H29 zenon_H2a zenon_H2b. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H46 | zenon_intro zenon_H1d9 ]. % 1.27/1.46 apply (zenon_L215_); trivial. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28 ]. % 1.27/1.46 apply (zenon_L190_); trivial. % 1.27/1.46 apply (zenon_L12_); trivial. % 1.27/1.46 (* end of lemma zenon_L484_ *) % 1.27/1.46 assert (zenon_L485_ : ((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> (~(c0_1 (a243))) -> (~(c1_1 (a243))) -> (~(c2_1 (a243))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (~(c3_1 (a252))) -> (c1_1 (a252)) -> (~(c2_1 (a252))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False). % 1.27/1.46 do 0 intro. intros zenon_H34 zenon_H13a zenon_H211 zenon_H212 zenon_H213 zenon_H11e zenon_H3e zenon_H254 zenon_H253 zenon_H17f zenon_H8f zenon_H91 zenon_H90 zenon_H16 zenon_H14 zenon_H15 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8 zenon_H21a. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.27/1.46 apply (zenon_L269_); trivial. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H10b | zenon_intro zenon_H121 ]. % 1.27/1.46 apply (zenon_L484_); trivial. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_He0 | zenon_intro zenon_H3f ]. % 1.27/1.46 apply (zenon_L419_); trivial. % 1.27/1.46 exact (zenon_H3e zenon_H3f). % 1.27/1.46 apply (zenon_L484_); trivial. % 1.27/1.46 apply (zenon_L454_); trivial. % 1.27/1.46 (* end of lemma zenon_L485_ *) % 1.27/1.46 assert (zenon_L486_ : ((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> (~(c0_1 (a243))) -> (~(c1_1 (a243))) -> (~(c2_1 (a243))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (c1_1 (a259)) -> (c0_1 (a259)) -> (~(c3_1 (a259))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> (~(c2_1 (a252))) -> (c1_1 (a252)) -> (~(c3_1 (a252))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False). % 1.27/1.46 do 0 intro. intros zenon_H34 zenon_H13a zenon_H211 zenon_H212 zenon_H213 zenon_H265 zenon_H15f zenon_H254 zenon_H253 zenon_H5b zenon_H5a zenon_H59 zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H15 zenon_H14 zenon_H16 zenon_H90 zenon_H91 zenon_H8f zenon_H17f zenon_H21a. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.27/1.46 apply (zenon_L269_); trivial. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.27/1.46 apply (zenon_L422_); trivial. % 1.27/1.46 apply (zenon_L484_); trivial. % 1.27/1.46 apply (zenon_L455_); trivial. % 1.27/1.46 (* end of lemma zenon_L486_ *) % 1.27/1.46 assert (zenon_L487_ : ((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> (~(c0_1 (a243))) -> (~(c1_1 (a243))) -> (~(c2_1 (a243))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(c2_1 (a252))) -> (c1_1 (a252)) -> (~(c3_1 (a252))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a238))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> False). % 1.27/1.46 do 0 intro. intros zenon_H64 zenon_H3a zenon_H13a zenon_H211 zenon_H212 zenon_H213 zenon_H265 zenon_H15f zenon_H254 zenon_H253 zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H90 zenon_H91 zenon_H8f zenon_H17f zenon_H21a zenon_H16 zenon_H15 zenon_H14 zenon_H13. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H10. zenon_intro zenon_H66. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5a. zenon_intro zenon_H67. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.27/1.46 apply (zenon_L10_); trivial. % 1.27/1.46 apply (zenon_L486_); trivial. % 1.27/1.46 (* end of lemma zenon_L487_ *) % 1.27/1.46 assert (zenon_L488_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a213))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.27/1.46 do 0 intro. intros zenon_H39 zenon_H21f zenon_Hb4 zenon_Ha5 zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H17f zenon_H11e zenon_H13a zenon_H7f zenon_H6d zenon_H6c zenon_H75 zenon_H8b zenon_H8d zenon_H57 zenon_H21a zenon_H252 zenon_H263 zenon_H253 zenon_H254 zenon_Hb zenon_H220 zenon_H44 zenon_H265 zenon_H15f zenon_H69 zenon_H13 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.27/1.46 apply (zenon_L418_); trivial. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.27/1.46 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.27/1.46 apply (zenon_L424_); trivial. % 1.27/1.46 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.27/1.46 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.27/1.46 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.27/1.46 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.27/1.46 apply (zenon_L36_); trivial. % 1.27/1.46 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.27/1.46 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.27/1.46 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.27/1.46 apply (zenon_L10_); trivial. % 1.27/1.46 apply (zenon_L485_); trivial. % 1.27/1.46 apply (zenon_L487_); trivial. % 1.27/1.46 (* end of lemma zenon_L488_ *) % 1.27/1.46 assert (zenon_L489_ : ((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> False). % 1.27/1.46 do 0 intro. intros zenon_H52 zenon_H3a zenon_H1d8 zenon_H1dc zenon_H6d zenon_H6c zenon_H75 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H8b zenon_Hd1. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H10. zenon_intro zenon_H54. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H55. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H49. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.27/1.46 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H46 | zenon_intro zenon_Hd2 ]. % 1.27/1.46 apply (zenon_L21_); trivial. % 1.27/1.46 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H6a | zenon_intro zenon_H8c ]. % 1.27/1.46 apply (zenon_L203_); trivial. % 1.27/1.46 exact (zenon_H8b zenon_H8c). % 1.27/1.46 apply (zenon_L292_); trivial. % 1.27/1.46 (* end of lemma zenon_L489_ *) % 1.27/1.46 assert (zenon_L490_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp20)) -> (~(hskp18)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> False). % 1.27/1.46 do 0 intro. intros zenon_H57 zenon_H3a zenon_H1d8 zenon_H1dc zenon_H6d zenon_H6c zenon_H75 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H8b zenon_Hd1 zenon_H3e zenon_H40 zenon_H44. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H42 | zenon_intro zenon_H52 ]. % 1.27/1.46 apply (zenon_L20_); trivial. % 1.27/1.46 apply (zenon_L489_); trivial. % 1.27/1.46 (* end of lemma zenon_L490_ *) % 1.27/1.46 assert (zenon_L491_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(hskp9))) -> (~(hskp9)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp18)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> False). % 1.27/1.46 do 0 intro. intros zenon_H69 zenon_H241 zenon_H23f zenon_H44 zenon_H40 zenon_Hd1 zenon_H8b zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H75 zenon_H6c zenon_H6d zenon_H1dc zenon_H1d8 zenon_H3a zenon_H57. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.27/1.46 apply (zenon_L490_); trivial. % 1.27/1.46 apply (zenon_L482_); trivial. % 1.27/1.46 (* end of lemma zenon_L491_ *) % 1.27/1.46 assert (zenon_L492_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> (ndr1_0) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a247)) -> (c0_1 (a247)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> False). % 1.27/1.46 do 0 intro. intros zenon_H3a zenon_H20f zenon_H20d zenon_H21 zenon_H20 zenon_H1f zenon_H13b zenon_H9 zenon_H18e zenon_H18d zenon_H18c zenon_H10 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H11e zenon_H3e zenon_H84 zenon_H83 zenon_H1dc zenon_H13a. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.27/1.46 apply (zenon_L400_); trivial. % 1.27/1.46 apply (zenon_L268_); trivial. % 1.27/1.46 (* end of lemma zenon_L492_ *) % 1.27/1.46 assert (zenon_L493_ : ((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> (~(hskp17)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.27/1.46 do 0 intro. intros zenon_Ha4 zenon_H69 zenon_H241 zenon_H23f zenon_H13a zenon_H1dc zenon_H11e zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b zenon_H1f zenon_H20 zenon_H21 zenon_H20d zenon_H20f zenon_H3a. % 1.27/1.46 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.27/1.46 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.27/1.46 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.27/1.46 apply (zenon_L492_); trivial. % 1.27/1.46 apply (zenon_L482_); trivial. % 1.27/1.46 (* end of lemma zenon_L493_ *) % 1.27/1.46 assert (zenon_L494_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp18)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> False). % 1.27/1.46 do 0 intro. intros zenon_H69 zenon_H18a zenon_H9 zenon_H188 zenon_H253 zenon_H254 zenon_H15f zenon_H265 zenon_H44 zenon_H40 zenon_Hd1 zenon_H8b zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H75 zenon_H6c zenon_H6d zenon_H1dc zenon_H1d8 zenon_H3a zenon_H57. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.27/1.46 apply (zenon_L490_); trivial. % 1.27/1.46 apply (zenon_L437_); trivial. % 1.27/1.46 (* end of lemma zenon_L494_ *) % 1.27/1.46 assert (zenon_L495_ : ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (~(c1_1 (a230))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp15)) -> False). % 1.27/1.46 do 0 intro. intros zenon_H13b zenon_H6d zenon_H6c zenon_H6a zenon_H75 zenon_H10 zenon_H109 zenon_H9. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfa | zenon_intro zenon_H140 ]. % 1.27/1.46 apply (zenon_L156_); trivial. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H10a | zenon_intro zenon_Ha ]. % 1.27/1.46 exact (zenon_H109 zenon_H10a). % 1.27/1.46 exact (zenon_H9 zenon_Ha). % 1.27/1.46 (* end of lemma zenon_L495_ *) % 1.27/1.46 assert (zenon_L496_ : (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X))))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31)))))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> False). % 1.27/1.46 do 0 intro. intros zenon_Hb8 zenon_H10 zenon_H130 zenon_H1f zenon_H20 zenon_H21. % 1.27/1.46 generalize (zenon_Hb8 (a236)). zenon_intro zenon_H28c. % 1.27/1.46 apply (zenon_imply_s _ _ zenon_H28c); [ zenon_intro zenon_Hf | zenon_intro zenon_H28d ]. % 1.27/1.46 exact (zenon_Hf zenon_H10). % 1.27/1.46 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H28e ]. % 1.27/1.46 apply (zenon_L187_); trivial. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H25 | zenon_intro zenon_H26 ]. % 1.27/1.46 exact (zenon_H1f zenon_H25). % 1.27/1.46 exact (zenon_H21 zenon_H26). % 1.27/1.46 (* end of lemma zenon_L496_ *) % 1.27/1.46 assert (zenon_L497_ : ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (~(hskp28)) -> (~(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (c3_1 (a223)) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (ndr1_0) -> (~(hskp1)) -> False). % 1.27/1.46 do 0 intro. intros zenon_H28f zenon_H1f zenon_H20 zenon_H21 zenon_H13b zenon_H6d zenon_H6c zenon_H75 zenon_H109 zenon_H9 zenon_H184 zenon_H271 zenon_H270 zenon_H26f zenon_H10 zenon_H205. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H290 ]. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H6a | zenon_intro zenon_H185 ]. % 1.27/1.46 apply (zenon_L495_); trivial. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H130 | zenon_intro zenon_H181 ]. % 1.27/1.46 apply (zenon_L496_); trivial. % 1.27/1.46 apply (zenon_L428_); trivial. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H181 | zenon_intro zenon_H206 ]. % 1.27/1.46 apply (zenon_L428_); trivial. % 1.27/1.46 exact (zenon_H205 zenon_H206). % 1.27/1.46 (* end of lemma zenon_L497_ *) % 1.27/1.46 assert (zenon_L498_ : ((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp20)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (~(c2_1 (a243))) -> (~(c1_1 (a243))) -> (~(c0_1 (a243))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(hskp1)) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> False). % 1.27/1.46 do 0 intro. intros zenon_H278 zenon_H13a zenon_H21a zenon_H253 zenon_H254 zenon_H3e zenon_H11e zenon_H213 zenon_H212 zenon_H211 zenon_H184 zenon_H21 zenon_H20 zenon_H1f zenon_H75 zenon_H6c zenon_H6d zenon_H9 zenon_H13b zenon_H205 zenon_H28f. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H27a. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H26f. zenon_intro zenon_H27b. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H270. zenon_intro zenon_H271. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.27/1.46 apply (zenon_L497_); trivial. % 1.27/1.46 apply (zenon_L454_); trivial. % 1.27/1.46 (* end of lemma zenon_L498_ *) % 1.27/1.46 assert (zenon_L499_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (c3_1 (a228)) -> (~(c2_1 (a228))) -> (~(c1_1 (a228))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> False). % 1.27/1.46 do 0 intro. intros zenon_H21c zenon_H69 zenon_H18a zenon_H188 zenon_H15f zenon_H265 zenon_H26d zenon_H254 zenon_H253 zenon_H252 zenon_H245 zenon_H244 zenon_H243 zenon_H28f zenon_H205 zenon_H13b zenon_H9 zenon_H6d zenon_H6c zenon_H75 zenon_H1f zenon_H20 zenon_H21 zenon_H184 zenon_H11e zenon_H21a zenon_H13a zenon_H27d. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.27/1.46 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.27/1.46 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H26b | zenon_intro zenon_H278 ]. % 1.27/1.46 apply (zenon_L450_); trivial. % 1.27/1.46 apply (zenon_L498_); trivial. % 1.27/1.46 apply (zenon_L437_); trivial. % 1.27/1.46 (* end of lemma zenon_L499_ *) % 1.27/1.46 assert (zenon_L500_ : ((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a228)) -> (~(c2_1 (a228))) -> (~(c1_1 (a228))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> False). % 1.27/1.47 do 0 intro. intros zenon_H64 zenon_H3a zenon_H20f zenon_H20d zenon_H21 zenon_H20 zenon_H1f zenon_H13b zenon_H9 zenon_H18e zenon_H18d zenon_H18c zenon_H1dc zenon_H245 zenon_H244 zenon_H243 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H265 zenon_H15f zenon_H254 zenon_H253 zenon_H21a zenon_H13a. % 1.27/1.47 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H10. zenon_intro zenon_H66. % 1.27/1.47 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5a. zenon_intro zenon_H67. % 1.27/1.47 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.27/1.47 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.27/1.47 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.27/1.47 apply (zenon_L136_); trivial. % 1.27/1.47 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.27/1.47 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.27/1.47 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.27/1.47 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.27/1.47 apply (zenon_L406_); trivial. % 1.27/1.47 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.27/1.47 apply (zenon_L422_); trivial. % 1.27/1.47 apply (zenon_L87_); trivial. % 1.27/1.47 apply (zenon_L268_); trivial. % 1.27/1.47 (* end of lemma zenon_L500_ *) % 1.27/1.47 assert (zenon_L501_ : ((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (c3_1 (a228)) -> (~(c2_1 (a228))) -> (~(c1_1 (a228))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> (~(hskp17)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.27/1.47 do 0 intro. intros zenon_Ha4 zenon_H69 zenon_H245 zenon_H244 zenon_H243 zenon_H265 zenon_H15f zenon_H254 zenon_H253 zenon_H21a zenon_H13a zenon_H1dc zenon_H11e zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b zenon_H1f zenon_H20 zenon_H21 zenon_H20d zenon_H20f zenon_H3a. % 1.27/1.47 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.27/1.47 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.27/1.47 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.27/1.47 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.27/1.47 apply (zenon_L492_); trivial. % 1.27/1.47 apply (zenon_L500_); trivial. % 1.27/1.47 (* end of lemma zenon_L501_ *) % 1.27/1.47 assert (zenon_L502_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(c1_1 (a228))) -> (~(c2_1 (a228))) -> (c3_1 (a228)) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> (~(hskp17)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.27/1.47 do 0 intro. intros zenon_Hb4 zenon_H11e zenon_H57 zenon_H3a zenon_H1d8 zenon_H1dc zenon_H6d zenon_H6c zenon_H75 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H8b zenon_Hd1 zenon_H44 zenon_H13a zenon_H21a zenon_H253 zenon_H254 zenon_H15f zenon_H265 zenon_H243 zenon_H244 zenon_H245 zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b zenon_H1f zenon_H20 zenon_H21 zenon_H20d zenon_H20f zenon_H69. % 1.27/1.47 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.27/1.47 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.27/1.47 apply (zenon_L490_); trivial. % 1.27/1.47 apply (zenon_L500_); trivial. % 1.27/1.47 apply (zenon_L501_); trivial. % 1.27/1.47 (* end of lemma zenon_L502_ *) % 1.27/1.47 assert (zenon_L503_ : ((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> False). % 1.27/1.47 do 0 intro. intros zenon_Hb3 zenon_H3a zenon_H1d8 zenon_H3 zenon_H134 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc. % 1.27/1.47 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.27/1.47 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.27/1.47 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.27/1.47 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.27/1.47 apply (zenon_L225_); trivial. % 1.27/1.47 apply (zenon_L191_); trivial. % 1.27/1.47 (* end of lemma zenon_L503_ *) % 1.27/1.47 assert (zenon_L504_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp20)\/(hskp13))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (ndr1_0) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.27/1.47 do 0 intro. intros zenon_Hb7 zenon_H3a zenon_H1d8 zenon_H3 zenon_H134 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H62 zenon_H65 zenon_H69. % 1.27/1.47 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.27/1.47 apply (zenon_L417_); trivial. % 1.27/1.47 apply (zenon_L503_); trivial. % 1.27/1.47 (* end of lemma zenon_L504_ *) % 1.27/1.47 assert (zenon_L505_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (ndr1_0) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> False). % 1.27/1.47 do 0 intro. intros zenon_H3a zenon_H20f zenon_H20d zenon_H21 zenon_H20 zenon_H1f zenon_H10 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc. % 1.27/1.47 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.27/1.47 apply (zenon_L225_); trivial. % 1.27/1.47 apply (zenon_L268_); trivial. % 1.27/1.47 (* end of lemma zenon_L505_ *) % 1.27/1.47 assert (zenon_L506_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (~(c2_1 (a243))) -> (~(c1_1 (a243))) -> (~(c0_1 (a243))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.27/1.47 do 0 intro. intros zenon_Ha1 zenon_H69 zenon_H265 zenon_H15f zenon_H13 zenon_H1dc zenon_H124 zenon_H123 zenon_H122 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H21a zenon_H1d8 zenon_H15 zenon_H14 zenon_H16 zenon_H17f zenon_H253 zenon_H254 zenon_H11e zenon_H213 zenon_H212 zenon_H211 zenon_H13a zenon_H3a. % 1.27/1.47 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.27/1.47 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.27/1.47 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.27/1.47 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.27/1.47 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.27/1.47 apply (zenon_L225_); trivial. % 1.27/1.47 apply (zenon_L485_); trivial. % 1.27/1.47 apply (zenon_L487_); trivial. % 1.27/1.47 (* end of lemma zenon_L506_ *) % 1.27/1.47 assert (zenon_L507_ : ((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (~(c2_1 (a243))) -> (~(c1_1 (a243))) -> (~(c0_1 (a243))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> False). % 1.27/1.47 do 0 intro. intros zenon_Ha4 zenon_Ha5 zenon_H69 zenon_H265 zenon_H15f zenon_H13 zenon_H1dc zenon_H124 zenon_H123 zenon_H122 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H21a zenon_H1d8 zenon_H15 zenon_H14 zenon_H16 zenon_H17f zenon_H253 zenon_H254 zenon_H11e zenon_H213 zenon_H212 zenon_H211 zenon_H13a zenon_H3a zenon_H7f zenon_H6d zenon_H6c zenon_H75 zenon_H8b zenon_H8d. % 1.27/1.47 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.27/1.47 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.27/1.47 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.27/1.47 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.27/1.47 apply (zenon_L36_); trivial. % 1.27/1.47 apply (zenon_L506_); trivial. % 1.27/1.47 (* end of lemma zenon_L507_ *) % 1.27/1.47 assert (zenon_L508_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.27/1.47 do 0 intro. intros zenon_H21c zenon_Hb4 zenon_Ha5 zenon_H265 zenon_H15f zenon_H13 zenon_H124 zenon_H123 zenon_H122 zenon_H21a zenon_H15 zenon_H14 zenon_H16 zenon_H17f zenon_H253 zenon_H254 zenon_H11e zenon_H13a zenon_H7f zenon_H8d zenon_H57 zenon_H3a zenon_H1d8 zenon_H1dc zenon_H6d zenon_H6c zenon_H75 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H8b zenon_Hd1 zenon_H44 zenon_H23f zenon_H241 zenon_H69. % 1.27/1.47 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.27/1.47 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.27/1.47 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.27/1.47 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.27/1.47 apply (zenon_L491_); trivial. % 1.27/1.47 apply (zenon_L507_); trivial. % 1.27/1.47 (* end of lemma zenon_L508_ *) % 1.27/1.47 assert (zenon_L509_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.27/1.47 do 0 intro. intros zenon_H39 zenon_H21f zenon_Hb4 zenon_Ha5 zenon_H265 zenon_H15f zenon_H13 zenon_H21a zenon_H17f zenon_H253 zenon_H254 zenon_H11e zenon_H13a zenon_H7f zenon_H8d zenon_H57 zenon_H1d8 zenon_H6d zenon_H6c zenon_H75 zenon_H8b zenon_Hd1 zenon_H44 zenon_H23f zenon_H241 zenon_H69 zenon_H1dc zenon_H124 zenon_H123 zenon_H122 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.27/1.47 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.27/1.47 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.27/1.47 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.27/1.47 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.27/1.47 apply (zenon_L505_); trivial. % 1.27/1.47 apply (zenon_L508_); trivial. % 1.27/1.47 (* end of lemma zenon_L509_ *) % 1.27/1.47 assert (zenon_L510_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (ndr1_0) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.27/1.47 do 0 intro. intros zenon_H21f zenon_H69 zenon_H15f zenon_H265 zenon_H13b zenon_H9 zenon_H18e zenon_H18d zenon_H18c zenon_H11e zenon_H254 zenon_H253 zenon_H21a zenon_H13a zenon_H1dc zenon_H124 zenon_H123 zenon_H122 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H10 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.27/1.47 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.27/1.47 apply (zenon_L505_); trivial. % 1.27/1.47 apply (zenon_L457_); trivial. % 1.27/1.47 (* end of lemma zenon_L510_ *) % 1.27/1.47 assert (zenon_L511_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (c3_1 (a228)) -> (~(c2_1 (a228))) -> (~(c1_1 (a228))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (ndr1_0) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.27/1.47 do 0 intro. intros zenon_H21f zenon_H69 zenon_H18a zenon_H188 zenon_H15f zenon_H265 zenon_H26d zenon_H254 zenon_H253 zenon_H252 zenon_H245 zenon_H244 zenon_H243 zenon_H28f zenon_H205 zenon_H13b zenon_H9 zenon_H6d zenon_H6c zenon_H75 zenon_H184 zenon_H11e zenon_H21a zenon_H13a zenon_H27d zenon_H1dc zenon_H124 zenon_H123 zenon_H122 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H10 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.27/1.47 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.27/1.47 apply (zenon_L505_); trivial. % 1.27/1.47 apply (zenon_L499_); trivial. % 1.27/1.47 (* end of lemma zenon_L511_ *) % 1.27/1.47 assert (zenon_L512_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(hskp19)) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (ndr1_0) -> (c1_1 (a223)) -> (c2_1 (a223)) -> (c3_1 (a223)) -> False). % 1.27/1.47 do 0 intro. intros zenon_H184 zenon_H7d zenon_H75 zenon_H6c zenon_H6d zenon_H7f zenon_H21 zenon_H20 zenon_H1f zenon_H46 zenon_H10 zenon_H26f zenon_H270 zenon_H271. % 1.27/1.47 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H6a | zenon_intro zenon_H185 ]. % 1.27/1.47 apply (zenon_L33_); trivial. % 1.27/1.47 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H130 | zenon_intro zenon_H181 ]. % 1.27/1.47 apply (zenon_L188_); trivial. % 1.27/1.47 apply (zenon_L428_); trivial. % 1.27/1.47 (* end of lemma zenon_L512_ *) % 1.27/1.47 assert (zenon_L513_ : ((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c3_1 (a223)) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> False). % 1.27/1.47 do 0 intro. intros zenon_H34 zenon_H1d8 zenon_H271 zenon_H270 zenon_H26f zenon_H1f zenon_H20 zenon_H21 zenon_H7f zenon_H6d zenon_H6c zenon_H75 zenon_H7d zenon_H184 zenon_H1d1 zenon_H1d0 zenon_H1cf. % 1.27/1.47 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.27/1.47 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.27/1.47 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.27/1.47 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H46 | zenon_intro zenon_H1d9 ]. % 1.27/1.47 apply (zenon_L512_); trivial. % 1.27/1.47 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28 ]. % 1.27/1.47 apply (zenon_L190_); trivial. % 1.27/1.47 apply (zenon_L12_); trivial. % 1.27/1.47 (* end of lemma zenon_L513_ *) % 1.27/1.47 assert (zenon_L514_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a228))) -> (~(c2_1 (a228))) -> (c3_1 (a228)) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> False). % 1.27/1.47 do 0 intro. intros zenon_H27d zenon_H3a zenon_H1d8 zenon_H7f zenon_H7d zenon_H6d zenon_H6c zenon_H75 zenon_H1f zenon_H20 zenon_H21 zenon_H184 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc zenon_H10 zenon_H243 zenon_H244 zenon_H245 zenon_H252 zenon_H253 zenon_H254 zenon_H26d. % 1.27/1.47 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H26b | zenon_intro zenon_H278 ]. % 1.27/1.47 apply (zenon_L450_); trivial. % 1.27/1.47 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H27a. % 1.27/1.47 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H26f. zenon_intro zenon_H27b. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H270. zenon_intro zenon_H271. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.27/1.48 apply (zenon_L225_); trivial. % 1.27/1.48 apply (zenon_L513_); trivial. % 1.27/1.48 (* end of lemma zenon_L514_ *) % 1.27/1.48 assert (zenon_L515_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (c3_1 (a228)) -> (~(c2_1 (a228))) -> (~(c1_1 (a228))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.27/1.48 do 0 intro. intros zenon_H39 zenon_H21f zenon_Ha5 zenon_H69 zenon_H265 zenon_H15f zenon_H21a zenon_H17f zenon_H11e zenon_H13a zenon_H26d zenon_H254 zenon_H253 zenon_H252 zenon_H245 zenon_H244 zenon_H243 zenon_H1dc zenon_H124 zenon_H123 zenon_H122 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H184 zenon_H75 zenon_H6c zenon_H6d zenon_H7f zenon_H1d8 zenon_H27d zenon_H13 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.27/1.48 apply (zenon_L418_); trivial. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.27/1.48 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.27/1.48 apply (zenon_L514_); trivial. % 1.27/1.48 apply (zenon_L506_); trivial. % 1.27/1.48 (* end of lemma zenon_L515_ *) % 1.27/1.48 assert (zenon_L516_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> (~(c0_1 (a243))) -> (~(c1_1 (a243))) -> (~(c2_1 (a243))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (ndr1_0) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.27/1.48 do 0 intro. intros zenon_H69 zenon_H13a zenon_H211 zenon_H212 zenon_H213 zenon_H265 zenon_H254 zenon_H253 zenon_H17f zenon_H16 zenon_H14 zenon_H15 zenon_H21a zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H10 zenon_H7f zenon_H7d zenon_H6c zenon_H6d zenon_H75 zenon_H15f zenon_H163 zenon_H15e. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.27/1.48 apply (zenon_L109_); trivial. % 1.27/1.48 apply (zenon_L473_); trivial. % 1.27/1.48 (* end of lemma zenon_L516_ *) % 1.27/1.48 assert (zenon_L517_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a230))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.27/1.48 do 0 intro. intros zenon_H39 zenon_H21f zenon_Ha5 zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H11e zenon_H15e zenon_H163 zenon_H15f zenon_H75 zenon_H6d zenon_H6c zenon_H7f zenon_H142 zenon_H143 zenon_H144 zenon_H14d zenon_H21a zenon_H17f zenon_H253 zenon_H254 zenon_H265 zenon_H13a zenon_H69 zenon_H13 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.27/1.48 apply (zenon_L418_); trivial. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.27/1.48 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.27/1.48 apply (zenon_L516_); trivial. % 1.27/1.48 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.27/1.48 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.27/1.48 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.27/1.48 apply (zenon_L472_); trivial. % 1.27/1.48 apply (zenon_L487_); trivial. % 1.27/1.48 (* end of lemma zenon_L517_ *) % 1.27/1.48 assert (zenon_L518_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> (~(c1_1 (a230))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> (ndr1_0) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(hskp14)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.27/1.48 do 0 intro. intros zenon_H3d zenon_H21f zenon_Ha5 zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H11e zenon_H163 zenon_H75 zenon_H6d zenon_H6c zenon_H7f zenon_H21a zenon_H17f zenon_H13a zenon_H13 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a zenon_H15e zenon_H27e zenon_H23f zenon_H205 zenon_H10 zenon_H142 zenon_H143 zenon_H144 zenon_H14d zenon_H265 zenon_H15f zenon_H254 zenon_H253 zenon_H188 zenon_H18a zenon_H69. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.27/1.48 apply (zenon_L470_); trivial. % 1.27/1.48 apply (zenon_L517_); trivial. % 1.27/1.48 (* end of lemma zenon_L518_ *) % 1.27/1.48 assert (zenon_L519_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> (~(hskp27)) -> (~(c1_1 (a230))) -> (c3_1 (a230)) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c1_1 (a260)) -> (~(c2_1 (a260))) -> (~(c0_1 (a260))) -> (ndr1_0) -> (~(hskp3)) -> False). % 1.27/1.48 do 0 intro. intros zenon_H163 zenon_H11 zenon_H75 zenon_H6d zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1dc zenon_H152 zenon_H151 zenon_H150 zenon_H10 zenon_H15f. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hdc | zenon_intro zenon_H164 ]. % 1.27/1.48 apply (zenon_L309_); trivial. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H14f | zenon_intro zenon_H160 ]. % 1.27/1.48 apply (zenon_L102_); trivial. % 1.27/1.48 exact (zenon_H15f zenon_H160). % 1.27/1.48 (* end of lemma zenon_L519_ *) % 1.27/1.48 assert (zenon_L520_ : ((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> False). % 1.27/1.48 do 0 intro. intros zenon_H159 zenon_H3a zenon_H20f zenon_H20d zenon_H21 zenon_H20 zenon_H1f zenon_H1dc zenon_H6d zenon_H75 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H15f zenon_H163. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H10. zenon_intro zenon_H15b. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H152. zenon_intro zenon_H15c. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.27/1.48 apply (zenon_L519_); trivial. % 1.27/1.48 apply (zenon_L268_); trivial. % 1.27/1.48 (* end of lemma zenon_L520_ *) % 1.27/1.48 assert (zenon_L521_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> (ndr1_0) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> (~(hskp20)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> False). % 1.27/1.48 do 0 intro. intros zenon_H15e zenon_H3a zenon_H20f zenon_H20d zenon_H21 zenon_H20 zenon_H1f zenon_H1dc zenon_H6d zenon_H75 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H15f zenon_H163 zenon_H10 zenon_H142 zenon_H143 zenon_H144 zenon_H3e zenon_H14d. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14b | zenon_intro zenon_H159 ]. % 1.27/1.48 apply (zenon_L101_); trivial. % 1.27/1.48 apply (zenon_L520_); trivial. % 1.27/1.48 (* end of lemma zenon_L521_ *) % 1.27/1.48 assert (zenon_L522_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp8)\/(hskp3))) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (ndr1_0) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a230))) -> (c3_1 (a230)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> (~(hskp17)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.27/1.48 do 0 intro. intros zenon_H69 zenon_H161 zenon_H50 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H10 zenon_H163 zenon_H15f zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H75 zenon_H6d zenon_H1dc zenon_H1f zenon_H20 zenon_H21 zenon_H20d zenon_H20f zenon_H3a zenon_H15e. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.27/1.48 apply (zenon_L521_); trivial. % 1.27/1.48 apply (zenon_L106_); trivial. % 1.27/1.48 (* end of lemma zenon_L522_ *) % 1.27/1.48 assert (zenon_L523_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp8)\/(hskp3))) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a230))) -> (c3_1 (a230)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> False). % 1.27/1.48 do 0 intro. intros zenon_H195 zenon_H3d zenon_Ha5 zenon_H1d8 zenon_H6c zenon_H7f zenon_H17f zenon_H13 zenon_H69 zenon_H161 zenon_H50 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H163 zenon_H15f zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H75 zenon_H6d zenon_H1dc zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a zenon_H15e zenon_H13a zenon_H21a zenon_H253 zenon_H254 zenon_H11e zenon_H13b zenon_H265 zenon_H21f. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.27/1.48 apply (zenon_L522_); trivial. % 1.27/1.48 apply (zenon_L457_); trivial. % 1.27/1.48 apply (zenon_L517_); trivial. % 1.27/1.48 (* end of lemma zenon_L523_ *) % 1.27/1.48 assert (zenon_L524_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> False). % 1.27/1.48 do 0 intro. intros zenon_H195 zenon_H3d zenon_Ha5 zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H15e zenon_H163 zenon_H7f zenon_H142 zenon_H143 zenon_H144 zenon_H14d zenon_H17f zenon_H13 zenon_H3a zenon_H20f zenon_H21 zenon_H20 zenon_H1f zenon_H75 zenon_H6c zenon_H6d zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H286 zenon_H13a zenon_H21a zenon_H253 zenon_H254 zenon_H11e zenon_H13b zenon_H265 zenon_H15f zenon_H69 zenon_H21f. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.27/1.48 apply (zenon_L458_); trivial. % 1.27/1.48 apply (zenon_L517_); trivial. % 1.27/1.48 (* end of lemma zenon_L524_ *) % 1.27/1.48 assert (zenon_L525_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (c3_1 (a228)) -> (~(c2_1 (a228))) -> (~(c1_1 (a228))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp27))) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (ndr1_0) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.27/1.48 do 0 intro. intros zenon_H21f zenon_H69 zenon_H18a zenon_H188 zenon_H15f zenon_H265 zenon_H26d zenon_H254 zenon_H253 zenon_H252 zenon_H245 zenon_H244 zenon_H243 zenon_H28f zenon_H205 zenon_H13b zenon_H9 zenon_H184 zenon_H11e zenon_H21a zenon_H13a zenon_H27d zenon_H286 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H6d zenon_H6c zenon_H75 zenon_H10 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.27/1.48 apply (zenon_L453_); trivial. % 1.27/1.48 apply (zenon_L499_); trivial. % 1.27/1.48 (* end of lemma zenon_L525_ *) % 1.27/1.48 assert (zenon_L526_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> False). % 1.27/1.48 do 0 intro. intros zenon_H195 zenon_H3d zenon_H1d8 zenon_H3 zenon_H134 zenon_H13 zenon_H3a zenon_H20f zenon_H21 zenon_H20 zenon_H1f zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc zenon_H13a zenon_H21a zenon_H253 zenon_H254 zenon_H11e zenon_H13b zenon_H265 zenon_H15f zenon_H69 zenon_H21f. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.27/1.48 apply (zenon_L510_); trivial. % 1.27/1.48 apply (zenon_L192_); trivial. % 1.27/1.48 (* end of lemma zenon_L526_ *) % 1.27/1.48 assert (zenon_L527_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp20)\/(hskp13))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (ndr1_0) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.27/1.48 do 0 intro. intros zenon_Hb7 zenon_H1a7 zenon_H20f zenon_H122 zenon_H123 zenon_H124 zenon_H1dc zenon_H13a zenon_H21a zenon_H11e zenon_H13b zenon_H21f zenon_H18a zenon_H15f zenon_H265 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H1 zenon_H3 zenon_H15a zenon_H15e zenon_H13 zenon_H134 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8 zenon_H3a zenon_H3d zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H62 zenon_H65 zenon_H69. % 1.27/1.48 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.27/1.48 apply (zenon_L417_); trivial. % 1.27/1.48 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.27/1.48 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.27/1.48 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.27/1.48 apply (zenon_L104_); trivial. % 1.27/1.48 apply (zenon_L437_); trivial. % 1.27/1.48 apply (zenon_L192_); trivial. % 1.27/1.48 apply (zenon_L526_); trivial. % 1.27/1.48 (* end of lemma zenon_L527_ *) % 1.27/1.48 assert (zenon_L528_ : ((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> (~(c0_1 (a243))) -> (~(c1_1 (a243))) -> (~(c2_1 (a243))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> (~(c2_1 (a252))) -> (c1_1 (a252)) -> (~(c3_1 (a252))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> False). % 1.27/1.48 do 0 intro. intros zenon_H64 zenon_H3a zenon_H13a zenon_H211 zenon_H212 zenon_H213 zenon_H265 zenon_H15f zenon_H254 zenon_H253 zenon_H1d8 zenon_H15 zenon_H14 zenon_H16 zenon_H90 zenon_H91 zenon_H8f zenon_H17f zenon_H21a zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H10. zenon_intro zenon_H66. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5a. zenon_intro zenon_H67. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.27/1.48 apply (zenon_L225_); trivial. % 1.27/1.48 apply (zenon_L486_); trivial. % 1.27/1.48 (* end of lemma zenon_L528_ *) % 1.27/1.48 assert (zenon_L529_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> (~(c2_1 (a243))) -> (~(c1_1 (a243))) -> (~(c0_1 (a243))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> False). % 1.27/1.48 do 0 intro. intros zenon_Ha1 zenon_H69 zenon_H3a zenon_H265 zenon_H15f zenon_H1d8 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc zenon_H21a zenon_H17f zenon_H144 zenon_H143 zenon_H142 zenon_H16 zenon_H14 zenon_H15 zenon_H253 zenon_H254 zenon_H11e zenon_H213 zenon_H212 zenon_H211 zenon_H13a. % 1.27/1.48 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.27/1.48 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.27/1.48 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.27/1.48 apply (zenon_L472_); trivial. % 1.27/1.48 apply (zenon_L528_); trivial. % 1.27/1.48 (* end of lemma zenon_L529_ *) % 1.27/1.48 assert (zenon_L530_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a230))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.27/1.48 do 0 intro. intros zenon_H39 zenon_H21f zenon_Ha5 zenon_H1d8 zenon_H11e zenon_H15e zenon_H163 zenon_H15f zenon_H75 zenon_H6d zenon_H6c zenon_H7f zenon_H142 zenon_H143 zenon_H144 zenon_H14d zenon_H21a zenon_H17f zenon_H253 zenon_H254 zenon_H265 zenon_H13a zenon_H69 zenon_H1dc zenon_H124 zenon_H123 zenon_H122 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.27/1.48 apply (zenon_L505_); trivial. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.27/1.48 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.27/1.48 apply (zenon_L516_); trivial. % 1.27/1.48 apply (zenon_L529_); trivial. % 1.27/1.48 (* end of lemma zenon_L530_ *) % 1.27/1.48 assert (zenon_L531_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> (~(c1_1 (a230))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> False). % 1.27/1.48 do 0 intro. intros zenon_H195 zenon_H3d zenon_Ha5 zenon_H1d8 zenon_H15e zenon_H163 zenon_H75 zenon_H6d zenon_H6c zenon_H7f zenon_H142 zenon_H143 zenon_H144 zenon_H14d zenon_H17f zenon_H3a zenon_H20f zenon_H21 zenon_H20 zenon_H1f zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc zenon_H13a zenon_H21a zenon_H253 zenon_H254 zenon_H11e zenon_H13b zenon_H265 zenon_H15f zenon_H69 zenon_H21f. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.27/1.48 apply (zenon_L510_); trivial. % 1.27/1.48 apply (zenon_L530_); trivial. % 1.27/1.48 (* end of lemma zenon_L531_ *) % 1.27/1.48 assert (zenon_L532_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (ndr1_0) -> (~(c0_1 (a229))) -> (c3_1 (a229)) -> (~(hskp14)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> False). % 1.27/1.48 do 0 intro. intros zenon_Heb zenon_H253 zenon_H254 zenon_H10 zenon_Hc8 zenon_Hca zenon_H188 zenon_H9 zenon_H18a. % 1.27/1.48 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.27/1.48 apply (zenon_L128_); trivial. % 1.27/1.48 apply (zenon_L432_); trivial. % 1.27/1.48 (* end of lemma zenon_L532_ *) % 1.27/1.48 assert (zenon_L533_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (c3_1 (a228)) -> (~(c2_1 (a228))) -> (~(c1_1 (a228))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> False). % 1.27/1.48 do 0 intro. intros zenon_H21c zenon_Ha5 zenon_H69 zenon_H265 zenon_H15f zenon_H21a zenon_H17f zenon_H144 zenon_H143 zenon_H142 zenon_H16 zenon_H14 zenon_H15 zenon_H11e zenon_H13a zenon_H26d zenon_H254 zenon_H253 zenon_H252 zenon_H245 zenon_H244 zenon_H243 zenon_H1dc zenon_H124 zenon_H123 zenon_H122 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H184 zenon_H21 zenon_H20 zenon_H1f zenon_H75 zenon_H6c zenon_H6d zenon_H7f zenon_H1d8 zenon_H3a zenon_H27d. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.27/1.48 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.27/1.48 apply (zenon_L514_); trivial. % 1.27/1.48 apply (zenon_L529_); trivial. % 1.27/1.48 (* end of lemma zenon_L533_ *) % 1.27/1.48 assert (zenon_L534_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (c3_1 (a228)) -> (~(c2_1 (a228))) -> (~(c1_1 (a228))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.27/1.48 do 0 intro. intros zenon_H39 zenon_H21f zenon_Ha5 zenon_H69 zenon_H265 zenon_H15f zenon_H21a zenon_H17f zenon_H144 zenon_H143 zenon_H142 zenon_H11e zenon_H13a zenon_H26d zenon_H254 zenon_H253 zenon_H252 zenon_H245 zenon_H244 zenon_H243 zenon_H184 zenon_H75 zenon_H6c zenon_H6d zenon_H7f zenon_H1d8 zenon_H27d zenon_H1dc zenon_H124 zenon_H123 zenon_H122 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.27/1.48 apply (zenon_L505_); trivial. % 1.27/1.48 apply (zenon_L533_); trivial. % 1.27/1.48 (* end of lemma zenon_L534_ *) % 1.27/1.48 assert (zenon_L535_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (c1_1 (a223)) -> (c2_1 (a223)) -> (c3_1 (a223)) -> False). % 1.27/1.48 do 0 intro. intros zenon_H184 zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H20 zenon_H1f zenon_H209 zenon_H10 zenon_H26f zenon_H270 zenon_H271. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H6a | zenon_intro zenon_H185 ]. % 1.27/1.48 apply (zenon_L54_); trivial. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H130 | zenon_intro zenon_H181 ]. % 1.27/1.48 apply (zenon_L263_); trivial. % 1.27/1.48 apply (zenon_L428_); trivial. % 1.27/1.48 (* end of lemma zenon_L535_ *) % 1.27/1.48 assert (zenon_L536_ : ((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a243))) -> (~(c1_1 (a243))) -> (~(c0_1 (a243))) -> (~(c0_1 (a229))) -> (c3_1 (a229)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> False). % 1.27/1.48 do 0 intro. intros zenon_H11d zenon_H21a zenon_H213 zenon_H212 zenon_H211 zenon_Hc8 zenon_Hca zenon_H253 zenon_H254 zenon_Heb. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.27/1.48 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.27/1.48 apply (zenon_L269_); trivial. % 1.27/1.48 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.27/1.48 apply (zenon_L476_); trivial. % 1.27/1.48 apply (zenon_L87_); trivial. % 1.27/1.48 (* end of lemma zenon_L536_ *) % 1.27/1.48 assert (zenon_L537_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a228))) -> (~(c2_1 (a228))) -> (c3_1 (a228)) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H21c zenon_H27d zenon_H13a zenon_H184 zenon_H20 zenon_H1f zenon_Hca zenon_Hc9 zenon_Hc8 zenon_Heb zenon_H17f zenon_H144 zenon_H143 zenon_H142 zenon_H16 zenon_H14 zenon_H15 zenon_H21a zenon_H243 zenon_H244 zenon_H245 zenon_H252 zenon_H253 zenon_H254 zenon_H26d. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H26b | zenon_intro zenon_H278 ]. % 1.30/1.49 apply (zenon_L450_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H27a. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H26f. zenon_intro zenon_H27b. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H270. zenon_intro zenon_H271. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.30/1.49 apply (zenon_L535_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.30/1.49 apply (zenon_L476_); trivial. % 1.30/1.49 apply (zenon_L471_); trivial. % 1.30/1.49 apply (zenon_L536_); trivial. % 1.30/1.49 (* end of lemma zenon_L537_ *) % 1.30/1.49 assert (zenon_L538_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a228))) -> (~(c2_1 (a228))) -> (c3_1 (a228)) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H39 zenon_H21f zenon_H27d zenon_H13a zenon_H184 zenon_Hca zenon_Hc9 zenon_Hc8 zenon_Heb zenon_H17f zenon_H144 zenon_H143 zenon_H142 zenon_H21a zenon_H243 zenon_H244 zenon_H245 zenon_H252 zenon_H253 zenon_H254 zenon_H26d zenon_H1dc zenon_H124 zenon_H123 zenon_H122 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.30/1.49 apply (zenon_L505_); trivial. % 1.30/1.49 apply (zenon_L537_); trivial. % 1.30/1.49 (* end of lemma zenon_L538_ *) % 1.30/1.49 assert (zenon_L539_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a229))) -> (c3_1 (a229)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H21c zenon_H13a zenon_H21a zenon_Hc8 zenon_Hca zenon_H253 zenon_H254 zenon_Heb zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.30/1.49 apply (zenon_L136_); trivial. % 1.30/1.49 apply (zenon_L536_); trivial. % 1.30/1.49 (* end of lemma zenon_L539_ *) % 1.30/1.49 assert (zenon_L540_ : ((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (c3_1 (a228)) -> (~(c2_1 (a228))) -> (~(c1_1 (a228))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp20)\/(hskp13))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_Hf2 zenon_Hb7 zenon_H1a7 zenon_H13b zenon_Heb zenon_H18a zenon_H3a zenon_H20f zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc zenon_H26d zenon_H245 zenon_H244 zenon_H243 zenon_H21a zenon_H142 zenon_H143 zenon_H144 zenon_H17f zenon_H184 zenon_H13a zenon_H27d zenon_H21f zenon_H3d zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H62 zenon_H65 zenon_H69. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.30/1.49 apply (zenon_L417_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.30/1.49 apply (zenon_L532_); trivial. % 1.30/1.49 apply (zenon_L538_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.30/1.49 apply (zenon_L505_); trivial. % 1.30/1.49 apply (zenon_L539_); trivial. % 1.30/1.49 apply (zenon_L538_); trivial. % 1.30/1.49 (* end of lemma zenon_L540_ *) % 1.30/1.49 assert (zenon_L541_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp14)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> (ndr1_0) -> False). % 1.30/1.49 do 0 intro. intros zenon_Heb zenon_H253 zenon_H254 zenon_H188 zenon_H9 zenon_H18a zenon_H1ad zenon_H1ac zenon_H1ab zenon_H10. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.30/1.49 apply (zenon_L148_); trivial. % 1.30/1.49 apply (zenon_L432_); trivial. % 1.30/1.49 (* end of lemma zenon_L541_ *) % 1.30/1.49 assert (zenon_L542_ : ((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H34 zenon_Heb zenon_H253 zenon_H254 zenon_H5 zenon_H186 zenon_H1ad zenon_H1ac zenon_H1ab. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.30/1.49 apply (zenon_L148_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16a | zenon_intro zenon_H187 ]. % 1.30/1.49 apply (zenon_L419_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H7a | zenon_intro zenon_H6 ]. % 1.30/1.49 apply (zenon_L68_); trivial. % 1.30/1.49 exact (zenon_H5 zenon_H6). % 1.30/1.49 (* end of lemma zenon_L542_ *) % 1.30/1.49 assert (zenon_L543_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H39 zenon_H3a zenon_Heb zenon_H253 zenon_H254 zenon_H5 zenon_H186 zenon_H1ad zenon_H1ac zenon_H1ab zenon_H13. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.30/1.49 apply (zenon_L10_); trivial. % 1.30/1.49 apply (zenon_L542_); trivial. % 1.30/1.49 (* end of lemma zenon_L543_ *) % 1.30/1.49 assert (zenon_L544_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (ndr1_0) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp14)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H3d zenon_H3a zenon_H5 zenon_H186 zenon_H13 zenon_H10 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H18a zenon_H188 zenon_H254 zenon_H253 zenon_Heb. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.30/1.49 apply (zenon_L541_); trivial. % 1.30/1.49 apply (zenon_L543_); trivial. % 1.30/1.49 (* end of lemma zenon_L544_ *) % 1.30/1.49 assert (zenon_L545_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> (ndr1_0) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (~(hskp13)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H1a7 zenon_H1bd zenon_H1b4 zenon_Heb zenon_H253 zenon_H254 zenon_H18a zenon_H1ad zenon_H1ac zenon_H1ab zenon_H10 zenon_H13 zenon_H186 zenon_H5 zenon_H3a zenon_H3d. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.30/1.49 apply (zenon_L544_); trivial. % 1.30/1.49 apply (zenon_L327_); trivial. % 1.30/1.49 (* end of lemma zenon_L545_ *) % 1.30/1.49 assert (zenon_L546_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> (ndr1_0) -> False). % 1.30/1.49 do 0 intro. intros zenon_Heb zenon_H254 zenon_H253 zenon_H16a zenon_H1ad zenon_H1ac zenon_H1ab zenon_H10. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.30/1.49 apply (zenon_L148_); trivial. % 1.30/1.49 apply (zenon_L419_); trivial. % 1.30/1.49 (* end of lemma zenon_L546_ *) % 1.30/1.49 assert (zenon_L547_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H291 zenon_H1ad zenon_H1ac zenon_H1ab zenon_H16 zenon_H14 zenon_H15 zenon_H10b zenon_H10 zenon_H252 zenon_H253 zenon_H254. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_Hdc | zenon_intro zenon_H292 ]. % 1.30/1.49 apply (zenon_L148_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H16e | zenon_intro zenon_H251 ]. % 1.30/1.49 apply (zenon_L115_); trivial. % 1.30/1.49 apply (zenon_L415_); trivial. % 1.30/1.49 (* end of lemma zenon_L547_ *) % 1.30/1.49 assert (zenon_L548_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H21c zenon_H21a zenon_Heb zenon_H291 zenon_H1ad zenon_H1ac zenon_H1ab zenon_H16 zenon_H14 zenon_H15 zenon_H252 zenon_H253 zenon_H254. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.30/1.49 apply (zenon_L269_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.30/1.49 apply (zenon_L546_); trivial. % 1.30/1.49 apply (zenon_L547_); trivial. % 1.30/1.49 (* end of lemma zenon_L548_ *) % 1.30/1.49 assert (zenon_L549_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a213))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H39 zenon_H21f zenon_H21a zenon_H252 zenon_H291 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H253 zenon_H254 zenon_Heb zenon_H13 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.30/1.49 apply (zenon_L418_); trivial. % 1.30/1.49 apply (zenon_L548_); trivial. % 1.30/1.49 (* end of lemma zenon_L549_ *) % 1.30/1.49 assert (zenon_L550_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a213))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> (ndr1_0) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp14)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H3d zenon_H21f zenon_H21a zenon_H252 zenon_H291 zenon_H13 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a zenon_H10 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H18a zenon_H188 zenon_H254 zenon_H253 zenon_Heb. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.30/1.49 apply (zenon_L541_); trivial. % 1.30/1.49 apply (zenon_L549_); trivial. % 1.30/1.49 (* end of lemma zenon_L550_ *) % 1.30/1.49 assert (zenon_L551_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(hskp7)) -> (~(hskp11)) -> ((hskp15)\/((hskp7)\/(hskp11))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H3d zenon_H3a zenon_Heb zenon_H253 zenon_H254 zenon_H5 zenon_H186 zenon_H1ad zenon_H1ac zenon_H1ab zenon_H13 zenon_Hb zenon_H3 zenon_Hd. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.30/1.49 apply (zenon_L7_); trivial. % 1.30/1.49 apply (zenon_L543_); trivial. % 1.30/1.49 (* end of lemma zenon_L551_ *) % 1.30/1.49 assert (zenon_L552_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a213))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((hskp15)\/((hskp7)\/(hskp11))) -> (~(hskp11)) -> (~(hskp7)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_Hb7 zenon_H21f zenon_H21a zenon_H252 zenon_H291 zenon_H20f zenon_Hd zenon_H3 zenon_Hb zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H186 zenon_H254 zenon_H253 zenon_Heb zenon_H3a zenon_H3d. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.30/1.49 apply (zenon_L551_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.30/1.49 apply (zenon_L7_); trivial. % 1.30/1.49 apply (zenon_L549_); trivial. % 1.30/1.49 (* end of lemma zenon_L552_ *) % 1.30/1.49 assert (zenon_L553_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> (ndr1_0) -> False). % 1.30/1.49 do 0 intro. intros zenon_Heb zenon_H253 zenon_H254 zenon_H75 zenon_H6c zenon_H6d zenon_H5 zenon_H186 zenon_H1ad zenon_H1ac zenon_H1ab zenon_H10. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.30/1.49 apply (zenon_L148_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16a | zenon_intro zenon_H187 ]. % 1.30/1.49 apply (zenon_L419_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H7a | zenon_intro zenon_H6 ]. % 1.30/1.49 apply (zenon_L31_); trivial. % 1.30/1.49 exact (zenon_H5 zenon_H6). % 1.30/1.49 (* end of lemma zenon_L553_ *) % 1.30/1.49 assert (zenon_L554_ : ((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a243))) -> (~(c1_1 (a243))) -> (~(c0_1 (a243))) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H11d zenon_H21a zenon_H213 zenon_H212 zenon_H211 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H253 zenon_H254 zenon_Heb. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.30/1.49 apply (zenon_L269_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.30/1.49 apply (zenon_L546_); trivial. % 1.30/1.49 apply (zenon_L87_); trivial. % 1.30/1.49 (* end of lemma zenon_L554_ *) % 1.30/1.49 assert (zenon_L555_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H21c zenon_H13a zenon_H21a zenon_H1ab zenon_H1ac zenon_H1ad zenon_H253 zenon_H254 zenon_Heb zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.30/1.49 apply (zenon_L136_); trivial. % 1.30/1.49 apply (zenon_L554_); trivial. % 1.30/1.49 (* end of lemma zenon_L555_ *) % 1.30/1.49 assert (zenon_L556_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a228))) -> (~(c2_1 (a228))) -> (c3_1 (a228)) -> (~(hskp27)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H13a zenon_H21a zenon_H1ab zenon_H1ac zenon_H1ad zenon_H253 zenon_H254 zenon_Heb zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H243 zenon_H244 zenon_H245 zenon_H11 zenon_H1dc zenon_H10 zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.30/1.49 apply (zenon_L136_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.30/1.49 apply (zenon_L406_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.30/1.49 apply (zenon_L546_); trivial. % 1.30/1.49 apply (zenon_L87_); trivial. % 1.30/1.49 (* end of lemma zenon_L556_ *) % 1.30/1.49 assert (zenon_L557_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a228))) -> (~(c2_1 (a228))) -> (c3_1 (a228)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> (ndr1_0) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (~(hskp13)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H1a7 zenon_H13a zenon_H21a zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H243 zenon_H244 zenon_H245 zenon_H1dc zenon_H13b zenon_Heb zenon_H253 zenon_H254 zenon_H18a zenon_H1ad zenon_H1ac zenon_H1ab zenon_H10 zenon_H13 zenon_H186 zenon_H5 zenon_H3a zenon_H3d. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.30/1.49 apply (zenon_L544_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.30/1.49 apply (zenon_L556_); trivial. % 1.30/1.49 apply (zenon_L542_); trivial. % 1.30/1.49 apply (zenon_L543_); trivial. % 1.30/1.49 (* end of lemma zenon_L557_ *) % 1.30/1.49 assert (zenon_L558_ : ((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a228)) -> (~(c2_1 (a228))) -> (~(c1_1 (a228))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a213))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_Hb3 zenon_H1a7 zenon_H13b zenon_H1dc zenon_H245 zenon_H244 zenon_H243 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H13a zenon_Heb zenon_H253 zenon_H254 zenon_H18a zenon_H1ad zenon_H1ac zenon_H1ab zenon_H3a zenon_H20f zenon_H13 zenon_H291 zenon_H252 zenon_H21a zenon_H21f zenon_H3d. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.30/1.49 apply (zenon_L550_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.30/1.49 apply (zenon_L556_); trivial. % 1.30/1.49 apply (zenon_L268_); trivial. % 1.30/1.49 apply (zenon_L555_); trivial. % 1.30/1.49 apply (zenon_L549_); trivial. % 1.30/1.49 (* end of lemma zenon_L558_ *) % 1.30/1.49 assert (zenon_L559_ : ((ndr1_0)/\((c3_1 (a228))/\((~(c1_1 (a228)))/\(~(c2_1 (a228)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a213))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H283 zenon_Hb7 zenon_H20f zenon_H291 zenon_H252 zenon_H21f zenon_H3d zenon_H3a zenon_H186 zenon_H13 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H18a zenon_H254 zenon_H253 zenon_Heb zenon_H13b zenon_H1dc zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H21a zenon_H13a zenon_H1a7. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H10. zenon_intro zenon_H284. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H245. zenon_intro zenon_H285. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.30/1.49 apply (zenon_L557_); trivial. % 1.30/1.49 apply (zenon_L558_); trivial. % 1.30/1.49 (* end of lemma zenon_L559_ *) % 1.30/1.49 assert (zenon_L560_ : ((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a213))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_Hb3 zenon_H1a7 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc zenon_H13b zenon_H13a zenon_Heb zenon_H253 zenon_H254 zenon_H18a zenon_H1ad zenon_H1ac zenon_H1ab zenon_H3a zenon_H20f zenon_H13 zenon_H291 zenon_H252 zenon_H21a zenon_H21f zenon_H3d. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.30/1.49 apply (zenon_L550_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.30/1.49 apply (zenon_L505_); trivial. % 1.30/1.49 apply (zenon_L555_); trivial. % 1.30/1.49 apply (zenon_L549_); trivial. % 1.30/1.49 (* end of lemma zenon_L560_ *) % 1.30/1.49 assert (zenon_L561_ : ((ndr1_0)/\((c0_1 (a224))/\((c3_1 (a224))/\(~(c1_1 (a224)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a213))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H1a8 zenon_Hb7 zenon_H1a7 zenon_H13b zenon_H13a zenon_H18a zenon_H20f zenon_H13 zenon_H291 zenon_H252 zenon_H21a zenon_H21f zenon_H3d zenon_H1dc zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H1ab zenon_H1ac zenon_H1ad zenon_H186 zenon_H254 zenon_H253 zenon_Heb zenon_H3a. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.30/1.49 apply (zenon_L225_); trivial. % 1.30/1.49 apply (zenon_L542_); trivial. % 1.30/1.49 apply (zenon_L560_); trivial. % 1.30/1.49 (* end of lemma zenon_L561_ *) % 1.30/1.49 assert (zenon_L562_ : ((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> (~(hskp3)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H159 zenon_H163 zenon_H1ad zenon_H1ac zenon_H1ab zenon_H15f. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H10. zenon_intro zenon_H15b. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H152. zenon_intro zenon_H15c. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hdc | zenon_intro zenon_H164 ]. % 1.30/1.49 apply (zenon_L148_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H14f | zenon_intro zenon_H160 ]. % 1.30/1.49 apply (zenon_L102_); trivial. % 1.30/1.49 exact (zenon_H15f zenon_H160). % 1.30/1.49 (* end of lemma zenon_L562_ *) % 1.30/1.49 assert (zenon_L563_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> (ndr1_0) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> (~(hskp20)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H15e zenon_H163 zenon_H15f zenon_H1ad zenon_H1ac zenon_H1ab zenon_H10 zenon_H142 zenon_H143 zenon_H144 zenon_H3e zenon_H14d. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14b | zenon_intro zenon_H159 ]. % 1.30/1.49 apply (zenon_L101_); trivial. % 1.30/1.49 apply (zenon_L562_); trivial. % 1.30/1.49 (* end of lemma zenon_L563_ *) % 1.30/1.49 assert (zenon_L564_ : ((ndr1_0)/\((c3_1 (a218))/\((~(c0_1 (a218)))/\(~(c1_1 (a218)))))) -> ((~(hskp5))\/((ndr1_0)/\((c2_1 (a220))/\((~(c0_1 (a220)))/\(~(c3_1 (a220))))))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a221))/\((c1_1 (a221))/\(~(c2_1 (a221))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a228))/\((~(c1_1 (a228)))/\(~(c2_1 (a228))))))) -> ((hskp15)\/((hskp7)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(hskp9))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a224))/\((c3_1 (a224))/\(~(c1_1 (a224))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a213))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> False). % 1.30/1.49 do 0 intro. intros zenon_H226 zenon_H1e7 zenon_H1e8 zenon_H15e zenon_H163 zenon_H15f zenon_H14d zenon_H28b zenon_Hd zenon_H13a zenon_H13b zenon_H69 zenon_H241 zenon_H44 zenon_Hd1 zenon_H1dc zenon_H1d8 zenon_H57 zenon_Hb4 zenon_Hf1 zenon_H1a6 zenon_H1a7 zenon_H1bd zenon_Heb zenon_H253 zenon_H254 zenon_H18a zenon_H13 zenon_H186 zenon_H3a zenon_H3d zenon_H21f zenon_H21a zenon_H252 zenon_H291 zenon_H20f zenon_Hb7. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H10. zenon_intro zenon_H227. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ad. zenon_intro zenon_H228. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1e9 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.30/1.49 apply (zenon_L545_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.30/1.49 apply (zenon_L550_); trivial. % 1.30/1.49 apply (zenon_L327_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H10. zenon_intro zenon_H1ea. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d1. zenon_intro zenon_H1eb. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1cf. zenon_intro zenon_H1d0. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H8b | zenon_intro zenon_H1e4 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H23f | zenon_intro zenon_H283 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.30/1.49 apply (zenon_L552_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.30/1.49 apply (zenon_L553_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.30/1.49 apply (zenon_L550_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.30/1.49 apply (zenon_L491_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.30/1.49 apply (zenon_L197_); trivial. % 1.30/1.49 apply (zenon_L268_); trivial. % 1.30/1.49 apply (zenon_L555_); trivial. % 1.30/1.49 apply (zenon_L549_); trivial. % 1.30/1.49 apply (zenon_L559_); trivial. % 1.30/1.49 apply (zenon_L561_); trivial. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H10. zenon_intro zenon_H1e5. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H143. zenon_intro zenon_H1e6. % 1.30/1.49 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H144. zenon_intro zenon_H142. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H23f | zenon_intro zenon_H283 ]. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.30/1.49 apply (zenon_L563_); trivial. % 1.30/1.49 apply (zenon_L482_); trivial. % 1.30/1.49 apply (zenon_L559_); trivial. % 1.30/1.49 (* end of lemma zenon_L564_ *) % 1.30/1.49 assert (zenon_L565_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (ndr1_0) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> (~(hskp14)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> False). % 1.30/1.49 do 0 intro. intros zenon_Heb zenon_H253 zenon_H254 zenon_H10 zenon_H1ec zenon_H1ed zenon_H188 zenon_H9 zenon_H18a. % 1.30/1.49 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.30/1.49 apply (zenon_L238_); trivial. % 1.30/1.49 apply (zenon_L432_); trivial. % 1.30/1.49 (* end of lemma zenon_L565_ *) % 1.30/1.49 assert (zenon_L566_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H293 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H20 zenon_H1f zenon_H209 zenon_H10 zenon_H252 zenon_H253 zenon_H254. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H294 ]. % 1.30/1.49 apply (zenon_L246_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H130 | zenon_intro zenon_H251 ]. % 1.30/1.49 apply (zenon_L263_); trivial. % 1.30/1.49 apply (zenon_L415_); trivial. % 1.30/1.49 (* end of lemma zenon_L566_ *) % 1.30/1.49 assert (zenon_L567_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (ndr1_0) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H293 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H21 zenon_H20 zenon_H1f zenon_H46 zenon_H10 zenon_H252 zenon_H253 zenon_H254. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H294 ]. % 1.30/1.49 apply (zenon_L246_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H130 | zenon_intro zenon_H251 ]. % 1.30/1.49 apply (zenon_L188_); trivial. % 1.30/1.49 apply (zenon_L415_); trivial. % 1.30/1.49 (* end of lemma zenon_L567_ *) % 1.30/1.49 assert (zenon_L568_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(c2_1 (a213))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(hskp7)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H220 zenon_H252 zenon_H1f zenon_H20 zenon_H21 zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H293 zenon_H254 zenon_H253 zenon_H16a zenon_H10 zenon_Hb. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H46 | zenon_intro zenon_H221 ]. % 1.30/1.49 apply (zenon_L567_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_He0 | zenon_intro zenon_Hc ]. % 1.30/1.49 apply (zenon_L419_); trivial. % 1.30/1.49 exact (zenon_Hb zenon_Hc). % 1.30/1.49 (* end of lemma zenon_L568_ *) % 1.30/1.49 assert (zenon_L569_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> (~(c2_1 (a247))) -> (c3_1 (a247)) -> (c0_1 (a247)) -> (forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15)))))) -> (ndr1_0) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> False). % 1.30/1.49 do 0 intro. intros zenon_H293 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H82 zenon_H84 zenon_H83 zenon_He0 zenon_H10 zenon_H252 zenon_H253 zenon_H254. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H294 ]. % 1.30/1.49 apply (zenon_L246_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H130 | zenon_intro zenon_H251 ]. % 1.30/1.49 apply (zenon_L117_); trivial. % 1.30/1.49 apply (zenon_L415_); trivial. % 1.30/1.49 (* end of lemma zenon_L569_ *) % 1.30/1.49 assert (zenon_L570_ : ((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp7)) -> False). % 1.30/1.49 do 0 intro. intros zenon_Ha4 zenon_H220 zenon_H1f zenon_H20 zenon_H21 zenon_H254 zenon_H253 zenon_H252 zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H293 zenon_Hb. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.30/1.49 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H46 | zenon_intro zenon_H221 ]. % 1.30/1.49 apply (zenon_L567_); trivial. % 1.30/1.49 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_He0 | zenon_intro zenon_Hc ]. % 1.30/1.49 apply (zenon_L569_); trivial. % 1.30/1.49 exact (zenon_Hb zenon_Hc). % 1.30/1.49 (* end of lemma zenon_L570_ *) % 1.30/1.49 assert (zenon_L571_ : ((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c2_1 (a216))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp5)) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> False). % 1.30/1.51 do 0 intro. intros zenon_H11d zenon_H21a zenon_H254 zenon_H253 zenon_H252 zenon_H1f zenon_H20 zenon_H1f9 zenon_H293 zenon_H1b4 zenon_H18c zenon_H18d zenon_H18e zenon_H1ec zenon_H1ed zenon_H1bd. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.30/1.51 apply (zenon_L566_); trivial. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.30/1.51 apply (zenon_L270_); trivial. % 1.30/1.51 apply (zenon_L87_); trivial. % 1.30/1.51 (* end of lemma zenon_L571_ *) % 1.30/1.51 assert (zenon_L572_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (ndr1_0) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> False). % 1.30/1.51 do 0 intro. intros zenon_H13a zenon_H21a zenon_H1b4 zenon_H1bd zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H1f zenon_H20 zenon_H252 zenon_H253 zenon_H254 zenon_H293 zenon_H10 zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.30/1.51 apply (zenon_L136_); trivial. % 1.30/1.51 apply (zenon_L571_); trivial. % 1.30/1.51 (* end of lemma zenon_L572_ *) % 1.30/1.51 assert (zenon_L573_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(c2_1 (a216))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp20)\/(hskp13))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (ndr1_0) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.30/1.51 do 0 intro. intros zenon_Hb7 zenon_H1a7 zenon_H13b zenon_H1bd zenon_H1b4 zenon_H13a zenon_Heb zenon_H1ec zenon_H1ed zenon_H18a zenon_H21a zenon_H263 zenon_Hb zenon_H220 zenon_H1f9 zenon_H293 zenon_Hb4 zenon_H3d zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H62 zenon_H65 zenon_H69. % 1.30/1.51 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.30/1.51 apply (zenon_L417_); trivial. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.30/1.51 apply (zenon_L565_); trivial. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.30/1.51 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.30/1.51 apply (zenon_L566_); trivial. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.30/1.51 apply (zenon_L568_); trivial. % 1.30/1.51 apply (zenon_L421_); trivial. % 1.30/1.51 apply (zenon_L570_); trivial. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.30/1.51 apply (zenon_L572_); trivial. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.30/1.51 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.30/1.51 apply (zenon_L566_); trivial. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.30/1.51 apply (zenon_L270_); trivial. % 1.30/1.51 apply (zenon_L421_); trivial. % 1.30/1.51 apply (zenon_L570_); trivial. % 1.30/1.51 (* end of lemma zenon_L573_ *) % 1.30/1.51 assert (zenon_L574_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> (~(hskp19)) -> (~(c1_1 (a224))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (ndr1_0) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> False). % 1.30/1.51 do 0 intro. intros zenon_H293 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H7d zenon_H122 zenon_H124 zenon_H123 zenon_H7f zenon_H10 zenon_H252 zenon_H253 zenon_H254. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H294 ]. % 1.30/1.51 apply (zenon_L246_); trivial. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H130 | zenon_intro zenon_H251 ]. % 1.30/1.51 apply (zenon_L93_); trivial. % 1.30/1.51 apply (zenon_L415_); trivial. % 1.30/1.51 (* end of lemma zenon_L574_ *) % 1.30/1.51 assert (zenon_L575_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (c3_1 (a216)) -> (~(c0_1 (a216))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> False). % 1.30/1.51 do 0 intro. intros zenon_Heb zenon_H254 zenon_H253 zenon_H1ed zenon_H1ec zenon_H10 zenon_H16a. % 1.30/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.30/1.51 apply (zenon_L237_); trivial. % 1.30/1.51 apply (zenon_L419_); trivial. % 1.30/1.51 (* end of lemma zenon_L575_ *) % 1.30/1.51 assert (zenon_L576_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a243))) -> (~(c1_1 (a243))) -> (~(c0_1 (a243))) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> (~(hskp28)) -> (ndr1_0) -> (~(c2_1 (a252))) -> (c1_1 (a252)) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (~(hskp1)) -> (~(hskp9)) -> False). % 1.30/1.51 do 0 intro. intros zenon_H21a zenon_H213 zenon_H212 zenon_H211 zenon_H1ec zenon_H1ed zenon_H253 zenon_H254 zenon_Heb zenon_H27e zenon_H109 zenon_H10 zenon_H90 zenon_H91 zenon_H15 zenon_H14 zenon_H16 zenon_H17f zenon_H205 zenon_H23f. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.30/1.51 apply (zenon_L269_); trivial. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.30/1.51 apply (zenon_L575_); trivial. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H14f | zenon_intro zenon_H27f ]. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H16e | zenon_intro zenon_H180 ]. % 1.30/1.51 apply (zenon_L115_); trivial. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H141 | zenon_intro zenon_H10a ]. % 1.30/1.51 apply (zenon_L300_); trivial. % 1.30/1.51 exact (zenon_H109 zenon_H10a). % 1.30/1.51 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H206 | zenon_intro zenon_H240 ]. % 1.30/1.51 exact (zenon_H205 zenon_H206). % 1.30/1.51 exact (zenon_H23f zenon_H240). % 1.30/1.51 (* end of lemma zenon_L576_ *) % 1.30/1.51 assert (zenon_L577_ : ((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a243))) -> (~(c1_1 (a243))) -> (~(c0_1 (a243))) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> False). % 1.30/1.51 do 0 intro. intros zenon_H11d zenon_H21a zenon_H213 zenon_H212 zenon_H211 zenon_H1ec zenon_H1ed zenon_H253 zenon_H254 zenon_Heb. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.30/1.51 apply (zenon_L269_); trivial. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.30/1.51 apply (zenon_L575_); trivial. % 1.30/1.51 apply (zenon_L87_); trivial. % 1.30/1.51 (* end of lemma zenon_L577_ *) % 1.30/1.51 assert (zenon_L578_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> (~(c0_1 (a243))) -> (~(c1_1 (a243))) -> (~(c2_1 (a243))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (c3_1 (a216)) -> (~(c0_1 (a216))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False). % 1.30/1.51 do 0 intro. intros zenon_Ha1 zenon_H13a zenon_H211 zenon_H212 zenon_H213 zenon_Heb zenon_H254 zenon_H253 zenon_H1ed zenon_H1ec zenon_H27e zenon_H23f zenon_H205 zenon_H15 zenon_H14 zenon_H16 zenon_H17f zenon_H21a. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.30/1.51 apply (zenon_L576_); trivial. % 1.30/1.51 apply (zenon_L577_); trivial. % 1.30/1.51 (* end of lemma zenon_L578_ *) % 1.30/1.51 assert (zenon_L579_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> False). % 1.30/1.51 do 0 intro. intros zenon_H21c zenon_Ha5 zenon_H13a zenon_Heb zenon_H27e zenon_H23f zenon_H205 zenon_H15 zenon_H14 zenon_H16 zenon_H17f zenon_H21a zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H7f zenon_H124 zenon_H123 zenon_H122 zenon_H252 zenon_H253 zenon_H254 zenon_H293. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.30/1.51 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.30/1.51 apply (zenon_L574_); trivial. % 1.30/1.51 apply (zenon_L578_); trivial. % 1.30/1.51 (* end of lemma zenon_L579_ *) % 1.30/1.51 assert (zenon_L580_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(c2_1 (a216))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c2_1 (a213))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a243))) -> (~(c1_1 (a243))) -> (~(c2_1 (a243))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (c3_1 (a216)) -> (~(c0_1 (a216))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False). % 1.30/1.51 do 0 intro. intros zenon_Ha1 zenon_H13a zenon_H18c zenon_H18d zenon_H18e zenon_H1b4 zenon_H1bd zenon_H1f9 zenon_H1f zenon_H20 zenon_H252 zenon_H293 zenon_H211 zenon_H212 zenon_H213 zenon_Heb zenon_H254 zenon_H253 zenon_H1ed zenon_H1ec zenon_H27e zenon_H23f zenon_H205 zenon_H15 zenon_H14 zenon_H16 zenon_H17f zenon_H21a. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.30/1.51 apply (zenon_L576_); trivial. % 1.30/1.51 apply (zenon_L571_); trivial. % 1.30/1.51 (* end of lemma zenon_L580_ *) % 1.30/1.51 assert (zenon_L581_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(c2_1 (a216))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c2_1 (a213))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (c3_1 (a216)) -> (~(c0_1 (a216))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (~(c3_1 (a238))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.30/1.51 do 0 intro. intros zenon_H21c zenon_Ha5 zenon_H13a zenon_H18c zenon_H18d zenon_H18e zenon_H1b4 zenon_H1bd zenon_H1f9 zenon_H1f zenon_H20 zenon_H252 zenon_H293 zenon_Heb zenon_H254 zenon_H253 zenon_H1ed zenon_H1ec zenon_H27e zenon_H23f zenon_H205 zenon_H17f zenon_H21a zenon_H13 zenon_H14 zenon_H15 zenon_H16 zenon_H7f zenon_H124 zenon_H123 zenon_H122 zenon_H3 zenon_H134 zenon_H3a. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.30/1.51 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.30/1.51 apply (zenon_L299_); trivial. % 1.30/1.51 apply (zenon_L580_); trivial. % 1.30/1.51 (* end of lemma zenon_L581_ *) % 1.30/1.51 assert (zenon_L582_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a243))) -> (~(c1_1 (a243))) -> (~(c0_1 (a243))) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.30/1.51 do 0 intro. intros zenon_H21a zenon_H213 zenon_H212 zenon_H211 zenon_H1ec zenon_H1ed zenon_Heb zenon_H263 zenon_H16 zenon_H14 zenon_H15 zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H40. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.30/1.51 apply (zenon_L269_); trivial. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.30/1.51 apply (zenon_L575_); trivial. % 1.30/1.51 apply (zenon_L421_); trivial. % 1.30/1.51 (* end of lemma zenon_L582_ *) % 1.30/1.51 assert (zenon_L583_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp1)\/(hskp9))) -> (~(hskp9)) -> (~(hskp1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (c3_1 (a216)) -> (~(c0_1 (a216))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> (~(c2_1 (a213))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False). % 1.30/1.51 do 0 intro. intros zenon_H21c zenon_Hb4 zenon_Ha5 zenon_H13a zenon_H27e zenon_H23f zenon_H205 zenon_H17f zenon_H7f zenon_H6d zenon_H6c zenon_H75 zenon_H8b zenon_H8d zenon_Heb zenon_H254 zenon_H253 zenon_H1ed zenon_H1ec zenon_H263 zenon_H252 zenon_H16 zenon_H14 zenon_H15 zenon_H21a. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.30/1.51 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.30/1.51 apply (zenon_L582_); trivial. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.30/1.51 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.30/1.51 apply (zenon_L36_); trivial. % 1.30/1.51 apply (zenon_L578_); trivial. % 1.30/1.51 (* end of lemma zenon_L583_ *) % 1.30/1.51 assert (zenon_L584_ : ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X))))) -> (ndr1_0) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> False). % 1.30/1.51 do 0 intro. intros zenon_H293 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H21 zenon_H20 zenon_H1f zenon_Hb8 zenon_H10 zenon_H252 zenon_H253 zenon_H254. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H294 ]. % 1.30/1.51 apply (zenon_L246_); trivial. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H130 | zenon_intro zenon_H251 ]. % 1.30/1.51 apply (zenon_L496_); trivial. % 1.30/1.51 apply (zenon_L415_); trivial. % 1.30/1.51 (* end of lemma zenon_L584_ *) % 1.30/1.51 assert (zenon_L585_ : ((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223))))) -> ((forall X : zenon_U, ((ndr1_0)->((c0_1 X)\/((c1_1 X)\/(c3_1 X)))))\/((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/(hskp1))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp1)) -> False). % 1.30/1.51 do 0 intro. intros zenon_H278 zenon_H28f zenon_H254 zenon_H253 zenon_H252 zenon_H1f zenon_H20 zenon_H21 zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H293 zenon_H205. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H27a. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H26f. zenon_intro zenon_H27b. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H270. zenon_intro zenon_H271. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H290 ]. % 1.30/1.51 apply (zenon_L584_); trivial. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H181 | zenon_intro zenon_H206 ]. % 1.30/1.51 apply (zenon_L428_); trivial. % 1.30/1.51 exact (zenon_H205 zenon_H206). % 1.30/1.51 (* end of lemma zenon_L585_ *) % 1.30/1.51 assert (zenon_L586_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a213))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c2_1 (a216))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.30/1.51 do 0 intro. intros zenon_H21a zenon_H252 zenon_H1f zenon_H20 zenon_H1f9 zenon_H293 zenon_H1ec zenon_H1ed zenon_H253 zenon_H254 zenon_Heb zenon_H17f zenon_H16 zenon_H14 zenon_H15 zenon_H144 zenon_H143 zenon_H142 zenon_H10 zenon_H109. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.30/1.51 apply (zenon_L566_); trivial. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.30/1.51 apply (zenon_L575_); trivial. % 1.30/1.51 apply (zenon_L471_); trivial. % 1.30/1.51 (* end of lemma zenon_L586_ *) % 1.30/1.51 assert (zenon_L587_ : ((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a213))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c2_1 (a216))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> False). % 1.30/1.51 do 0 intro. intros zenon_H11d zenon_H21a zenon_H252 zenon_H1f zenon_H20 zenon_H1f9 zenon_H293 zenon_H1ec zenon_H1ed zenon_H253 zenon_H254 zenon_Heb. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.30/1.51 apply (zenon_L566_); trivial. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.30/1.51 apply (zenon_L575_); trivial. % 1.30/1.51 apply (zenon_L87_); trivial. % 1.30/1.51 (* end of lemma zenon_L587_ *) % 1.30/1.51 assert (zenon_L588_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c2_1 (a216))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (~(hskp5)) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.30/1.51 do 0 intro. intros zenon_H21a zenon_H254 zenon_H253 zenon_H252 zenon_H1f zenon_H20 zenon_H1f9 zenon_H293 zenon_H1b4 zenon_H18c zenon_H18d zenon_H18e zenon_H1ec zenon_H1ed zenon_H1bd zenon_H17f zenon_H16 zenon_H14 zenon_H15 zenon_H144 zenon_H143 zenon_H142 zenon_H10 zenon_H109. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.30/1.51 apply (zenon_L566_); trivial. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.30/1.51 apply (zenon_L270_); trivial. % 1.30/1.51 apply (zenon_L471_); trivial. % 1.30/1.51 (* end of lemma zenon_L588_ *) % 1.30/1.51 assert (zenon_L589_ : ((ndr1_0)/\((c0_1 (a221))/\((c1_1 (a221))/\(~(c2_1 (a221)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (~(c2_1 (a216))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp20)\/(hskp13))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.30/1.51 do 0 intro. intros zenon_H1e4 zenon_Hb7 zenon_H1a7 zenon_H13b zenon_H1bd zenon_H1b4 zenon_Heb zenon_H1ec zenon_H1ed zenon_H18a zenon_H21a zenon_H17f zenon_H1f9 zenon_H293 zenon_H13a zenon_H3d zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H62 zenon_H65 zenon_H69. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H10. zenon_intro zenon_H1e5. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H143. zenon_intro zenon_H1e6. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H144. zenon_intro zenon_H142. % 1.30/1.51 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.30/1.51 apply (zenon_L417_); trivial. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.30/1.51 apply (zenon_L565_); trivial. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.30/1.51 apply (zenon_L586_); trivial. % 1.30/1.51 apply (zenon_L587_); trivial. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.30/1.51 apply (zenon_L572_); trivial. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.30/1.51 apply (zenon_L588_); trivial. % 1.30/1.51 apply (zenon_L571_); trivial. % 1.30/1.51 (* end of lemma zenon_L589_ *) % 1.30/1.51 assert (zenon_L590_ : ((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> False). % 1.30/1.51 do 0 intro. intros zenon_H34 zenon_H1d8 zenon_H254 zenon_H253 zenon_H252 zenon_H1f zenon_H20 zenon_H21 zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H293 zenon_H1d1 zenon_H1d0 zenon_H1cf. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H46 | zenon_intro zenon_H1d9 ]. % 1.30/1.51 apply (zenon_L567_); trivial. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28 ]. % 1.30/1.51 apply (zenon_L190_); trivial. % 1.30/1.51 apply (zenon_L12_); trivial. % 1.30/1.51 (* end of lemma zenon_L590_ *) % 1.30/1.51 assert (zenon_L591_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> False). % 1.30/1.51 do 0 intro. intros zenon_H39 zenon_H3a zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H1f zenon_H20 zenon_H21 zenon_H252 zenon_H253 zenon_H254 zenon_H293 zenon_H13. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.30/1.51 apply (zenon_L10_); trivial. % 1.30/1.51 apply (zenon_L590_); trivial. % 1.30/1.51 (* end of lemma zenon_L591_ *) % 1.30/1.51 assert (zenon_L592_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> False). % 1.30/1.51 do 0 intro. intros zenon_H3d zenon_H3a zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H13 zenon_H293 zenon_H254 zenon_H253 zenon_H252 zenon_H21 zenon_H20 zenon_H1f zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H10 zenon_H18a zenon_H188 zenon_Hb zenon_H220. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H46 | zenon_intro zenon_H221 ]. % 1.30/1.51 apply (zenon_L567_); trivial. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_He0 | zenon_intro zenon_Hc ]. % 1.30/1.51 apply (zenon_L432_); trivial. % 1.30/1.51 exact (zenon_Hb zenon_Hc). % 1.30/1.51 apply (zenon_L591_); trivial. % 1.30/1.51 (* end of lemma zenon_L592_ *) % 1.30/1.51 assert (zenon_L593_ : ((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(hskp7)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (~(c2_1 (a213))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> False). % 1.30/1.51 do 0 intro. intros zenon_H11d zenon_H21a zenon_Hb zenon_H253 zenon_H254 zenon_H293 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H21 zenon_H20 zenon_H1f zenon_H252 zenon_H220. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.30/1.51 apply (zenon_L566_); trivial. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.30/1.51 apply (zenon_L568_); trivial. % 1.30/1.51 apply (zenon_L87_); trivial. % 1.30/1.51 (* end of lemma zenon_L593_ *) % 1.30/1.51 assert (zenon_L594_ : ((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> False). % 1.30/1.51 do 0 intro. intros zenon_Hb3 zenon_H3a zenon_H1d8 zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H252 zenon_H253 zenon_H254 zenon_H293 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.30/1.51 apply (zenon_L225_); trivial. % 1.30/1.51 apply (zenon_L590_); trivial. % 1.30/1.51 (* end of lemma zenon_L594_ *) % 1.30/1.51 assert (zenon_L595_ : ((ndr1_0)/\((c2_1 (a220))/\((~(c0_1 (a220)))/\(~(c3_1 (a220)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a224))/\((c3_1 (a224))/\(~(c1_1 (a224))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp20)\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> False). % 1.30/1.51 do 0 intro. intros zenon_H1e9 zenon_H1a6 zenon_H1dc zenon_H69 zenon_H65 zenon_H62 zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_H3d zenon_H3a zenon_H1d8 zenon_H13 zenon_H293 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H18a zenon_H220 zenon_H13a zenon_H21a zenon_H13b zenon_H1a7 zenon_Hb7. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H10. zenon_intro zenon_H1ea. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d1. zenon_intro zenon_H1eb. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1cf. zenon_intro zenon_H1d0. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.30/1.51 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.30/1.51 apply (zenon_L417_); trivial. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.30/1.51 apply (zenon_L592_); trivial. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.30/1.51 apply (zenon_L136_); trivial. % 1.30/1.51 apply (zenon_L593_); trivial. % 1.30/1.51 apply (zenon_L591_); trivial. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.30/1.51 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.30/1.51 apply (zenon_L417_); trivial. % 1.30/1.51 apply (zenon_L594_); trivial. % 1.30/1.51 (* end of lemma zenon_L595_ *) % 1.30/1.51 assert (zenon_L596_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> False). % 1.30/1.51 do 0 intro. intros zenon_H39 zenon_H21a zenon_H1f zenon_H20 zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H293 zenon_Heb zenon_H291 zenon_H1ad zenon_H1ac zenon_H1ab zenon_H252 zenon_H253 zenon_H254. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.30/1.51 apply (zenon_L566_); trivial. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.30/1.51 apply (zenon_L546_); trivial. % 1.30/1.51 apply (zenon_L547_); trivial. % 1.30/1.51 (* end of lemma zenon_L596_ *) % 1.30/1.51 assert (zenon_L597_ : ((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a213))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> False). % 1.30/1.51 do 0 intro. intros zenon_H11d zenon_H21a zenon_H252 zenon_H1f zenon_H20 zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H293 zenon_H1ab zenon_H1ac zenon_H1ad zenon_H253 zenon_H254 zenon_Heb. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.30/1.51 apply (zenon_L566_); trivial. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.30/1.51 apply (zenon_L546_); trivial. % 1.30/1.51 apply (zenon_L87_); trivial. % 1.30/1.51 (* end of lemma zenon_L597_ *) % 1.30/1.51 assert (zenon_L598_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (ndr1_0) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> False). % 1.30/1.51 do 0 intro. intros zenon_H13a zenon_H21a zenon_H1ab zenon_H1ac zenon_H1ad zenon_Heb zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H1f zenon_H20 zenon_H252 zenon_H253 zenon_H254 zenon_H293 zenon_H10 zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.30/1.51 apply (zenon_L136_); trivial. % 1.30/1.51 apply (zenon_L597_); trivial. % 1.30/1.51 (* end of lemma zenon_L598_ *) % 1.30/1.51 assert (zenon_L599_ : ((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a213))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> False). % 1.30/1.51 do 0 intro. intros zenon_Hb3 zenon_H1a7 zenon_H13b zenon_H13a zenon_Heb zenon_H253 zenon_H254 zenon_H18a zenon_H1ad zenon_H1ac zenon_H1ab zenon_H293 zenon_H252 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H291 zenon_H21a zenon_H3d. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.30/1.51 apply (zenon_L541_); trivial. % 1.30/1.51 apply (zenon_L596_); trivial. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.30/1.51 apply (zenon_L598_); trivial. % 1.30/1.51 apply (zenon_L596_); trivial. % 1.30/1.51 (* end of lemma zenon_L599_ *) % 1.30/1.51 assert (zenon_L600_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a213))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> (~(c0_1 (a218))) -> (~(c1_1 (a218))) -> (c3_1 (a218)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> False). % 1.30/1.51 do 0 intro. intros zenon_Hee zenon_Hb7 zenon_H1a7 zenon_H13b zenon_H13a zenon_H18a zenon_H293 zenon_H252 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H291 zenon_H21a zenon_H3d zenon_H1ab zenon_H1ac zenon_H1ad zenon_H186 zenon_H254 zenon_H253 zenon_Heb. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.30/1.51 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.30/1.51 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.30/1.51 apply (zenon_L553_); trivial. % 1.30/1.51 apply (zenon_L599_); trivial. % 1.30/1.51 (* end of lemma zenon_L600_ *) % 1.30/1.51 assert (zenon_L601_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c0_1 (a216))) -> (~(c2_1 (a216))) -> (c3_1 (a216)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a224)) -> (c3_1 (a224)) -> (~(c1_1 (a224))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a218)) -> (~(c1_1 (a218))) -> (~(c0_1 (a218))) -> (ndr1_0) -> False). % 1.30/1.51 do 0 intro. intros zenon_Heb zenon_H1ec zenon_H1f9 zenon_H1ed zenon_H186 zenon_H5 zenon_H123 zenon_H124 zenon_H122 zenon_H254 zenon_H253 zenon_H252 zenon_H293 zenon_H1ad zenon_H1ac zenon_H1ab zenon_H10. % 1.30/1.51 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hdc | zenon_intro zenon_He0 ]. % 1.30/1.51 apply (zenon_L148_); trivial. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H294 ]. % 1.30/1.51 apply (zenon_L246_); trivial. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H130 | zenon_intro zenon_H251 ]. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H16a | zenon_intro zenon_H187 ]. % 1.30/1.51 apply (zenon_L419_); trivial. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H7a | zenon_intro zenon_H6 ]. % 1.30/1.51 apply (zenon_L92_); trivial. % 1.30/1.51 exact (zenon_H5 zenon_H6). % 1.30/1.51 apply (zenon_L415_); trivial. % 1.30/1.51 (* end of lemma zenon_L601_ *) % 1.30/1.51 assert (zenon_L602_ : ((ndr1_0)/\((c3_1 (a218))/\((~(c0_1 (a218)))/\(~(c1_1 (a218)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a224))/\((c3_1 (a224))/\(~(c1_1 (a224))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (~(c2_1 (a213))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((hskp15)\/((hskp7)\/(hskp11))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp13))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> False). % 1.30/1.51 do 0 intro. intros zenon_H226 zenon_H1a6 zenon_Hb7 zenon_H1a7 zenon_H13b zenon_H13a zenon_H18a zenon_H293 zenon_H252 zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H291 zenon_H21a zenon_Hd zenon_H13 zenon_H186 zenon_H254 zenon_H253 zenon_Heb zenon_H3a zenon_H3d zenon_Hf1. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H10. zenon_intro zenon_H227. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ad. zenon_intro zenon_H228. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.30/1.51 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.30/1.51 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.30/1.51 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.30/1.51 apply (zenon_L551_); trivial. % 1.30/1.51 apply (zenon_L599_); trivial. % 1.30/1.51 apply (zenon_L600_); trivial. % 1.30/1.51 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.30/1.52 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.30/1.52 apply (zenon_L601_); trivial. % 1.30/1.52 apply (zenon_L599_); trivial. % 1.30/1.52 (* end of lemma zenon_L602_ *) % 1.30/1.52 assert (zenon_L603_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.30/1.52 do 0 intro. intros zenon_Ha1 zenon_H69 zenon_H253 zenon_H254 zenon_H15f zenon_H265 zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H14d zenon_H18a zenon_H9 zenon_H188 zenon_H15e. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14b | zenon_intro zenon_H159 ]. % 1.30/1.52 apply (zenon_L384_); trivial. % 1.30/1.52 apply (zenon_L354_); trivial. % 1.30/1.52 apply (zenon_L437_); trivial. % 1.30/1.52 (* end of lemma zenon_L603_ *) % 1.30/1.52 assert (zenon_L604_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> False). % 1.30/1.52 do 0 intro. intros zenon_Ha5 zenon_H69 zenon_H15f zenon_H265 zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H14d zenon_H15e zenon_H7f zenon_H6c zenon_H6d zenon_H75 zenon_H10 zenon_H18a zenon_H9 zenon_H188 zenon_H254 zenon_H253 zenon_Heb. % 1.30/1.52 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.30/1.52 apply (zenon_L433_); trivial. % 1.30/1.52 apply (zenon_L603_); trivial. % 1.30/1.52 (* end of lemma zenon_L604_ *) % 1.30/1.52 assert (zenon_L605_ : ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (~(c3_1 (a252))) -> (c1_1 (a252)) -> (~(c2_1 (a252))) -> (ndr1_0) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36)))))) -> (~(hskp28)) -> False). % 1.30/1.52 do 0 intro. intros zenon_H17f zenon_H16 zenon_H14 zenon_H15 zenon_H10b zenon_H8f zenon_H91 zenon_H90 zenon_H10 zenon_H1de zenon_H109. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H16e | zenon_intro zenon_H180 ]. % 1.30/1.52 apply (zenon_L115_); trivial. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H141 | zenon_intro zenon_H10a ]. % 1.30/1.52 apply (zenon_L383_); trivial. % 1.30/1.52 exact (zenon_H109 zenon_H10a). % 1.30/1.52 (* end of lemma zenon_L605_ *) % 1.30/1.52 assert (zenon_L606_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp28)) -> (~(c2_1 (a252))) -> (c1_1 (a252)) -> (~(c3_1 (a252))) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.30/1.52 do 0 intro. intros zenon_H235 zenon_H109 zenon_H90 zenon_H91 zenon_H8f zenon_H10b zenon_H15 zenon_H14 zenon_H16 zenon_H17f zenon_H22c zenon_H22b zenon_H22a zenon_H10 zenon_H62. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1de | zenon_intro zenon_H236 ]. % 1.30/1.52 apply (zenon_L605_); trivial. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H229 | zenon_intro zenon_H63 ]. % 1.30/1.52 apply (zenon_L337_); trivial. % 1.30/1.52 exact (zenon_H62 zenon_H63). % 1.30/1.52 (* end of lemma zenon_L606_ *) % 1.30/1.52 assert (zenon_L607_ : ((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a243))) -> (~(c1_1 (a243))) -> (~(c0_1 (a243))) -> (~(hskp4)) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(c0_1 (a260))) -> (c1_1 (a260)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> False). % 1.30/1.52 do 0 intro. intros zenon_H11d zenon_H21a zenon_H213 zenon_H212 zenon_H211 zenon_H62 zenon_H22a zenon_H22b zenon_H22c zenon_H150 zenon_H152 zenon_H235. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.30/1.52 apply (zenon_L269_); trivial. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.30/1.52 apply (zenon_L360_); trivial. % 1.30/1.52 apply (zenon_L87_); trivial. % 1.30/1.52 (* end of lemma zenon_L607_ *) % 1.30/1.52 assert (zenon_L608_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (~(c2_1 (a213))) -> (~(hskp18)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (~(c2_1 (a243))) -> (~(c1_1 (a243))) -> (~(c0_1 (a243))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.30/1.52 do 0 intro. intros zenon_Ha1 zenon_H69 zenon_H252 zenon_H40 zenon_H263 zenon_H253 zenon_H254 zenon_H15f zenon_H265 zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H14d zenon_H21a zenon_H17f zenon_H16 zenon_H14 zenon_H15 zenon_H213 zenon_H212 zenon_H211 zenon_H13a zenon_H15e. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14b | zenon_intro zenon_H159 ]. % 1.30/1.52 apply (zenon_L384_); trivial. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H10. zenon_intro zenon_H15b. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H152. zenon_intro zenon_H15c. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.30/1.52 apply (zenon_L269_); trivial. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.30/1.52 apply (zenon_L360_); trivial. % 1.30/1.52 apply (zenon_L606_); trivial. % 1.30/1.52 apply (zenon_L607_); trivial. % 1.30/1.52 apply (zenon_L423_); trivial. % 1.30/1.52 (* end of lemma zenon_L608_ *) % 1.30/1.52 assert (zenon_L609_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (c0_1 (a247)) -> (~(c2_1 (a247))) -> (c3_1 (a247)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> False). % 1.30/1.52 do 0 intro. intros zenon_Ha1 zenon_H27d zenon_H279 zenon_H1b4 zenon_H26d zenon_H254 zenon_H253 zenon_H252 zenon_H83 zenon_H82 zenon_H84 zenon_H15f zenon_H265 zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H26b | zenon_intro zenon_H278 ]. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1de | zenon_intro zenon_H236 ]. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H267 | zenon_intro zenon_H26e ]. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H58 | zenon_intro zenon_H266 ]. % 1.30/1.52 apply (zenon_L213_); trivial. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_He0 | zenon_intro zenon_H160 ]. % 1.30/1.52 apply (zenon_L425_); trivial. % 1.30/1.52 exact (zenon_H15f zenon_H160). % 1.30/1.52 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H251 | zenon_intro zenon_H26c ]. % 1.30/1.52 apply (zenon_L415_); trivial. % 1.30/1.52 exact (zenon_H26b zenon_H26c). % 1.30/1.52 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H229 | zenon_intro zenon_H63 ]. % 1.30/1.52 apply (zenon_L337_); trivial. % 1.30/1.52 exact (zenon_H62 zenon_H63). % 1.30/1.52 apply (zenon_L429_); trivial. % 1.30/1.52 (* end of lemma zenon_L609_ *) % 1.30/1.52 assert (zenon_L610_ : ((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> False). % 1.30/1.52 do 0 intro. intros zenon_Ha4 zenon_Ha5 zenon_H27d zenon_H279 zenon_H1b4 zenon_H26d zenon_H254 zenon_H253 zenon_H252 zenon_H15f zenon_H265 zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235 zenon_H7f zenon_H6d zenon_H6c zenon_H75 zenon_H8b zenon_H8d. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.30/1.52 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.30/1.52 apply (zenon_L36_); trivial. % 1.30/1.52 apply (zenon_L609_); trivial. % 1.30/1.52 (* end of lemma zenon_L610_ *) % 1.30/1.52 assert (zenon_L611_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> (~(c2_1 (a213))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.30/1.52 do 0 intro. intros zenon_H21c zenon_Hb4 zenon_H27d zenon_H279 zenon_H1b4 zenon_H26d zenon_H8b zenon_H8d zenon_H21a zenon_H15 zenon_H14 zenon_H16 zenon_H252 zenon_H263 zenon_H7f zenon_H6c zenon_H6d zenon_H75 zenon_H253 zenon_H254 zenon_Heb zenon_H15e zenon_H13a zenon_H17f zenon_H14d zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235 zenon_H265 zenon_H15f zenon_H69 zenon_Ha5. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.30/1.52 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.30/1.52 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.30/1.52 apply (zenon_L441_); trivial. % 1.30/1.52 apply (zenon_L608_); trivial. % 1.30/1.52 apply (zenon_L610_); trivial. % 1.30/1.52 (* end of lemma zenon_L611_ *) % 1.30/1.52 assert (zenon_L612_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a213))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.30/1.52 do 0 intro. intros zenon_H39 zenon_H21f zenon_Hb4 zenon_H27d zenon_H279 zenon_H1b4 zenon_H26d zenon_H8b zenon_H8d zenon_H21a zenon_H252 zenon_H263 zenon_H7f zenon_H6c zenon_H6d zenon_H75 zenon_H253 zenon_H254 zenon_Heb zenon_H15e zenon_H13a zenon_H17f zenon_H14d zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235 zenon_H265 zenon_H15f zenon_H69 zenon_Ha5 zenon_H13 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.30/1.52 apply (zenon_L418_); trivial. % 1.30/1.52 apply (zenon_L611_); trivial. % 1.30/1.52 (* end of lemma zenon_L612_ *) % 1.30/1.52 assert (zenon_L613_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a213))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp14)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (ndr1_0) -> (~(c1_1 (a230))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.30/1.52 do 0 intro. intros zenon_H3d zenon_H21f zenon_Hb4 zenon_H27d zenon_H279 zenon_H1b4 zenon_H26d zenon_H8b zenon_H8d zenon_H21a zenon_H252 zenon_H263 zenon_H13a zenon_H17f zenon_H13 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a zenon_Heb zenon_H253 zenon_H254 zenon_H188 zenon_H18a zenon_H10 zenon_H75 zenon_H6d zenon_H6c zenon_H7f zenon_H15e zenon_H14d zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235 zenon_H265 zenon_H15f zenon_H69 zenon_Ha5. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.30/1.52 apply (zenon_L604_); trivial. % 1.30/1.52 apply (zenon_L612_); trivial. % 1.30/1.52 (* end of lemma zenon_L613_ *) % 1.30/1.52 assert (zenon_L614_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a213))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp27))) -> (c0_1 (a225)) -> (~(c3_1 (a225))) -> (~(c2_1 (a225))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp14)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (ndr1_0) -> (~(c1_1 (a230))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.30/1.52 do 0 intro. intros zenon_H3d zenon_H21f zenon_Hb4 zenon_H27d zenon_H279 zenon_H1b4 zenon_H26d zenon_H8b zenon_H8d zenon_H21a zenon_H252 zenon_H263 zenon_H13a zenon_H17f zenon_H286 zenon_Hd5 zenon_Hd4 zenon_Hd3 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a zenon_Heb zenon_H253 zenon_H254 zenon_H188 zenon_H18a zenon_H10 zenon_H75 zenon_H6d zenon_H6c zenon_H7f zenon_H15e zenon_H14d zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235 zenon_H265 zenon_H15f zenon_H69 zenon_Ha5. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.30/1.52 apply (zenon_L604_); trivial. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.30/1.52 apply (zenon_L453_); trivial. % 1.30/1.52 apply (zenon_L611_); trivial. % 1.30/1.52 (* end of lemma zenon_L614_ *) % 1.30/1.52 assert (zenon_L615_ : ((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a243))) -> (~(c1_1 (a243))) -> (~(c0_1 (a243))) -> (~(hskp7)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(c0_1 (a278))) -> (~(c2_1 (a278))) -> (~(c3_1 (a278))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> False). % 1.30/1.52 do 0 intro. intros zenon_H11d zenon_H21a zenon_H213 zenon_H212 zenon_H211 zenon_Hb zenon_H253 zenon_H254 zenon_H47 zenon_H48 zenon_H49 zenon_H220. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.30/1.52 apply (zenon_L269_); trivial. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.30/1.52 apply (zenon_L420_); trivial. % 1.30/1.52 apply (zenon_L87_); trivial. % 1.30/1.52 (* end of lemma zenon_L615_ *) % 1.30/1.52 assert (zenon_L616_ : ((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(c2_1 (a243))) -> (~(c1_1 (a243))) -> (~(c0_1 (a243))) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> False). % 1.30/1.52 do 0 intro. intros zenon_H52 zenon_H13a zenon_H21a zenon_H253 zenon_H254 zenon_Hb zenon_H220 zenon_H213 zenon_H212 zenon_H211 zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H10. zenon_intro zenon_H54. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H55. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H49. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.30/1.52 apply (zenon_L136_); trivial. % 1.30/1.52 apply (zenon_L615_); trivial. % 1.30/1.52 (* end of lemma zenon_L616_ *) % 1.30/1.52 assert (zenon_L617_ : ((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(c2_1 (a243))) -> (~(c1_1 (a243))) -> (~(c0_1 (a243))) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> False). % 1.30/1.52 do 0 intro. intros zenon_H159 zenon_H13a zenon_H21a zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235 zenon_H213 zenon_H212 zenon_H211 zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H10. zenon_intro zenon_H15b. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H152. zenon_intro zenon_H15c. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.30/1.52 apply (zenon_L136_); trivial. % 1.30/1.52 apply (zenon_L607_); trivial. % 1.30/1.52 (* end of lemma zenon_L617_ *) % 1.30/1.52 assert (zenon_L618_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> (~(c0_1 (a243))) -> (~(c1_1 (a243))) -> (~(c2_1 (a243))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.30/1.52 do 0 intro. intros zenon_Ha1 zenon_H69 zenon_H253 zenon_H254 zenon_H15f zenon_H265 zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H14d zenon_H13b zenon_H9 zenon_H18e zenon_H18d zenon_H18c zenon_H211 zenon_H212 zenon_H213 zenon_H21a zenon_H13a zenon_H15e. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14b | zenon_intro zenon_H159 ]. % 1.30/1.52 apply (zenon_L384_); trivial. % 1.30/1.52 apply (zenon_L617_); trivial. % 1.30/1.52 apply (zenon_L456_); trivial. % 1.30/1.52 (* end of lemma zenon_L618_ *) % 1.30/1.52 assert (zenon_L619_ : ((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> (~(c0_1 (a243))) -> (~(c1_1 (a243))) -> (~(c2_1 (a243))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> False). % 1.30/1.52 do 0 intro. intros zenon_Ha4 zenon_Ha5 zenon_H69 zenon_H253 zenon_H254 zenon_H15f zenon_H265 zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H14d zenon_H13b zenon_H9 zenon_H18e zenon_H18d zenon_H18c zenon_H211 zenon_H212 zenon_H213 zenon_H21a zenon_H13a zenon_H15e zenon_H7f zenon_H6d zenon_H6c zenon_H75 zenon_H8b zenon_H8d. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.30/1.52 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.30/1.52 apply (zenon_L36_); trivial. % 1.30/1.52 apply (zenon_L618_); trivial. % 1.30/1.52 (* end of lemma zenon_L619_ *) % 1.30/1.52 assert (zenon_L620_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp7))) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.30/1.52 do 0 intro. intros zenon_H21c zenon_Hb4 zenon_Ha5 zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H14d zenon_H15e zenon_H7f zenon_H6d zenon_H6c zenon_H75 zenon_H8b zenon_H8d zenon_H57 zenon_H13a zenon_H21a zenon_H253 zenon_H254 zenon_Hb zenon_H220 zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b zenon_H44 zenon_H265 zenon_H15f zenon_H69. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.30/1.52 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H42 | zenon_intro zenon_H52 ]. % 1.30/1.52 apply (zenon_L20_); trivial. % 1.30/1.52 apply (zenon_L616_); trivial. % 1.30/1.52 apply (zenon_L456_); trivial. % 1.30/1.52 apply (zenon_L619_); trivial. % 1.30/1.52 (* end of lemma zenon_L620_ *) % 1.30/1.52 assert (zenon_L621_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (~(hskp20)) -> (~(c3_1 (a252))) -> (c1_1 (a252)) -> (~(c2_1 (a252))) -> (ndr1_0) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> False). % 1.30/1.52 do 0 intro. intros zenon_H15e zenon_H15a zenon_H3 zenon_H1 zenon_H14d zenon_H3e zenon_H8f zenon_H91 zenon_H90 zenon_H10 zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14b | zenon_intro zenon_H159 ]. % 1.30/1.52 apply (zenon_L384_); trivial. % 1.30/1.52 apply (zenon_L103_); trivial. % 1.30/1.52 (* end of lemma zenon_L621_ *) % 1.30/1.52 assert (zenon_L622_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a247)) -> (~(c2_1 (a247))) -> (c0_1 (a247)) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.30/1.52 do 0 intro. intros zenon_Ha1 zenon_H69 zenon_H27d zenon_H279 zenon_H1b4 zenon_H265 zenon_H15f zenon_H84 zenon_H82 zenon_H83 zenon_H252 zenon_H253 zenon_H254 zenon_H26d zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H14d zenon_H1 zenon_H3 zenon_H15a zenon_H15e. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.30/1.52 apply (zenon_L621_); trivial. % 1.30/1.52 apply (zenon_L443_); trivial. % 1.30/1.52 (* end of lemma zenon_L622_ *) % 1.30/1.52 assert (zenon_L623_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> (~(c2_1 (a213))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.30/1.52 do 0 intro. intros zenon_H39 zenon_H21f zenon_Hb4 zenon_H27d zenon_H279 zenon_H1b4 zenon_H26d zenon_H1 zenon_H15a zenon_H134 zenon_H3 zenon_H122 zenon_H123 zenon_H124 zenon_H7f zenon_H15e zenon_H13a zenon_H17f zenon_H21a zenon_H14d zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235 zenon_H265 zenon_H15f zenon_H254 zenon_H253 zenon_H263 zenon_H252 zenon_H69 zenon_Ha5 zenon_H13 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.30/1.52 apply (zenon_L418_); trivial. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.30/1.52 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.30/1.52 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.30/1.52 apply (zenon_L299_); trivial. % 1.30/1.52 apply (zenon_L608_); trivial. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.30/1.52 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.30/1.52 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.30/1.52 apply (zenon_L299_); trivial. % 1.30/1.52 apply (zenon_L622_); trivial. % 1.30/1.52 (* end of lemma zenon_L623_ *) % 1.30/1.52 assert (zenon_L624_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a224)) -> (~(c1_1 (a224))) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> False). % 1.30/1.52 do 0 intro. intros zenon_H21c zenon_Ha5 zenon_H69 zenon_H265 zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H14d zenon_H13b zenon_H9 zenon_H21a zenon_H13a zenon_H15e zenon_H1bd zenon_H1b4 zenon_H18e zenon_H18d zenon_H18c zenon_H7f zenon_H124 zenon_H122 zenon_H6d zenon_H75 zenon_H252 zenon_H253 zenon_H254 zenon_H26d zenon_H15f zenon_H279 zenon_H27d. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.30/1.52 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.30/1.52 apply (zenon_L469_); trivial. % 1.30/1.52 apply (zenon_L618_); trivial. % 1.30/1.52 (* end of lemma zenon_L624_ *) % 1.30/1.52 assert (zenon_L625_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> (c2_1 (a230)) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(c1_1 (a230))) -> (c3_1 (a230)) -> (~(c1_1 (a224))) -> (c3_1 (a224)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> False). % 1.30/1.52 do 0 intro. intros zenon_H21c zenon_Hb4 zenon_H6c zenon_H8b zenon_H8d zenon_H27d zenon_H279 zenon_H15f zenon_H26d zenon_H254 zenon_H253 zenon_H252 zenon_H75 zenon_H6d zenon_H122 zenon_H124 zenon_H7f zenon_H18c zenon_H18d zenon_H18e zenon_H1b4 zenon_H1bd zenon_H15e zenon_H13a zenon_H15 zenon_H14 zenon_H16 zenon_H17f zenon_H21a zenon_H14d zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235 zenon_H265 zenon_H263 zenon_H69 zenon_Ha5. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.30/1.52 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.30/1.52 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.30/1.52 apply (zenon_L469_); trivial. % 1.30/1.52 apply (zenon_L608_); trivial. % 1.30/1.52 apply (zenon_L610_); trivial. % 1.30/1.52 (* end of lemma zenon_L625_ *) % 1.30/1.52 assert (zenon_L626_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> (~(c2_1 (a213))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.30/1.52 do 0 intro. intros zenon_H21c zenon_Hb4 zenon_H8d zenon_H57 zenon_Hd1 zenon_H8b zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H44 zenon_H265 zenon_H15f zenon_H254 zenon_H253 zenon_H263 zenon_H252 zenon_H16 zenon_H14 zenon_H15 zenon_H21a zenon_H69. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.30/1.52 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.30/1.52 apply (zenon_L57_); trivial. % 1.30/1.52 apply (zenon_L423_); trivial. % 1.30/1.52 apply (zenon_L55_); trivial. % 1.30/1.52 (* end of lemma zenon_L626_ *) % 1.30/1.52 assert (zenon_L627_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> (~(c2_1 (a213))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.30/1.52 do 0 intro. intros zenon_H39 zenon_Hb4 zenon_H8d zenon_H57 zenon_Hd1 zenon_H8b zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H44 zenon_H1bd zenon_H1b4 zenon_H18e zenon_H18d zenon_H18c zenon_H1f zenon_H20 zenon_H184 zenon_H265 zenon_H15f zenon_H254 zenon_H253 zenon_H263 zenon_H252 zenon_H21a zenon_H69. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.30/1.52 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.30/1.52 apply (zenon_L57_); trivial. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H10. zenon_intro zenon_H66. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5a. zenon_intro zenon_H67. % 1.30/1.52 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.30/1.52 apply (zenon_L265_); trivial. % 1.30/1.52 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.30/1.52 apply (zenon_L422_); trivial. % 1.30/1.52 apply (zenon_L421_); trivial. % 1.30/1.52 apply (zenon_L55_); trivial. % 1.30/1.52 (* end of lemma zenon_L627_ *) % 1.30/1.52 assert (zenon_L628_ : ((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp20)\/(hskp13))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.34/1.54 do 0 intro. intros zenon_Hf2 zenon_Hb7 zenon_H1a7 zenon_H13b zenon_H1bd zenon_H1b4 zenon_H184 zenon_H13a zenon_Heb zenon_H18a zenon_H3a zenon_H20f zenon_H13 zenon_H21a zenon_H263 zenon_H15f zenon_H265 zenon_H44 zenon_H8b zenon_Hd1 zenon_H57 zenon_H8d zenon_Hb4 zenon_H21f zenon_H3d zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H62 zenon_H65 zenon_H69. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.34/1.54 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.34/1.54 apply (zenon_L417_); trivial. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.34/1.54 apply (zenon_L532_); trivial. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.34/1.54 apply (zenon_L418_); trivial. % 1.34/1.54 apply (zenon_L626_); trivial. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.34/1.54 apply (zenon_L478_); trivial. % 1.34/1.54 apply (zenon_L627_); trivial. % 1.34/1.54 (* end of lemma zenon_L628_ *) % 1.34/1.54 assert (zenon_L629_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> (~(c0_1 (a243))) -> (~(c1_1 (a243))) -> (~(c2_1 (a243))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (ndr1_0) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> (~(hskp20)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> False). % 1.34/1.54 do 0 intro. intros zenon_H15e zenon_H13a zenon_H211 zenon_H212 zenon_H213 zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H17f zenon_H16 zenon_H14 zenon_H15 zenon_H21a zenon_H10 zenon_H142 zenon_H143 zenon_H144 zenon_H3e zenon_H14d. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14b | zenon_intro zenon_H159 ]. % 1.34/1.54 apply (zenon_L101_); trivial. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H10. zenon_intro zenon_H15b. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H152. zenon_intro zenon_H15c. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.34/1.54 apply (zenon_L269_); trivial. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.34/1.54 apply (zenon_L360_); trivial. % 1.34/1.54 apply (zenon_L471_); trivial. % 1.34/1.54 apply (zenon_L607_); trivial. % 1.34/1.54 (* end of lemma zenon_L629_ *) % 1.34/1.54 assert (zenon_L630_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.34/1.54 do 0 intro. intros zenon_H21c zenon_H69 zenon_H265 zenon_H15f zenon_H254 zenon_H253 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H21a zenon_H15 zenon_H14 zenon_H16 zenon_H17f zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235 zenon_H13a zenon_H15e. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.34/1.54 apply (zenon_L629_); trivial. % 1.34/1.54 apply (zenon_L473_); trivial. % 1.34/1.54 (* end of lemma zenon_L630_ *) % 1.34/1.54 assert (zenon_L631_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.34/1.54 do 0 intro. intros zenon_H39 zenon_H21f zenon_H69 zenon_H265 zenon_H15f zenon_H254 zenon_H253 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H21a zenon_H17f zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235 zenon_H13a zenon_H15e zenon_H13 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.34/1.54 apply (zenon_L418_); trivial. % 1.34/1.54 apply (zenon_L630_); trivial. % 1.34/1.54 (* end of lemma zenon_L631_ *) % 1.34/1.54 assert (zenon_L632_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp14)) -> (c3_1 (a229)) -> (~(c0_1 (a229))) -> (ndr1_0) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> False). % 1.34/1.54 do 0 intro. intros zenon_H3d zenon_H21f zenon_H69 zenon_H265 zenon_H15f zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H21a zenon_H17f zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235 zenon_H13a zenon_H15e zenon_H13 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a zenon_H18a zenon_H188 zenon_Hca zenon_Hc8 zenon_H10 zenon_H254 zenon_H253 zenon_Heb. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.34/1.54 apply (zenon_L532_); trivial. % 1.34/1.54 apply (zenon_L631_); trivial. % 1.34/1.54 (* end of lemma zenon_L632_ *) % 1.34/1.54 assert (zenon_L633_ : ((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp20)\/(hskp13))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.34/1.54 do 0 intro. intros zenon_Hf2 zenon_Hb7 zenon_H1a7 zenon_H13b zenon_H1bd zenon_H1b4 zenon_H184 zenon_Heb zenon_H18a zenon_H3a zenon_H20f zenon_H13 zenon_H15e zenon_H13a zenon_H235 zenon_H22c zenon_H22b zenon_H22a zenon_H17f zenon_H21a zenon_H142 zenon_H143 zenon_H144 zenon_H14d zenon_H15f zenon_H265 zenon_H21f zenon_H3d zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H62 zenon_H65 zenon_H69. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.34/1.54 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.34/1.54 apply (zenon_L417_); trivial. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.34/1.54 apply (zenon_L632_); trivial. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.34/1.54 apply (zenon_L478_); trivial. % 1.34/1.54 apply (zenon_L631_); trivial. % 1.34/1.54 (* end of lemma zenon_L633_ *) % 1.34/1.54 assert (zenon_L634_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> (~(hskp7)) -> (~(hskp11)) -> ((hskp15)\/((hskp7)\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp20)\/(hskp13))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (ndr1_0) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.34/1.54 do 0 intro. intros zenon_Hb7 zenon_H3d zenon_H21f zenon_H265 zenon_H15f zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H21a zenon_H17f zenon_H22a zenon_H22b zenon_H22c zenon_H235 zenon_H13a zenon_H15e zenon_H13 zenon_H20f zenon_H3a zenon_Hb zenon_H3 zenon_Hd zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H62 zenon_H65 zenon_H69. % 1.34/1.54 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.34/1.54 apply (zenon_L417_); trivial. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.34/1.54 apply (zenon_L7_); trivial. % 1.34/1.54 apply (zenon_L631_); trivial. % 1.34/1.54 (* end of lemma zenon_L634_ *) % 1.34/1.54 assert (zenon_L635_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.34/1.54 do 0 intro. intros zenon_H69 zenon_H253 zenon_H254 zenon_H15f zenon_H265 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H10 zenon_H18a zenon_H9 zenon_H188 zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235 zenon_H15e. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.34/1.54 apply (zenon_L355_); trivial. % 1.34/1.54 apply (zenon_L437_); trivial. % 1.34/1.54 (* end of lemma zenon_L635_ *) % 1.34/1.54 assert (zenon_L636_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> (~(hskp14)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (ndr1_0) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.34/1.54 do 0 intro. intros zenon_H3d zenon_H21f zenon_H21a zenon_H17f zenon_H13a zenon_H13 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a zenon_H15e zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H188 zenon_H18a zenon_H10 zenon_H142 zenon_H143 zenon_H144 zenon_H14d zenon_H265 zenon_H15f zenon_H254 zenon_H253 zenon_H69. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.34/1.54 apply (zenon_L635_); trivial. % 1.34/1.54 apply (zenon_L631_); trivial. % 1.34/1.54 (* end of lemma zenon_L636_ *) % 1.34/1.54 assert (zenon_L637_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(c2_1 (a243))) -> (~(c1_1 (a243))) -> (~(c0_1 (a243))) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (ndr1_0) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> (~(hskp20)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> False). % 1.34/1.54 do 0 intro. intros zenon_H15e zenon_H13a zenon_H21a zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235 zenon_H213 zenon_H212 zenon_H211 zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b zenon_H10 zenon_H142 zenon_H143 zenon_H144 zenon_H3e zenon_H14d. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14b | zenon_intro zenon_H159 ]. % 1.34/1.54 apply (zenon_L101_); trivial. % 1.34/1.54 apply (zenon_L617_); trivial. % 1.34/1.54 (* end of lemma zenon_L637_ *) % 1.34/1.54 assert (zenon_L638_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.34/1.54 do 0 intro. intros zenon_H21c zenon_H69 zenon_H253 zenon_H254 zenon_H15f zenon_H265 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H13b zenon_H9 zenon_H18e zenon_H18d zenon_H18c zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H21a zenon_H13a zenon_H15e. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.34/1.54 apply (zenon_L637_); trivial. % 1.34/1.54 apply (zenon_L456_); trivial. % 1.34/1.54 (* end of lemma zenon_L638_ *) % 1.34/1.54 assert (zenon_L639_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> (~(c2_1 (a225))) -> (~(c3_1 (a225))) -> (c0_1 (a225)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp20)\/(hskp13))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.34/1.54 do 0 intro. intros zenon_Hee zenon_Hb7 zenon_H1a7 zenon_Hd3 zenon_Hd4 zenon_Hd5 zenon_H286 zenon_H13b zenon_H15f zenon_H265 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H18a zenon_H22a zenon_H22b zenon_H22c zenon_H235 zenon_H15e zenon_H3a zenon_H20f zenon_H13 zenon_H13a zenon_H17f zenon_H21a zenon_H21f zenon_H3d zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H62 zenon_H65 zenon_H69. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.34/1.54 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.34/1.54 apply (zenon_L417_); trivial. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.34/1.54 apply (zenon_L636_); trivial. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.34/1.54 apply (zenon_L453_); trivial. % 1.34/1.54 apply (zenon_L638_); trivial. % 1.34/1.54 apply (zenon_L631_); trivial. % 1.34/1.54 (* end of lemma zenon_L639_ *) % 1.34/1.54 assert (zenon_L640_ : ((ndr1_0)/\((c0_1 (a225))/\((~(c2_1 (a225)))/\(~(c3_1 (a225)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c2_1 X22)\/((c3_1 X22)\/(~(c0_1 X22))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp20)\/(hskp13))) -> ((hskp15)\/((hskp7)\/(hskp11))) -> (~(hskp7)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> False). % 1.34/1.54 do 0 intro. intros zenon_H136 zenon_Hf1 zenon_H1a7 zenon_H286 zenon_H13b zenon_H18a zenon_H69 zenon_H65 zenon_H62 zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_Hd zenon_Hb zenon_H3a zenon_H20f zenon_H13 zenon_H15e zenon_H13a zenon_H235 zenon_H22c zenon_H22b zenon_H22a zenon_H17f zenon_H21a zenon_H142 zenon_H143 zenon_H144 zenon_H14d zenon_H15f zenon_H265 zenon_H21f zenon_H3d zenon_Hb7. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.34/1.54 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.34/1.54 apply (zenon_L634_); trivial. % 1.34/1.54 apply (zenon_L639_); trivial. % 1.34/1.54 (* end of lemma zenon_L640_ *) % 1.34/1.54 assert (zenon_L641_ : ((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> (~(hskp5)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(c1_1 (a230))) -> (c3_1 (a230)) -> (~(c1_1 (a224))) -> (c3_1 (a224)) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> False). % 1.34/1.54 do 0 intro. intros zenon_H159 zenon_H27d zenon_H279 zenon_H1b4 zenon_H26d zenon_H254 zenon_H253 zenon_H252 zenon_H75 zenon_H6d zenon_H122 zenon_H124 zenon_H7d zenon_H7f zenon_H15f zenon_H163. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H10. zenon_intro zenon_H15b. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H152. zenon_intro zenon_H15c. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H26b | zenon_intro zenon_H278 ]. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_Hdc | zenon_intro zenon_H164 ]. % 1.34/1.54 apply (zenon_L468_); trivial. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H14f | zenon_intro zenon_H160 ]. % 1.34/1.54 apply (zenon_L102_); trivial. % 1.34/1.54 exact (zenon_H15f zenon_H160). % 1.34/1.54 apply (zenon_L429_); trivial. % 1.34/1.54 (* end of lemma zenon_L641_ *) % 1.34/1.54 assert (zenon_L642_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp8)\/(hskp3))) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> (ndr1_0) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a224)) -> (~(c1_1 (a224))) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (~(hskp5)) -> ((forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1))))))\/((hskp5)\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> False). % 1.34/1.54 do 0 intro. intros zenon_H69 zenon_H161 zenon_H50 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H10 zenon_H163 zenon_H15f zenon_H7f zenon_H7d zenon_H124 zenon_H122 zenon_H6d zenon_H75 zenon_H252 zenon_H253 zenon_H254 zenon_H26d zenon_H1b4 zenon_H279 zenon_H27d zenon_H15e. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14b | zenon_intro zenon_H159 ]. % 1.34/1.54 apply (zenon_L101_); trivial. % 1.34/1.54 apply (zenon_L641_); trivial. % 1.34/1.54 apply (zenon_L106_); trivial. % 1.34/1.54 (* end of lemma zenon_L642_ *) % 1.34/1.54 assert (zenon_L643_ : ((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.34/1.54 do 0 intro. intros zenon_Hee zenon_Hb4 zenon_Ha5 zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H7f zenon_H8d zenon_H57 zenon_H3a zenon_H1d8 zenon_H1dc zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H8b zenon_Hd1 zenon_H44 zenon_H23f zenon_H241 zenon_H69. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.34/1.54 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.34/1.54 apply (zenon_L491_); trivial. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.34/1.54 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.34/1.54 apply (zenon_L36_); trivial. % 1.34/1.54 apply (zenon_L403_); trivial. % 1.34/1.54 (* end of lemma zenon_L643_ *) % 1.34/1.54 assert (zenon_L644_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a230))/\((c3_1 (a230))/\(~(c1_1 (a230))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> (~(hskp4)) -> (ndr1_0) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp20)\/(hskp13))) -> ((hskp15)\/((hskp7)\/(hskp11))) -> (~(hskp7)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> False). % 1.34/1.54 do 0 intro. intros zenon_Hf1 zenon_Hb4 zenon_Ha5 zenon_H235 zenon_H22c zenon_H22b zenon_H22a zenon_H7f zenon_H8d zenon_H57 zenon_H1dc zenon_H8b zenon_Hd1 zenon_H44 zenon_H23f zenon_H241 zenon_H69 zenon_H65 zenon_H62 zenon_H10 zenon_H252 zenon_H253 zenon_H254 zenon_H25b zenon_Hd zenon_Hb zenon_H13 zenon_H134 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8 zenon_H3a zenon_H3d zenon_Hb7. % 1.34/1.54 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.34/1.54 apply (zenon_L481_); trivial. % 1.34/1.54 apply (zenon_L643_); trivial. % 1.34/1.54 (* end of lemma zenon_L644_ *) % 1.34/1.54 assert (zenon_L645_ : ((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> (~(hskp15)) -> (~(hskp14)) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> False). % 1.34/1.54 do 0 intro. intros zenon_Ha4 zenon_Ha5 zenon_H69 zenon_H253 zenon_H254 zenon_H15f zenon_H265 zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H14d zenon_H18a zenon_H9 zenon_H188 zenon_H15e zenon_H7f zenon_H6d zenon_H6c zenon_H75 zenon_H8b zenon_H8d. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.34/1.54 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.34/1.54 apply (zenon_L36_); trivial. % 1.34/1.54 apply (zenon_L603_); trivial. % 1.34/1.54 (* end of lemma zenon_L645_ *) % 1.34/1.54 assert (zenon_L646_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(hskp14)) -> (~(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.34/1.54 do 0 intro. intros zenon_Hb4 zenon_Ha5 zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H14d zenon_H15e zenon_H7f zenon_H8d zenon_H57 zenon_H3a zenon_H1d8 zenon_H1dc zenon_H6d zenon_H6c zenon_H75 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H8b zenon_Hd1 zenon_H44 zenon_H265 zenon_H15f zenon_H254 zenon_H253 zenon_H188 zenon_H9 zenon_H18a zenon_H69. % 1.34/1.54 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.34/1.54 apply (zenon_L494_); trivial. % 1.34/1.54 apply (zenon_L645_); trivial. % 1.34/1.54 (* end of lemma zenon_L646_ *) % 1.34/1.54 assert (zenon_L647_ : ((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c3_1 (a238))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> False). % 1.34/1.54 do 0 intro. intros zenon_H278 zenon_H3a zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H7f zenon_H7d zenon_H6d zenon_H6c zenon_H75 zenon_H1f zenon_H20 zenon_H21 zenon_H184 zenon_H16 zenon_H15 zenon_H14 zenon_H13. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H27a. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H26f. zenon_intro zenon_H27b. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H270. zenon_intro zenon_H271. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.34/1.54 apply (zenon_L10_); trivial. % 1.34/1.54 apply (zenon_L513_); trivial. % 1.34/1.54 (* end of lemma zenon_L647_ *) % 1.34/1.54 assert (zenon_L648_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c3_1 (a238))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (ndr1_0) -> (~(c1_1 (a228))) -> (~(c2_1 (a228))) -> (c3_1 (a228)) -> (~(c2_1 (a213))) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> False). % 1.34/1.54 do 0 intro. intros zenon_H27d zenon_H3a zenon_H1d8 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H7f zenon_H7d zenon_H6d zenon_H6c zenon_H75 zenon_H1f zenon_H20 zenon_H21 zenon_H184 zenon_H16 zenon_H15 zenon_H14 zenon_H13 zenon_H10 zenon_H243 zenon_H244 zenon_H245 zenon_H252 zenon_H253 zenon_H254 zenon_H26d. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H26b | zenon_intro zenon_H278 ]. % 1.34/1.54 apply (zenon_L450_); trivial. % 1.34/1.54 apply (zenon_L647_); trivial. % 1.34/1.54 (* end of lemma zenon_L648_ *) % 1.34/1.54 assert (zenon_L649_ : ((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> (~(c0_1 (a243))) -> (~(c1_1 (a243))) -> (~(c2_1 (a243))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> (~(c2_1 (a252))) -> (c1_1 (a252)) -> (~(c3_1 (a252))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> False). % 1.34/1.54 do 0 intro. intros zenon_H159 zenon_H3a zenon_H13a zenon_H211 zenon_H212 zenon_H213 zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H1d8 zenon_H15 zenon_H14 zenon_H16 zenon_H90 zenon_H91 zenon_H8f zenon_H17f zenon_H21a zenon_H1dc zenon_H6d zenon_H75 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H15f zenon_H163. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H10. zenon_intro zenon_H15b. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H152. zenon_intro zenon_H15c. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.34/1.54 apply (zenon_L519_); trivial. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H10. zenon_intro zenon_H36. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H29. zenon_intro zenon_H37. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H2a. zenon_intro zenon_H2b. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.34/1.54 apply (zenon_L269_); trivial. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.34/1.54 apply (zenon_L360_); trivial. % 1.34/1.54 apply (zenon_L484_); trivial. % 1.34/1.54 apply (zenon_L607_); trivial. % 1.34/1.54 (* end of lemma zenon_L649_ *) % 1.34/1.54 assert (zenon_L650_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> (~(c0_1 (a243))) -> (~(c1_1 (a243))) -> (~(c2_1 (a243))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a230)) -> (~(c1_1 (a230))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (~(hskp20)) -> (~(c3_1 (a252))) -> (c1_1 (a252)) -> (~(c2_1 (a252))) -> (ndr1_0) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> False). % 1.34/1.54 do 0 intro. intros zenon_H15e zenon_H3a zenon_H13a zenon_H211 zenon_H212 zenon_H213 zenon_H1d8 zenon_H15 zenon_H14 zenon_H16 zenon_H17f zenon_H21a zenon_H1dc zenon_H6d zenon_H75 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H15f zenon_H163 zenon_H14d zenon_H3e zenon_H8f zenon_H91 zenon_H90 zenon_H10 zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14b | zenon_intro zenon_H159 ]. % 1.34/1.54 apply (zenon_L384_); trivial. % 1.34/1.54 apply (zenon_L649_); trivial. % 1.34/1.54 (* end of lemma zenon_L650_ *) % 1.34/1.54 assert (zenon_L651_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (c3_1 (a228)) -> (~(c2_1 (a228))) -> (~(c1_1 (a228))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.34/1.54 do 0 intro. intros zenon_H39 zenon_H21f zenon_Ha5 zenon_H69 zenon_H265 zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H14d zenon_H163 zenon_H15f zenon_H1dc zenon_H21a zenon_H17f zenon_H13a zenon_H15e zenon_H26d zenon_H254 zenon_H253 zenon_H252 zenon_H245 zenon_H244 zenon_H243 zenon_H184 zenon_H75 zenon_H6c zenon_H6d zenon_H7f zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1d8 zenon_H27d zenon_H13 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.34/1.54 apply (zenon_L418_); trivial. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.34/1.54 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.34/1.54 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.34/1.54 apply (zenon_L648_); trivial. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.34/1.54 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.34/1.54 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.34/1.54 apply (zenon_L650_); trivial. % 1.34/1.54 apply (zenon_L487_); trivial. % 1.34/1.54 (* end of lemma zenon_L651_ *) % 1.34/1.54 assert (zenon_L652_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a230)) -> (c2_1 (a230)) -> (~(c1_1 (a230))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.35/1.55 do 0 intro. intros zenon_H21c zenon_Hb4 zenon_Ha5 zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H14d zenon_H15e zenon_H7f zenon_H8d zenon_H57 zenon_H3a zenon_H1d8 zenon_H1dc zenon_H6d zenon_H6c zenon_H75 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H8b zenon_Hd1 zenon_H44 zenon_H13b zenon_H9 zenon_H18e zenon_H18d zenon_H18c zenon_H265 zenon_H15f zenon_H254 zenon_H253 zenon_H21a zenon_H13a zenon_H69. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.35/1.55 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.35/1.55 apply (zenon_L490_); trivial. % 1.35/1.55 apply (zenon_L456_); trivial. % 1.35/1.55 apply (zenon_L619_); trivial. % 1.35/1.55 (* end of lemma zenon_L652_ *) % 1.35/1.55 assert (zenon_L653_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (~(hskp10)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.35/1.55 do 0 intro. intros zenon_H39 zenon_H21f zenon_Ha5 zenon_H69 zenon_H13a zenon_H265 zenon_H15f zenon_H254 zenon_H253 zenon_H1d8 zenon_H17f zenon_H21a zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H1dc zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H14d zenon_H1 zenon_H15a zenon_H15e zenon_H7f zenon_H124 zenon_H123 zenon_H122 zenon_H3 zenon_H134 zenon_H13 zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.55 apply (zenon_L418_); trivial. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.35/1.55 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.35/1.55 apply (zenon_L299_); trivial. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.35/1.55 apply (zenon_L621_); trivial. % 1.35/1.55 apply (zenon_L528_); trivial. % 1.35/1.55 (* end of lemma zenon_L653_ *) % 1.35/1.55 assert (zenon_L654_ : ((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> False). % 1.35/1.55 do 0 intro. intros zenon_H52 zenon_H3a zenon_H1d8 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H10. zenon_intro zenon_H54. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H47. zenon_intro zenon_H55. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H49. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.35/1.55 apply (zenon_L225_); trivial. % 1.35/1.55 apply (zenon_L292_); trivial. % 1.35/1.55 (* end of lemma zenon_L654_ *) % 1.35/1.55 assert (zenon_L655_ : ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (~(hskp20)) -> (~(hskp18)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> False). % 1.35/1.55 do 0 intro. intros zenon_H57 zenon_H3a zenon_H1d8 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc zenon_H3e zenon_H40 zenon_H44. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H42 | zenon_intro zenon_H52 ]. % 1.35/1.55 apply (zenon_L20_); trivial. % 1.35/1.55 apply (zenon_L654_); trivial. % 1.35/1.55 (* end of lemma zenon_L655_ *) % 1.35/1.55 assert (zenon_L656_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a224))) -> (c0_1 (a224)) -> (c3_1 (a224)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.35/1.55 do 0 intro. intros zenon_H21c zenon_Hb4 zenon_Ha5 zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H14d zenon_H15e zenon_H134 zenon_H3 zenon_H7f zenon_H11e zenon_H57 zenon_H3a zenon_H1d8 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H122 zenon_H123 zenon_H124 zenon_H1dc zenon_H44 zenon_H13b zenon_H9 zenon_H18e zenon_H18d zenon_H18c zenon_H265 zenon_H15f zenon_H254 zenon_H253 zenon_H21a zenon_H13a zenon_H69. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.35/1.55 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.35/1.55 apply (zenon_L655_); trivial. % 1.35/1.55 apply (zenon_L456_); trivial. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.35/1.55 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.35/1.55 apply (zenon_L400_); trivial. % 1.35/1.55 apply (zenon_L94_); trivial. % 1.35/1.55 apply (zenon_L456_); trivial. % 1.35/1.55 apply (zenon_L618_); trivial. % 1.35/1.55 (* end of lemma zenon_L656_ *) % 1.35/1.55 assert (zenon_L657_ : ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp20))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((forall X88 : zenon_U, ((ndr1_0)->((c3_1 X88)\/((~(c0_1 X88))\/(~(c2_1 X88))))))\/(hskp27)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/((hskp10)\/(hskp11))) -> (~(hskp10)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp20)\/(hskp13))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (ndr1_0) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.35/1.55 do 0 intro. intros zenon_Hb7 zenon_H1a7 zenon_H13b zenon_H44 zenon_H57 zenon_H11e zenon_Hb4 zenon_Ha5 zenon_H15f zenon_H265 zenon_H235 zenon_H22c zenon_H22b zenon_H22a zenon_H14d zenon_H18a zenon_H15e zenon_H1dc zenon_H124 zenon_H123 zenon_H122 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H7f zenon_H3 zenon_H134 zenon_H3a zenon_H20f zenon_H13 zenon_H15a zenon_H1 zenon_H21a zenon_H17f zenon_H1d8 zenon_H13a zenon_H21f zenon_H3d zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H10 zenon_H62 zenon_H65 zenon_H69. % 1.35/1.55 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.55 apply (zenon_L417_); trivial. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.55 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.35/1.55 apply (zenon_L226_); trivial. % 1.35/1.55 apply (zenon_L603_); trivial. % 1.35/1.55 apply (zenon_L653_); trivial. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.55 apply (zenon_L505_); trivial. % 1.35/1.55 apply (zenon_L656_); trivial. % 1.35/1.55 apply (zenon_L653_); trivial. % 1.35/1.55 (* end of lemma zenon_L657_ *) % 1.35/1.55 assert (zenon_L658_ : ((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.35/1.55 do 0 intro. intros zenon_Hf2 zenon_Hb4 zenon_H8d zenon_H57 zenon_Hd1 zenon_H8b zenon_H44 zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H23f zenon_H241 zenon_H69. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.35/1.55 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.35/1.55 apply (zenon_L57_); trivial. % 1.35/1.55 apply (zenon_L482_); trivial. % 1.35/1.55 apply (zenon_L55_); trivial. % 1.35/1.55 (* end of lemma zenon_L658_ *) % 1.35/1.55 assert (zenon_L659_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((c2_1 X8)\/(~(c1_1 X8))))))\/(hskp3))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (c3_1 (a228)) -> (~(c2_1 (a228))) -> (~(c1_1 (a228))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.35/1.55 do 0 intro. intros zenon_H39 zenon_H21f zenon_Ha5 zenon_H69 zenon_H265 zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H14d zenon_H163 zenon_H15f zenon_H21a zenon_H17f zenon_H13a zenon_H15e zenon_H26d zenon_H254 zenon_H253 zenon_H252 zenon_H245 zenon_H244 zenon_H243 zenon_H184 zenon_H75 zenon_H6c zenon_H6d zenon_H7f zenon_H1d8 zenon_H27d zenon_H1dc zenon_H124 zenon_H123 zenon_H122 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.55 apply (zenon_L505_); trivial. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.35/1.55 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.35/1.55 apply (zenon_L514_); trivial. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.35/1.55 apply (zenon_L650_); trivial. % 1.35/1.55 apply (zenon_L528_); trivial. % 1.35/1.55 (* end of lemma zenon_L659_ *) % 1.35/1.55 assert (zenon_L660_ : ((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (c3_1 (a228)) -> (~(c2_1 (a228))) -> (~(c1_1 (a228))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (~(c1_1 (a230))) -> (c2_1 (a230)) -> (c3_1 (a230)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c1_1 X34)\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> False). % 1.35/1.55 do 0 intro. intros zenon_H21c zenon_Ha5 zenon_H69 zenon_H15f zenon_H265 zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H14d zenon_H13b zenon_H9 zenon_H18e zenon_H18d zenon_H18c zenon_H21a zenon_H13a zenon_H15e zenon_H26d zenon_H254 zenon_H253 zenon_H252 zenon_H245 zenon_H244 zenon_H243 zenon_H1dc zenon_H124 zenon_H123 zenon_H122 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H184 zenon_H21 zenon_H20 zenon_H1f zenon_H75 zenon_H6c zenon_H6d zenon_H7f zenon_H1d8 zenon_H3a zenon_H27d. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.35/1.55 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.35/1.55 apply (zenon_L514_); trivial. % 1.35/1.55 apply (zenon_L618_); trivial. % 1.35/1.55 (* end of lemma zenon_L660_ *) % 1.35/1.55 assert (zenon_L661_ : ((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c0_1 (a229))) -> (c2_1 (a229)) -> (c3_1 (a229)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(hskp3)) -> (~(c3_1 (a259))) -> (c0_1 (a259)) -> (c1_1 (a259)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> (~(c3_1 (a238))) -> (c2_1 (a238)) -> (c0_1 (a238)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(hskp18)) -> False). % 1.35/1.55 do 0 intro. intros zenon_H278 zenon_H21a zenon_H1f zenon_H20 zenon_Hc8 zenon_Hc9 zenon_Hca zenon_H184 zenon_H15f zenon_H59 zenon_H5a zenon_H5b zenon_H265 zenon_H263 zenon_H16 zenon_H14 zenon_H15 zenon_H254 zenon_H253 zenon_H252 zenon_H40. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H27a. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H26f. zenon_intro zenon_H27b. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H270. zenon_intro zenon_H271. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.35/1.55 apply (zenon_L535_); trivial. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.35/1.55 apply (zenon_L422_); trivial. % 1.35/1.55 apply (zenon_L421_); trivial. % 1.35/1.55 (* end of lemma zenon_L661_ *) % 1.35/1.55 assert (zenon_L662_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a229)) -> (c2_1 (a229)) -> (~(c0_1 (a229))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (c3_1 (a228)) -> (~(c2_1 (a228))) -> (~(c1_1 (a228))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.35/1.55 do 0 intro. intros zenon_H39 zenon_Hb4 zenon_H8d zenon_H57 zenon_Hd1 zenon_H8b zenon_Hca zenon_Hc9 zenon_Hc8 zenon_H44 zenon_H26d zenon_H254 zenon_H253 zenon_H252 zenon_H245 zenon_H244 zenon_H243 zenon_H184 zenon_H20 zenon_H1f zenon_H265 zenon_H15f zenon_H263 zenon_H21a zenon_H27d zenon_H69. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.35/1.55 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.35/1.55 apply (zenon_L57_); trivial. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H10. zenon_intro zenon_H66. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H5a. zenon_intro zenon_H67. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H5b. zenon_intro zenon_H59. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H26b | zenon_intro zenon_H278 ]. % 1.35/1.55 apply (zenon_L450_); trivial. % 1.35/1.55 apply (zenon_L661_); trivial. % 1.35/1.55 apply (zenon_L55_); trivial. % 1.35/1.55 (* end of lemma zenon_L662_ *) % 1.35/1.55 assert (zenon_L663_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a229))) -> (c3_1 (a229)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> (~(c0_1 (a220))) -> (~(c3_1 (a220))) -> (c2_1 (a220)) -> (~(c1_1 (a228))) -> (~(c2_1 (a228))) -> (c3_1 (a228)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.35/1.55 do 0 intro. intros zenon_H21f zenon_H13a zenon_H21a zenon_Hc8 zenon_Hca zenon_H253 zenon_H254 zenon_Heb zenon_H1cf zenon_H1d0 zenon_H1d1 zenon_H243 zenon_H244 zenon_H245 zenon_H1dc zenon_H10 zenon_H18c zenon_H18d zenon_H18e zenon_H9 zenon_H13b zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.35/1.55 apply (zenon_L136_); trivial. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.35/1.55 apply (zenon_L406_); trivial. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.35/1.55 apply (zenon_L476_); trivial. % 1.35/1.55 apply (zenon_L87_); trivial. % 1.35/1.55 apply (zenon_L268_); trivial. % 1.35/1.55 apply (zenon_L539_); trivial. % 1.35/1.55 (* end of lemma zenon_L663_ *) % 1.35/1.55 assert (zenon_L664_ : ((ndr1_0)/\((c2_1 (a229))/\((c3_1 (a229))/\(~(c0_1 (a229)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c1_1 (a236)))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c1_1 (a237))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((hskp14)\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(c3_1 (a223)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp18))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X1 : zenon_U, ((ndr1_0)->((~(c1_1 X1))\/((~(c2_1 X1))\/(~(c3_1 X1)))))))) -> (~(c1_1 (a228))) -> (~(c2_1 (a228))) -> (c3_1 (a228)) -> ((forall X64 : zenon_U, ((ndr1_0)->((c1_1 X64)\/((c2_1 X64)\/(~(c3_1 X64))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp26))) -> ((hskp20)\/((hskp18)\/(hskp23))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c0_1 (a278)))/\((~(c2_1 (a278)))/\(~(c3_1 (a278))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a247))/\((c3_1 (a247))/\(~(c2_1 (a247))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp20)\/(hskp13))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((hskp4)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> False). % 1.35/1.55 do 0 intro. intros zenon_Hf2 zenon_Hb7 zenon_H1a7 zenon_H3a zenon_H20f zenon_H13b zenon_H1dc zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H13a zenon_H21f zenon_Heb zenon_H18a zenon_H27d zenon_H21a zenon_H263 zenon_H15f zenon_H265 zenon_H184 zenon_H243 zenon_H244 zenon_H245 zenon_H26d zenon_H44 zenon_H8b zenon_Hd1 zenon_H57 zenon_H8d zenon_Hb4 zenon_H3d zenon_H25b zenon_H254 zenon_H253 zenon_H252 zenon_H62 zenon_H65 zenon_H69. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.35/1.55 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.55 apply (zenon_L417_); trivial. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.55 apply (zenon_L532_); trivial. % 1.35/1.55 apply (zenon_L662_); trivial. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.55 apply (zenon_L663_); trivial. % 1.35/1.55 apply (zenon_L662_); trivial. % 1.35/1.55 (* end of lemma zenon_L664_ *) % 1.35/1.55 assert (zenon_L665_ : ((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a228)) -> (~(c2_1 (a228))) -> (~(c1_1 (a228))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> False). % 1.35/1.55 do 0 intro. intros zenon_H159 zenon_H3a zenon_H20f zenon_H20d zenon_H21 zenon_H20 zenon_H1f zenon_H13b zenon_H9 zenon_H18e zenon_H18d zenon_H18c zenon_H1dc zenon_H245 zenon_H244 zenon_H243 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H21a zenon_H13a. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H10. zenon_intro zenon_H15b. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H152. zenon_intro zenon_H15c. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.35/1.55 apply (zenon_L136_); trivial. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.35/1.55 apply (zenon_L406_); trivial. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.35/1.55 apply (zenon_L360_); trivial. % 1.35/1.55 apply (zenon_L87_); trivial. % 1.35/1.55 apply (zenon_L268_); trivial. % 1.35/1.55 (* end of lemma zenon_L665_ *) % 1.35/1.55 assert (zenon_L666_ : ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> (~(hskp17)) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/((hskp28)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a228)) -> (~(c2_1 (a228))) -> (~(c1_1 (a228))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> (ndr1_0) -> (~(c2_1 (a221))) -> (c0_1 (a221)) -> (c1_1 (a221)) -> (~(hskp20)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> False). % 1.35/1.55 do 0 intro. intros zenon_H15e zenon_H3a zenon_H20f zenon_H20d zenon_H21 zenon_H20 zenon_H1f zenon_H13b zenon_H9 zenon_H18e zenon_H18d zenon_H18c zenon_H1dc zenon_H245 zenon_H244 zenon_H243 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H21a zenon_H13a zenon_H10 zenon_H142 zenon_H143 zenon_H144 zenon_H3e zenon_H14d. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14b | zenon_intro zenon_H159 ]. % 1.35/1.55 apply (zenon_L101_); trivial. % 1.35/1.55 apply (zenon_L665_); trivial. % 1.35/1.55 (* end of lemma zenon_L666_ *) % 1.35/1.55 assert (zenon_L667_ : ((ndr1_0)/\((c0_1 (a238))/\((c2_1 (a238))/\(~(c3_1 (a238)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a243)))/\((~(c1_1 (a243)))/\(~(c2_1 (a243))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a259))/\((c1_1 (a259))/\(~(c3_1 (a259))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c1_1 X39))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a213)) -> (c1_1 (a213)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/((hskp20)\/(hskp21))) -> (c1_1 (a221)) -> (c0_1 (a221)) -> (~(c2_1 (a221))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (~(c0_1 (a214))) -> (c1_1 (a214)) -> (c2_1 (a214)) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((~(hskp21))\/((ndr1_0)/\((c1_1 (a260))/\((~(c0_1 (a260)))/\(~(c2_1 (a260))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((~(c0_1 X42))\/(~(c3_1 X42))))))\/(hskp27))) -> (c3_1 (a224)) -> (c0_1 (a224)) -> (~(c1_1 (a224))) -> (c2_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a220))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> ((forall X58 : zenon_U, ((ndr1_0)->((c1_1 X58)\/((c2_1 X58)\/(c3_1 X58)))))\/((forall X18 : zenon_U, ((ndr1_0)->((~(c0_1 X18))\/((~(c2_1 X18))\/(~(c3_1 X18))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a232))/\((c2_1 (a232))/\(c3_1 (a232)))))) -> False). % 1.35/1.55 do 0 intro. intros zenon_H39 zenon_H21f zenon_H69 zenon_H265 zenon_H15f zenon_H254 zenon_H253 zenon_H14d zenon_H144 zenon_H143 zenon_H142 zenon_H21a zenon_H17f zenon_H22a zenon_H22b zenon_H22c zenon_H62 zenon_H235 zenon_H13a zenon_H15e zenon_H1dc zenon_H124 zenon_H123 zenon_H122 zenon_H1d1 zenon_H1d0 zenon_H1cf zenon_H1f zenon_H20 zenon_H21 zenon_H20f zenon_H3a. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.55 apply (zenon_L505_); trivial. % 1.35/1.55 apply (zenon_L630_); trivial. % 1.35/1.55 (* end of lemma zenon_L667_ *) % 1.35/1.55 assert (zenon_L668_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a213))) -> (~(c1_1 (a236))) -> (~(c2_1 (a236))) -> (~(c2_1 (a216))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (~(c0_1 (a216))) -> (c3_1 (a216)) -> (c1_1 (a213)) -> (c3_1 (a213)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp28)) -> (~(c2_1 (a252))) -> (c1_1 (a252)) -> (~(c3_1 (a252))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.35/1.55 do 0 intro. intros zenon_H21a zenon_H252 zenon_H1f zenon_H20 zenon_H1f9 zenon_H293 zenon_H1ec zenon_H1ed zenon_H253 zenon_H254 zenon_Heb zenon_H235 zenon_H109 zenon_H90 zenon_H91 zenon_H8f zenon_H15 zenon_H14 zenon_H16 zenon_H17f zenon_H22c zenon_H22b zenon_H22a zenon_H10 zenon_H62. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.35/1.55 apply (zenon_L566_); trivial. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.35/1.55 apply (zenon_L575_); trivial. % 1.35/1.55 apply (zenon_L606_); trivial. % 1.35/1.55 (* end of lemma zenon_L668_ *) % 1.35/1.55 assert (zenon_L669_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/(forall X15 : zenon_U, ((ndr1_0)->((~(c0_1 X15))\/((~(c1_1 X15))\/(~(c3_1 X15))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False). % 1.35/1.55 do 0 intro. intros zenon_Ha1 zenon_H13a zenon_H293 zenon_H254 zenon_H253 zenon_H252 zenon_H20 zenon_H1f zenon_H1ed zenon_H1f9 zenon_H1ec zenon_Heb zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H15 zenon_H14 zenon_H16 zenon_H17f zenon_H21a. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.35/1.55 apply (zenon_L668_); trivial. % 1.35/1.55 apply (zenon_L587_); trivial. % 1.35/1.55 (* end of lemma zenon_L669_ *) % 1.35/1.55 assert (zenon_L670_ : ((ndr1_0)/\((c1_1 (a252))/\((~(c2_1 (a252)))/\(~(c3_1 (a252)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a246))/\((c1_1 (a246))/\(c2_1 (a246)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c0_1 X30)\/((c2_1 X30)\/(~(c3_1 X30))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c1_1 X31)\/((c2_1 X31)\/(~(c0_1 X31))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((~(c1_1 X11))\/(~(c3_1 X11)))))))) -> (c3_1 (a213)) -> (c1_1 (a213)) -> (~(c2_1 (a213))) -> (~(c2_1 (a236))) -> (~(c1_1 (a236))) -> (c3_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a216))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c1_1 X7)\/(~(c3_1 X7))))))\/((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c2_1 X13))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c1_1 (a237))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((c3_1 X36)\/(~(c1_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c1_1 X37))\/(~(c2_1 X37))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a214)) -> (c1_1 (a214)) -> (~(c0_1 (a214))) -> (c0_1 (a238)) -> (c2_1 (a238)) -> (~(c3_1 (a238))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c1_1 X4)\/((c3_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c2_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c2_1 W)))))))) -> False). % 1.35/1.55 do 0 intro. intros zenon_Ha1 zenon_H13a zenon_H293 zenon_H254 zenon_H253 zenon_H252 zenon_H20 zenon_H1f zenon_H1ed zenon_H1f9 zenon_H1ec zenon_H1bd zenon_H1b4 zenon_H18e zenon_H18d zenon_H18c zenon_H235 zenon_H62 zenon_H22c zenon_H22b zenon_H22a zenon_H15 zenon_H14 zenon_H16 zenon_H17f zenon_H21a. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H10. zenon_intro zenon_Ha2. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H91. zenon_intro zenon_Ha3. % 1.35/1.55 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H90. zenon_intro zenon_H8f. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.35/1.55 apply (zenon_L566_); trivial. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.35/1.55 apply (zenon_L270_); trivial. % 1.35/1.55 apply (zenon_L606_); trivial. % 1.35/1.55 apply (zenon_L571_); trivial. % 1.35/1.55 (* end of lemma zenon_L670_ *) % 1.35/1.55 apply NNPP. intro zenon_G. % 1.35/1.55 apply zenon_G. zenon_intro zenon_H295. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H297. zenon_intro zenon_H296. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H299. zenon_intro zenon_H298. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H29b. zenon_intro zenon_H29a. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H29d. zenon_intro zenon_H29c. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H225. zenon_intro zenon_H29e. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H1e7. zenon_intro zenon_H29f. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H1e8. zenon_intro zenon_H2a0. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H1a6. zenon_intro zenon_H2a1. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H139. zenon_intro zenon_H2a2. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H28b. zenon_intro zenon_H2a3. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_Hf5. zenon_intro zenon_H2a4. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_Hf1. zenon_intro zenon_H2a5. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_Hc7. zenon_intro zenon_H2a6. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_Hb7. zenon_intro zenon_H2a7. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H1a7. zenon_intro zenon_H2a8. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H3d. zenon_intro zenon_H2a9. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H2ab. zenon_intro zenon_H2aa. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H21f. zenon_intro zenon_H2ac. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_Hb4. zenon_intro zenon_H2ad. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_Ha5. zenon_intro zenon_H2ae. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H69. zenon_intro zenon_H2af. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H15e. zenon_intro zenon_H2b0. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2b2. zenon_intro zenon_H2b1. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H57. zenon_intro zenon_H2b3. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H13c. zenon_intro zenon_H2b4. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H2b6. zenon_intro zenon_H2b5. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H27d. zenon_intro zenon_H2b7. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H3a. zenon_intro zenon_H2b8. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H13a. zenon_intro zenon_H2b9. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H21a. zenon_intro zenon_H2ba. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_Hc2. zenon_intro zenon_H2bb. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H28f. zenon_intro zenon_H2bc. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2be. zenon_intro zenon_H2bd. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H1a4. zenon_intro zenon_H2bf. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_H207. zenon_intro zenon_H2c0. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H163. zenon_intro zenon_H2c1. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H291. zenon_intro zenon_H2c2. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H1bd. zenon_intro zenon_H2c3. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_Heb. zenon_intro zenon_H2c4. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H1d8. zenon_intro zenon_H2c5. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hd1. zenon_intro zenon_H2c6. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_Hec. zenon_intro zenon_H2c7. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H2c9. zenon_intro zenon_H2c8. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2c8). zenon_intro zenon_H220. zenon_intro zenon_H2ca. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H53. zenon_intro zenon_H2cb. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H27e. zenon_intro zenon_H2cc. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H15a. zenon_intro zenon_H2cd. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H293. zenon_intro zenon_H2ce. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H1fe. zenon_intro zenon_H2cf. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H235. zenon_intro zenon_H2d0. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H1e2. zenon_intro zenon_H2d1. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H1dc. zenon_intro zenon_H2d2. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H241. zenon_intro zenon_H2d3. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H2d5. zenon_intro zenon_H2d4. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H233. zenon_intro zenon_H2d6. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H186. zenon_intro zenon_H2d7. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H18a. zenon_intro zenon_H2d8. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H2da. zenon_intro zenon_H2d9. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H184. zenon_intro zenon_H2db. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H8d. zenon_intro zenon_H2dc. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H35. zenon_intro zenon_H2dd. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H20f. zenon_intro zenon_H2de. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H134. zenon_intro zenon_H2df. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H26d. zenon_intro zenon_H2e0. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H17f. zenon_intro zenon_H2e1. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H263. zenon_intro zenon_H2e2. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H13b. zenon_intro zenon_H2e3. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H2e5. zenon_intro zenon_H2e4. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H7f. zenon_intro zenon_H2e6. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H286. zenon_intro zenon_H2e7. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_Hb1. zenon_intro zenon_H2e8. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H2ea. zenon_intro zenon_H2e9. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H1b8. zenon_intro zenon_H2eb. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H14d. zenon_intro zenon_H2ec. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H25b. zenon_intro zenon_H2ed. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H2ef. zenon_intro zenon_H2ee. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H265. zenon_intro zenon_H2f0. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H161. zenon_intro zenon_H2f1. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H9f. zenon_intro zenon_H2f2. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H65. zenon_intro zenon_H2f3. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H13. zenon_intro zenon_H2f4. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H11e. zenon_intro zenon_H2f5. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H279. zenon_intro zenon_H2f6. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H44. zenon_intro zenon_H2f7. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_Hd. zenon_intro zenon_H2f8. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_Hf6. zenon_intro zenon_H2f9. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H2fb. zenon_intro zenon_H2fa. % 1.35/1.55 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H2fc. zenon_intro zenon_H7. % 1.35/1.55 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H32 | zenon_intro zenon_H2fd ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H205 | zenon_intro zenon_H2fe ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H15f | zenon_intro zenon_H2ff ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H62 | zenon_intro zenon_H226 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H8b | zenon_intro zenon_H1e4 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L4_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_L16_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_L53_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.35/1.56 apply (zenon_L60_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.35/1.56 apply (zenon_L82_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.35/1.56 apply (zenon_L98_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H10. zenon_intro zenon_H1e5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H143. zenon_intro zenon_H1e6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H144. zenon_intro zenon_H142. % 1.35/1.56 apply (zenon_L147_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H10. zenon_intro zenon_H227. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ad. zenon_intro zenon_H228. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.35/1.56 apply (zenon_L236_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H10. zenon_intro zenon_H300. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H1ed. zenon_intro zenon_H301. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H1ec. zenon_intro zenon_H1f9. % 1.35/1.56 apply (zenon_L336_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H10. zenon_intro zenon_H302. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H22b. zenon_intro zenon_H303. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H22c. zenon_intro zenon_H22a. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H15f | zenon_intro zenon_H2ff ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H62 | zenon_intro zenon_H226 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1e9 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H8b | zenon_intro zenon_H1e4 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_L340_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.35/1.56 apply (zenon_L338_); trivial. % 1.35/1.56 apply (zenon_L78_); trivial. % 1.35/1.56 apply (zenon_L81_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H10. zenon_intro zenon_H1e5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H143. zenon_intro zenon_H1e6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H144. zenon_intro zenon_H142. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_L351_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_L352_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L62_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.35/1.56 apply (zenon_L76_); trivial. % 1.35/1.56 apply (zenon_L348_); trivial. % 1.35/1.56 apply (zenon_L63_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_L339_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_L357_); trivial. % 1.35/1.56 apply (zenon_L358_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_L357_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H14b | zenon_intro zenon_H159 ]. % 1.35/1.56 apply (zenon_L101_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H10. zenon_intro zenon_H15b. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H152. zenon_intro zenon_H15c. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.35/1.56 apply (zenon_L136_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H11d). zenon_intro zenon_H10. zenon_intro zenon_H11f. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_H10c. zenon_intro zenon_H120. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H120). zenon_intro zenon_H10d. zenon_intro zenon_H10e. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H209 | zenon_intro zenon_H21b ]. % 1.35/1.56 apply (zenon_L359_); trivial. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H16a | zenon_intro zenon_H10b ]. % 1.35/1.56 apply (zenon_L360_); trivial. % 1.35/1.56 apply (zenon_L87_); trivial. % 1.35/1.56 apply (zenon_L131_); trivial. % 1.35/1.56 apply (zenon_L40_); trivial. % 1.35/1.56 apply (zenon_L15_); trivial. % 1.35/1.56 apply (zenon_L52_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_L352_); trivial. % 1.35/1.56 apply (zenon_L146_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H10. zenon_intro zenon_H1ea. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d1. zenon_intro zenon_H1eb. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1cf. zenon_intro zenon_H1d0. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H8b | zenon_intro zenon_H1e4 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_L340_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_L364_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L295_); trivial. % 1.35/1.56 apply (zenon_L365_); trivial. % 1.35/1.56 apply (zenon_L370_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H10. zenon_intro zenon_H1e5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H143. zenon_intro zenon_H1e6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H144. zenon_intro zenon_H142. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_L351_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_L352_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L371_); trivial. % 1.35/1.56 apply (zenon_L365_); trivial. % 1.35/1.56 apply (zenon_L373_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H10. zenon_intro zenon_H227. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ad. zenon_intro zenon_H228. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1e9 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H8b | zenon_intro zenon_H1e4 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L374_); trivial. % 1.35/1.56 apply (zenon_L375_); trivial. % 1.35/1.56 apply (zenon_L167_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L374_); trivial. % 1.35/1.56 apply (zenon_L171_); trivial. % 1.35/1.56 apply (zenon_L174_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L376_); trivial. % 1.35/1.56 apply (zenon_L375_); trivial. % 1.35/1.56 apply (zenon_L176_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L377_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.35/1.56 apply (zenon_L338_); trivial. % 1.35/1.56 apply (zenon_L170_); trivial. % 1.35/1.56 apply (zenon_L176_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H10. zenon_intro zenon_H1e5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H143. zenon_intro zenon_H1e6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H144. zenon_intro zenon_H142. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_L185_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L376_); trivial. % 1.35/1.56 apply (zenon_L183_); trivial. % 1.35/1.56 apply (zenon_L186_); trivial. % 1.35/1.56 apply (zenon_L184_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H10. zenon_intro zenon_H1ea. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d1. zenon_intro zenon_H1eb. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1cf. zenon_intro zenon_H1d0. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H8b | zenon_intro zenon_H1e4 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L378_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.35/1.56 apply (zenon_L338_); trivial. % 1.35/1.56 apply (zenon_L212_); trivial. % 1.35/1.56 apply (zenon_L222_); trivial. % 1.35/1.56 apply (zenon_L224_); trivial. % 1.35/1.56 apply (zenon_L370_); trivial. % 1.35/1.56 apply (zenon_L235_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H10. zenon_intro zenon_H300. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H1ed. zenon_intro zenon_H301. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H1ec. zenon_intro zenon_H1f9. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H62 | zenon_intro zenon_H226 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1e9 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H8b | zenon_intro zenon_H1e4 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_L340_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.35/1.56 apply (zenon_L338_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L379_); trivial. % 1.35/1.56 apply (zenon_L63_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L7_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.35/1.56 apply (zenon_L276_); trivial. % 1.35/1.56 apply (zenon_L55_); trivial. % 1.35/1.56 apply (zenon_L59_); trivial. % 1.35/1.56 apply (zenon_L247_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_L340_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L377_); trivial. % 1.35/1.56 apply (zenon_L247_); trivial. % 1.35/1.56 apply (zenon_L285_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H10. zenon_intro zenon_H1e5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H143. zenon_intro zenon_H1e6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H144. zenon_intro zenon_H142. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_L339_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L350_); trivial. % 1.35/1.56 apply (zenon_L389_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_L391_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L62_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.35/1.56 apply (zenon_L276_); trivial. % 1.35/1.56 apply (zenon_L348_); trivial. % 1.35/1.56 apply (zenon_L63_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_L339_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L392_); trivial. % 1.35/1.56 apply (zenon_L349_); trivial. % 1.35/1.56 apply (zenon_L358_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L392_); trivial. % 1.35/1.56 apply (zenon_L15_); trivial. % 1.35/1.56 apply (zenon_L273_); trivial. % 1.35/1.56 apply (zenon_L52_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_L352_); trivial. % 1.35/1.56 apply (zenon_L285_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H10. zenon_intro zenon_H1ea. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d1. zenon_intro zenon_H1eb. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1cf. zenon_intro zenon_H1d0. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H8b | zenon_intro zenon_H1e4 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.35/1.56 apply (zenon_L338_); trivial. % 1.35/1.56 apply (zenon_L393_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.35/1.56 apply (zenon_L338_); trivial. % 1.35/1.56 apply (zenon_L291_); trivial. % 1.35/1.56 apply (zenon_L298_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_L364_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L295_); trivial. % 1.35/1.56 apply (zenon_L247_); trivial. % 1.35/1.56 apply (zenon_L370_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H10. zenon_intro zenon_H1e5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H143. zenon_intro zenon_H1e6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H144. zenon_intro zenon_H142. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H23f | zenon_intro zenon_H283 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L390_); trivial. % 1.35/1.56 apply (zenon_L404_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L371_); trivial. % 1.35/1.56 apply (zenon_L404_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H10. zenon_intro zenon_H284. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H245. zenon_intro zenon_H285. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L390_); trivial. % 1.35/1.56 apply (zenon_L411_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L371_); trivial. % 1.35/1.56 apply (zenon_L411_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_L391_); trivial. % 1.35/1.56 apply (zenon_L412_); trivial. % 1.35/1.56 apply (zenon_L373_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H10. zenon_intro zenon_H227. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H1ad. zenon_intro zenon_H228. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H228). zenon_intro zenon_H1ab. zenon_intro zenon_H1ac. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1e9 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H8b | zenon_intro zenon_H1e4 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L374_); trivial. % 1.35/1.56 apply (zenon_L413_); trivial. % 1.35/1.56 apply (zenon_L323_); trivial. % 1.35/1.56 apply (zenon_L326_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L376_); trivial. % 1.35/1.56 apply (zenon_L413_); trivial. % 1.35/1.56 apply (zenon_L176_); trivial. % 1.35/1.56 apply (zenon_L329_); trivial. % 1.35/1.56 apply (zenon_L332_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H10. zenon_intro zenon_H1ea. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d1. zenon_intro zenon_H1eb. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1cf. zenon_intro zenon_H1d0. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H8b | zenon_intro zenon_H1e4 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L378_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_H9d | zenon_intro zenon_Hc4 ]. % 1.35/1.56 apply (zenon_L338_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H10. zenon_intro zenon_Hc5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Hb9. zenon_intro zenon_Hc6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hba. zenon_intro zenon_Hbb. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.35/1.56 apply (zenon_L290_); trivial. % 1.35/1.56 apply (zenon_L209_); trivial. % 1.35/1.56 apply (zenon_L335_); trivial. % 1.35/1.56 apply (zenon_L326_); trivial. % 1.35/1.56 apply (zenon_L370_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H10. zenon_intro zenon_H1e5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H143. zenon_intro zenon_H1e6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H144. zenon_intro zenon_H142. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L7_); trivial. % 1.35/1.56 apply (zenon_L331_); trivial. % 1.35/1.56 apply (zenon_L414_); trivial. % 1.35/1.56 apply (zenon_L373_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H10. zenon_intro zenon_H304. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H253. zenon_intro zenon_H305. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H254. zenon_intro zenon_H252. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H205 | zenon_intro zenon_H2fe ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H15f | zenon_intro zenon_H2ff ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H62 | zenon_intro zenon_H226 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1e9 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H8b | zenon_intro zenon_H1e4 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H23f | zenon_intro zenon_H283 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L431_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_L448_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.35/1.56 apply (zenon_L242_); trivial. % 1.35/1.56 apply (zenon_L449_); trivial. % 1.35/1.56 apply (zenon_L451_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H23f | zenon_intro zenon_H283 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L431_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_L448_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L458_); trivial. % 1.35/1.56 apply (zenon_L447_); trivial. % 1.35/1.56 apply (zenon_L451_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_L461_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H23f | zenon_intro zenon_H283 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.35/1.56 apply (zenon_L460_); trivial. % 1.35/1.56 apply (zenon_L438_); trivial. % 1.35/1.56 apply (zenon_L465_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L467_); trivial. % 1.35/1.56 apply (zenon_L465_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L439_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.56 apply (zenon_L466_); trivial. % 1.35/1.56 apply (zenon_L446_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L458_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.56 apply (zenon_L418_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.35/1.56 apply (zenon_L469_); trivial. % 1.35/1.56 apply (zenon_L442_); trivial. % 1.35/1.56 apply (zenon_L445_); trivial. % 1.35/1.56 apply (zenon_L451_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H10. zenon_intro zenon_H1e5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H143. zenon_intro zenon_H1e6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H144. zenon_intro zenon_H142. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H23f | zenon_intro zenon_H283 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L107_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.35/1.56 apply (zenon_L110_); trivial. % 1.35/1.56 apply (zenon_L449_); trivial. % 1.35/1.56 apply (zenon_L479_); trivial. % 1.35/1.56 apply (zenon_L451_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H23f | zenon_intro zenon_H283 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L431_); trivial. % 1.35/1.56 apply (zenon_L480_); trivial. % 1.35/1.56 apply (zenon_L451_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_L461_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H23f | zenon_intro zenon_H283 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_L475_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L467_); trivial. % 1.35/1.56 apply (zenon_L474_); trivial. % 1.35/1.56 apply (zenon_L451_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H10. zenon_intro zenon_H1ea. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d1. zenon_intro zenon_H1eb. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1cf. zenon_intro zenon_H1d0. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H8b | zenon_intro zenon_H1e4 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H23f | zenon_intro zenon_H283 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L481_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L483_); trivial. % 1.35/1.56 apply (zenon_L488_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.35/1.56 apply (zenon_L491_); trivial. % 1.35/1.56 apply (zenon_L493_); trivial. % 1.35/1.56 apply (zenon_L457_); trivial. % 1.35/1.56 apply (zenon_L488_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H10. zenon_intro zenon_H284. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H245. zenon_intro zenon_H285. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L481_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.35/1.56 apply (zenon_L494_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H26b | zenon_intro zenon_H278 ]. % 1.35/1.56 apply (zenon_L450_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H10. zenon_intro zenon_H27a. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H27a). zenon_intro zenon_H26f. zenon_intro zenon_H27b. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H270. zenon_intro zenon_H271. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H11 | zenon_intro zenon_H34 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H109 | zenon_intro zenon_H11d ]. % 1.35/1.56 apply (zenon_L497_); trivial. % 1.35/1.56 apply (zenon_L399_); trivial. % 1.35/1.56 apply (zenon_L268_); trivial. % 1.35/1.56 apply (zenon_L437_); trivial. % 1.35/1.56 apply (zenon_L499_); trivial. % 1.35/1.56 apply (zenon_L488_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.56 apply (zenon_L502_); trivial. % 1.35/1.56 apply (zenon_L457_); trivial. % 1.35/1.56 apply (zenon_L488_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H23f | zenon_intro zenon_H283 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L504_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L483_); trivial. % 1.35/1.56 apply (zenon_L509_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L510_); trivial. % 1.35/1.56 apply (zenon_L509_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H10. zenon_intro zenon_H284. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H245. zenon_intro zenon_H285. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L504_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L511_); trivial. % 1.35/1.56 apply (zenon_L515_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L510_); trivial. % 1.35/1.56 apply (zenon_L515_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H10. zenon_intro zenon_H1e5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H143. zenon_intro zenon_H1e6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H144. zenon_intro zenon_H142. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H23f | zenon_intro zenon_H283 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L481_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_L518_); trivial. % 1.35/1.56 apply (zenon_L523_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H10. zenon_intro zenon_H284. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H245. zenon_intro zenon_H285. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L481_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.56 apply (zenon_L522_); trivial. % 1.35/1.56 apply (zenon_L499_); trivial. % 1.35/1.56 apply (zenon_L517_); trivial. % 1.35/1.56 apply (zenon_L523_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H23f | zenon_intro zenon_H283 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L481_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_L518_); trivial. % 1.35/1.56 apply (zenon_L524_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H10. zenon_intro zenon_H284. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H245. zenon_intro zenon_H285. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L481_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L525_); trivial. % 1.35/1.56 apply (zenon_L517_); trivial. % 1.35/1.56 apply (zenon_L524_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H23f | zenon_intro zenon_H283 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L527_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L470_); trivial. % 1.35/1.56 apply (zenon_L530_); trivial. % 1.35/1.56 apply (zenon_L531_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H10. zenon_intro zenon_Hf3. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf3). zenon_intro zenon_Hc9. zenon_intro zenon_Hf4. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf4). zenon_intro zenon_Hca. zenon_intro zenon_Hc8. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L532_); trivial. % 1.35/1.56 apply (zenon_L192_); trivial. % 1.35/1.56 apply (zenon_L526_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L532_); trivial. % 1.35/1.56 apply (zenon_L530_); trivial. % 1.35/1.56 apply (zenon_L531_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H10. zenon_intro zenon_H284. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H245. zenon_intro zenon_H285. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L527_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L511_); trivial. % 1.35/1.56 apply (zenon_L534_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L510_); trivial. % 1.35/1.56 apply (zenon_L534_); trivial. % 1.35/1.56 apply (zenon_L540_); trivial. % 1.35/1.56 apply (zenon_L564_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H10. zenon_intro zenon_H300. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H1ed. zenon_intro zenon_H301. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H1ec. zenon_intro zenon_H1f9. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H62 | zenon_intro zenon_H226 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1e9 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H8b | zenon_intro zenon_H1e4 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_L573_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H23f | zenon_intro zenon_H283 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L565_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.56 apply (zenon_L418_); trivial. % 1.35/1.56 apply (zenon_L579_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L572_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.56 apply (zenon_L418_); trivial. % 1.35/1.56 apply (zenon_L581_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L565_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.56 apply (zenon_L418_); trivial. % 1.35/1.56 apply (zenon_L583_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L572_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.56 apply (zenon_L418_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H40 | zenon_intro zenon_Ha4 ]. % 1.35/1.56 apply (zenon_L582_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H10. zenon_intro zenon_Ha6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H83. zenon_intro zenon_Ha7. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H84. zenon_intro zenon_H82. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.35/1.56 apply (zenon_L36_); trivial. % 1.35/1.56 apply (zenon_L580_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H10. zenon_intro zenon_H284. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H245. zenon_intro zenon_H285. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H26b | zenon_intro zenon_H278 ]. % 1.35/1.56 apply (zenon_L450_); trivial. % 1.35/1.56 apply (zenon_L585_); trivial. % 1.35/1.56 apply (zenon_L589_); trivial. % 1.35/1.56 apply (zenon_L595_); trivial. % 1.35/1.56 apply (zenon_L602_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H10. zenon_intro zenon_H302. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H22b. zenon_intro zenon_H303. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H22c. zenon_intro zenon_H22a. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H15f | zenon_intro zenon_H2ff ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H62 | zenon_intro zenon_H226 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1e9 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H8b | zenon_intro zenon_H1e4 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L431_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_L613_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.35/1.56 apply (zenon_L242_); trivial. % 1.35/1.56 apply (zenon_L341_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L431_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_L614_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.56 apply (zenon_L453_); trivial. % 1.35/1.56 apply (zenon_L620_); trivial. % 1.35/1.56 apply (zenon_L612_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.35/1.56 apply (zenon_L460_); trivial. % 1.35/1.56 apply (zenon_L341_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.35/1.56 apply (zenon_L463_); trivial. % 1.35/1.56 apply (zenon_L603_); trivial. % 1.35/1.56 apply (zenon_L623_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.56 apply (zenon_L466_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H10. zenon_intro zenon_H21d. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H211. zenon_intro zenon_H21e. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H212. zenon_intro zenon_H213. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.35/1.56 apply (zenon_L463_); trivial. % 1.35/1.56 apply (zenon_L618_); trivial. % 1.35/1.56 apply (zenon_L623_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_L614_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.56 apply (zenon_L453_); trivial. % 1.35/1.56 apply (zenon_L624_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.56 apply (zenon_L453_); trivial. % 1.35/1.56 apply (zenon_L625_); trivial. % 1.35/1.56 apply (zenon_L628_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H10. zenon_intro zenon_H1e5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H143. zenon_intro zenon_H1e6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H144. zenon_intro zenon_H142. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_L343_); trivial. % 1.35/1.56 apply (zenon_L633_); trivial. % 1.35/1.56 apply (zenon_L640_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H50 | zenon_intro zenon_H136 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L107_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.35/1.56 apply (zenon_L642_); trivial. % 1.35/1.56 apply (zenon_L341_); trivial. % 1.35/1.56 apply (zenon_L633_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_H10. zenon_intro zenon_H137. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hd5. zenon_intro zenon_H138. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_L636_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.56 apply (zenon_L466_); trivial. % 1.35/1.56 apply (zenon_L638_); trivial. % 1.35/1.56 apply (zenon_L631_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H10. zenon_intro zenon_H1ea. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1ea). zenon_intro zenon_H1d1. zenon_intro zenon_H1eb. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1eb). zenon_intro zenon_H1cf. zenon_intro zenon_H1d0. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H8b | zenon_intro zenon_H1e4 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H23f | zenon_intro zenon_H283 ]. % 1.35/1.56 apply (zenon_L644_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H10. zenon_intro zenon_H284. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H245. zenon_intro zenon_H285. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L481_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L646_); trivial. % 1.35/1.56 apply (zenon_L651_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.56 apply (zenon_L502_); trivial. % 1.35/1.56 apply (zenon_L652_); trivial. % 1.35/1.56 apply (zenon_L651_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H23f | zenon_intro zenon_H283 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L657_); trivial. % 1.35/1.56 apply (zenon_L643_); trivial. % 1.35/1.56 apply (zenon_L658_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H10. zenon_intro zenon_H284. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H245. zenon_intro zenon_H285. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf2 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L657_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.35/1.56 apply (zenon_L514_); trivial. % 1.35/1.56 apply (zenon_L603_); trivial. % 1.35/1.56 apply (zenon_L659_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.56 apply (zenon_L505_); trivial. % 1.35/1.56 apply (zenon_L660_); trivial. % 1.35/1.56 apply (zenon_L659_); trivial. % 1.35/1.56 apply (zenon_L664_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H10. zenon_intro zenon_H1e5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_H143. zenon_intro zenon_H1e6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_H144. zenon_intro zenon_H142. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H23f | zenon_intro zenon_H283 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H3 | zenon_intro zenon_Hee ]. % 1.35/1.56 apply (zenon_L634_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H10. zenon_intro zenon_Hef. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_H6c. zenon_intro zenon_Hf0. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_H6d. zenon_intro zenon_H75. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_L636_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.35/1.56 apply (zenon_L521_); trivial. % 1.35/1.56 apply (zenon_L482_); trivial. % 1.35/1.56 apply (zenon_L638_); trivial. % 1.35/1.56 apply (zenon_L631_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H10. zenon_intro zenon_H284. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H245. zenon_intro zenon_H285. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H243. zenon_intro zenon_H244. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_L636_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H3e | zenon_intro zenon_H64 ]. % 1.35/1.56 apply (zenon_L666_); trivial. % 1.35/1.56 apply (zenon_L500_); trivial. % 1.35/1.56 apply (zenon_L638_); trivial. % 1.35/1.56 apply (zenon_L631_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L635_); trivial. % 1.35/1.56 apply (zenon_L667_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H20d | zenon_intro zenon_H21c ]. % 1.35/1.56 apply (zenon_L505_); trivial. % 1.35/1.56 apply (zenon_L638_); trivial. % 1.35/1.56 apply (zenon_L667_); trivial. % 1.35/1.56 apply (zenon_L564_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H10. zenon_intro zenon_H300. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H1ed. zenon_intro zenon_H301. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H1ec. zenon_intro zenon_H1f9. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H62 | zenon_intro zenon_H226 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1e9 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a8 ]. % 1.35/1.56 apply (zenon_L573_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a8). zenon_intro zenon_H10. zenon_intro zenon_H1a9. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1a9). zenon_intro zenon_H123. zenon_intro zenon_H1aa. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_H124. zenon_intro zenon_H122. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H5 | zenon_intro zenon_Hb3 ]. % 1.35/1.56 apply (zenon_L417_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H10. zenon_intro zenon_Hb5. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H1f. zenon_intro zenon_Hb6. % 1.35/1.56 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_H20. zenon_intro zenon_H21. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H188 | zenon_intro zenon_H195 ]. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L565_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.35/1.56 apply (zenon_L574_); trivial. % 1.35/1.56 apply (zenon_L669_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H10. zenon_intro zenon_H196. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H18d. zenon_intro zenon_H197. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_H18e. zenon_intro zenon_H18c. % 1.35/1.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H39 ]. % 1.35/1.56 apply (zenon_L572_); trivial. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H10. zenon_intro zenon_H3b. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H15. zenon_intro zenon_H3c. % 1.35/1.56 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H14. zenon_intro zenon_H16. % 1.35/1.56 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7d | zenon_intro zenon_Ha1 ]. % 1.35/1.56 apply (zenon_L574_); trivial. % 1.35/1.56 apply (zenon_L670_); trivial. % 1.35/1.56 apply (zenon_L595_); trivial. % 1.35/1.56 apply (zenon_L602_); trivial. % 1.35/1.56 Qed. % 1.35/1.56 % SZS output end Proof % 1.35/1.56 (* END-PROOF *) % 1.35/1.56 nodes searched: 30316 % 1.35/1.56 max branch formulas: 421 % 1.35/1.56 proof nodes created: 4763 % 1.35/1.56 formulas created: 31287 % 1.35/1.56 %------------------------------------------------------------------------------