%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN459+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n019.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 13:52:53 EDT 2022 % Result : Theorem 0.62s 0.80s % Output : Proof 0.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN459+1 : TPTP v8.1.0. Released v2.1.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n019.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jul 11 19:40:08 EDT 2022 % 0.12/0.34 % CPUTime : % 0.62/0.80 (* PROOF-FOUND *) % 0.62/0.80 % SZS status Theorem % 0.62/0.80 (* BEGIN-PROOF *) % 0.62/0.80 % SZS output start Proof % 0.62/0.80 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((~(c0_1 (a188)))/\((~(c1_1 (a188)))/\(~(c3_1 (a188)))))))/\(((~(hskp1))\/((ndr1_0)/\((c0_1 (a190))/\((c2_1 (a190))/\(~(c3_1 (a190)))))))/\(((~(hskp2))\/((ndr1_0)/\((~(c1_1 (a191)))/\((~(c2_1 (a191)))/\(~(c3_1 (a191)))))))/\(((~(hskp3))\/((ndr1_0)/\((c0_1 (a192))/\((c1_1 (a192))/\(~(c3_1 (a192)))))))/\(((~(hskp4))\/((ndr1_0)/\((c1_1 (a193))/\((~(c0_1 (a193)))/\(~(c3_1 (a193)))))))/\(((~(hskp5))\/((ndr1_0)/\((c0_1 (a194))/\((~(c1_1 (a194)))/\(~(c2_1 (a194)))))))/\(((~(hskp6))\/((ndr1_0)/\((c0_1 (a195))/\((~(c1_1 (a195)))/\(~(c3_1 (a195)))))))/\(((~(hskp7))\/((ndr1_0)/\((c1_1 (a197))/\((~(c0_1 (a197)))/\(~(c2_1 (a197)))))))/\(((~(hskp8))\/((ndr1_0)/\((c1_1 (a198))/\((c3_1 (a198))/\(~(c2_1 (a198)))))))/\(((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199)))))))/\(((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200)))))))/\(((~(hskp11))\/((ndr1_0)/\((c0_1 (a202))/\((~(c2_1 (a202)))/\(~(c3_1 (a202)))))))/\(((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206)))))))/\(((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209)))))))/\(((~(hskp14))\/((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210)))))))/\(((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214)))))))/\(((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221)))))))/\(((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222)))))))/\(((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223)))))))/\(((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225)))))))/\(((~(hskp20))\/((ndr1_0)/\((c2_1 (a233))/\((c3_1 (a233))/\(~(c0_1 (a233)))))))/\(((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257)))))))/\(((~(hskp22))\/((ndr1_0)/\((c3_1 (a259))/\((~(c0_1 (a259)))/\(~(c2_1 (a259)))))))/\(((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189))))))/\(((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))))/\(((~(hskp25))\/((ndr1_0)/\((c0_1 (a230))/\((c1_1 (a230))/\(c2_1 (a230))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/(hskp23)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp3)\/(hskp4)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c1_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp7)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/((hskp8)\/(hskp9)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp10)))/\(((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))))/\(((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp2)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c2_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(hskp0)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10)))/\(((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13)))/\(((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/(hskp14)))/\(((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7)))/\(((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp8)\/(hskp4)))/\(((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/(hskp15)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))))/\(((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp1)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp13)))/\(((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))))/\(((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16)))/\(((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19)))/\(((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))))/\(((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))))/\(((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))))/\(((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X15 : zenon_U, ((ndr1_0)->((~(c1_1 X15))\/((~(c2_1 X15))\/(~(c3_1 X15))))))\/(hskp13)))/\(((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp3)\/(hskp12)))/\(((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp12)))/\(((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp25)\/(hskp16)))/\(((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/((hskp4)\/(hskp20)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/((hskp7)\/(hskp4)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/((hskp7)\/(hskp9)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24)))/\(((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((hskp1)\/(hskp2)))/\(((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5)))/\(((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp16)\/(hskp12)))/\(((hskp25)\/((hskp15)\/(hskp2)))/\(((hskp23)\/((hskp9)\/(hskp2)))/\(((hskp1)\/((hskp9)\/(hskp0)))/\(((hskp5)\/((hskp15)\/(hskp21)))/\(((hskp24)\/((hskp22)\/(hskp2)))/\(((hskp7)\/((hskp14)\/(hskp9)))/\((hskp14)\/((hskp15)\/(hskp12))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.62/0.80 Proof. % 0.62/0.80 assert (zenon_L1_ : (~(hskp14)) -> (hskp14) -> False). % 0.62/0.80 do 0 intro. intros zenon_H1 zenon_H2. % 0.62/0.80 exact (zenon_H1 zenon_H2). % 0.62/0.80 (* end of lemma zenon_L1_ *) % 0.62/0.80 assert (zenon_L2_ : (~(hskp15)) -> (hskp15) -> False). % 0.62/0.80 do 0 intro. intros zenon_H3 zenon_H4. % 0.62/0.80 exact (zenon_H3 zenon_H4). % 0.62/0.80 (* end of lemma zenon_L2_ *) % 0.62/0.80 assert (zenon_L3_ : (~(hskp12)) -> (hskp12) -> False). % 0.62/0.80 do 0 intro. intros zenon_H5 zenon_H6. % 0.62/0.80 exact (zenon_H5 zenon_H6). % 0.62/0.80 (* end of lemma zenon_L3_ *) % 0.62/0.80 assert (zenon_L4_ : ((hskp14)\/((hskp15)\/(hskp12))) -> (~(hskp14)) -> (~(hskp15)) -> (~(hskp12)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.62/0.80 exact (zenon_H1 zenon_H2). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.62/0.80 exact (zenon_H3 zenon_H4). % 0.62/0.80 exact (zenon_H5 zenon_H6). % 0.62/0.80 (* end of lemma zenon_L4_ *) % 0.62/0.80 assert (zenon_L5_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.62/0.80 do 0 intro. intros zenon_H9 zenon_Ha. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 (* end of lemma zenon_L5_ *) % 0.62/0.80 assert (zenon_L6_ : (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26)))))) -> (ndr1_0) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> False). % 0.62/0.80 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hc zenon_Hd zenon_He. % 0.62/0.80 generalize (zenon_Hb (a214)). zenon_intro zenon_Hf. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H9 | zenon_intro zenon_H10 ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ]. % 0.62/0.80 exact (zenon_Hc zenon_H12). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 0.62/0.80 exact (zenon_Hd zenon_H14). % 0.62/0.80 exact (zenon_H13 zenon_He). % 0.62/0.80 (* end of lemma zenon_L6_ *) % 0.62/0.80 assert (zenon_L7_ : (~(hskp11)) -> (hskp11) -> False). % 0.62/0.80 do 0 intro. intros zenon_H15 zenon_H16. % 0.62/0.80 exact (zenon_H15 zenon_H16). % 0.62/0.80 (* end of lemma zenon_L7_ *) % 0.62/0.80 assert (zenon_L8_ : (~(hskp9)) -> (hskp9) -> False). % 0.62/0.80 do 0 intro. intros zenon_H17 zenon_H18. % 0.62/0.80 exact (zenon_H17 zenon_H18). % 0.62/0.80 (* end of lemma zenon_L8_ *) % 0.62/0.80 assert (zenon_L9_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp9)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H19 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H15 zenon_H17. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a ]. % 0.62/0.80 apply (zenon_L6_); trivial. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H16 | zenon_intro zenon_H18 ]. % 0.62/0.80 exact (zenon_H15 zenon_H16). % 0.62/0.80 exact (zenon_H17 zenon_H18). % 0.62/0.80 (* end of lemma zenon_L9_ *) % 0.62/0.80 assert (zenon_L10_ : (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9)))))) -> (~(c1_1 (a210))) -> (c3_1 (a210)) -> (c2_1 (a210)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H1b zenon_Ha zenon_H1c zenon_H1d zenon_H1e zenon_H1f. % 0.62/0.80 generalize (zenon_H1b (a210)). zenon_intro zenon_H20. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_H20); [ zenon_intro zenon_H9 | zenon_intro zenon_H21 ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ]. % 0.62/0.80 generalize (zenon_H1c (a210)). zenon_intro zenon_H24. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H25 ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 0.62/0.80 exact (zenon_H23 zenon_H27). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ]. % 0.62/0.80 exact (zenon_H1d zenon_H29). % 0.62/0.80 exact (zenon_H28 zenon_H1e). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H2a | zenon_intro zenon_H28 ]. % 0.62/0.80 exact (zenon_H2a zenon_H1f). % 0.62/0.80 exact (zenon_H28 zenon_H1e). % 0.62/0.80 (* end of lemma zenon_L10_ *) % 0.62/0.80 assert (zenon_L11_ : (~(hskp23)) -> (hskp23) -> False). % 0.62/0.80 do 0 intro. intros zenon_H2b zenon_H2c. % 0.62/0.80 exact (zenon_H2b zenon_H2c). % 0.62/0.80 (* end of lemma zenon_L11_ *) % 0.62/0.80 assert (zenon_L12_ : (~(hskp5)) -> (hskp5) -> False). % 0.62/0.80 do 0 intro. intros zenon_H2d zenon_H2e. % 0.62/0.80 exact (zenon_H2d zenon_H2e). % 0.62/0.80 (* end of lemma zenon_L12_ *) % 0.62/0.80 assert (zenon_L13_ : ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (c2_1 (a210)) -> (c3_1 (a210)) -> (~(c1_1 (a210))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp5)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H2f zenon_H1f zenon_H1e zenon_H1d zenon_H1c zenon_Ha zenon_H2b zenon_H2d. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H1b | zenon_intro zenon_H30 ]. % 0.62/0.80 apply (zenon_L10_); trivial. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H2c | zenon_intro zenon_H2e ]. % 0.62/0.80 exact (zenon_H2b zenon_H2c). % 0.62/0.80 exact (zenon_H2d zenon_H2e). % 0.62/0.80 (* end of lemma zenon_L13_ *) % 0.62/0.80 assert (zenon_L14_ : (~(hskp3)) -> (hskp3) -> False). % 0.62/0.80 do 0 intro. intros zenon_H31 zenon_H32. % 0.62/0.80 exact (zenon_H31 zenon_H32). % 0.62/0.80 (* end of lemma zenon_L14_ *) % 0.62/0.80 assert (zenon_L15_ : (~(hskp4)) -> (hskp4) -> False). % 0.62/0.80 do 0 intro. intros zenon_H33 zenon_H34. % 0.62/0.80 exact (zenon_H33 zenon_H34). % 0.62/0.80 (* end of lemma zenon_L15_ *) % 0.62/0.80 assert (zenon_L16_ : (forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))) -> (ndr1_0) -> (c0_1 (a189)) -> (c1_1 (a189)) -> (c3_1 (a189)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H35 zenon_Ha zenon_H36 zenon_H37 zenon_H38. % 0.62/0.80 generalize (zenon_H35 (a189)). zenon_intro zenon_H39. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_H39); [ zenon_intro zenon_H9 | zenon_intro zenon_H3a ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 0.62/0.80 exact (zenon_H3c zenon_H36). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ]. % 0.62/0.80 exact (zenon_H3e zenon_H37). % 0.62/0.80 exact (zenon_H3d zenon_H38). % 0.62/0.80 (* end of lemma zenon_L16_ *) % 0.62/0.80 assert (zenon_L17_ : (~(hskp1)) -> (hskp1) -> False). % 0.62/0.80 do 0 intro. intros zenon_H3f zenon_H40. % 0.62/0.80 exact (zenon_H3f zenon_H40). % 0.62/0.80 (* end of lemma zenon_L17_ *) % 0.62/0.80 assert (zenon_L18_ : (~(hskp2)) -> (hskp2) -> False). % 0.62/0.80 do 0 intro. intros zenon_H41 zenon_H42. % 0.62/0.80 exact (zenon_H41 zenon_H42). % 0.62/0.80 (* end of lemma zenon_L18_ *) % 0.62/0.80 assert (zenon_L19_ : ((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((hskp1)\/(hskp2))) -> (~(hskp1)) -> (~(hskp2)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H43 zenon_H44 zenon_H3f zenon_H41. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H35 | zenon_intro zenon_H47 ]. % 0.62/0.80 apply (zenon_L16_); trivial. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H40 | zenon_intro zenon_H42 ]. % 0.62/0.80 exact (zenon_H3f zenon_H40). % 0.62/0.80 exact (zenon_H41 zenon_H42). % 0.62/0.80 (* end of lemma zenon_L19_ *) % 0.62/0.80 assert (zenon_L20_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a210)) -> (c3_1 (a210)) -> (~(c1_1 (a210))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp3)\/(hskp4))) -> False). % 0.62/0.80 do 0 intro. intros zenon_H48 zenon_H44 zenon_H41 zenon_H3f zenon_H2f zenon_H2d zenon_H1f zenon_H1e zenon_H1d zenon_Ha zenon_H31 zenon_H33 zenon_H49. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1c | zenon_intro zenon_H4a ]. % 0.62/0.80 apply (zenon_L13_); trivial. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H32 | zenon_intro zenon_H34 ]. % 0.62/0.80 exact (zenon_H31 zenon_H32). % 0.62/0.80 exact (zenon_H33 zenon_H34). % 0.62/0.80 apply (zenon_L19_); trivial. % 0.62/0.80 (* end of lemma zenon_L20_ *) % 0.62/0.80 assert (zenon_L21_ : (~(hskp6)) -> (hskp6) -> False). % 0.62/0.80 do 0 intro. intros zenon_H4b zenon_H4c. % 0.62/0.80 exact (zenon_H4b zenon_H4c). % 0.62/0.80 (* end of lemma zenon_L21_ *) % 0.62/0.80 assert (zenon_L22_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> (~(c3_1 (a206))) -> (~(c2_1 (a206))) -> (~(c0_1 (a206))) -> (ndr1_0) -> False). % 0.62/0.80 do 0 intro. intros zenon_H4d zenon_H4b zenon_H4e zenon_H4f zenon_H50 zenon_Ha. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H51 | zenon_intro zenon_H4c ]. % 0.62/0.80 generalize (zenon_H51 (a206)). zenon_intro zenon_H52. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_H52); [ zenon_intro zenon_H9 | zenon_intro zenon_H53 ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H55 | zenon_intro zenon_H54 ]. % 0.62/0.80 exact (zenon_H50 zenon_H55). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H57 | zenon_intro zenon_H56 ]. % 0.62/0.80 exact (zenon_H4f zenon_H57). % 0.62/0.80 exact (zenon_H4e zenon_H56). % 0.62/0.80 exact (zenon_H4b zenon_H4c). % 0.62/0.80 (* end of lemma zenon_L22_ *) % 0.62/0.80 assert (zenon_L23_ : (~(hskp24)) -> (hskp24) -> False). % 0.62/0.80 do 0 intro. intros zenon_H58 zenon_H59. % 0.62/0.80 exact (zenon_H58 zenon_H59). % 0.62/0.80 (* end of lemma zenon_L23_ *) % 0.62/0.80 assert (zenon_L24_ : ((hskp24)\/((hskp22)\/(hskp2))) -> (~(hskp24)) -> (~(hskp22)) -> (~(hskp2)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H5a zenon_H58 zenon_H5b zenon_H41. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H59 | zenon_intro zenon_H5c ]. % 0.62/0.80 exact (zenon_H58 zenon_H59). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H5d | zenon_intro zenon_H42 ]. % 0.62/0.80 exact (zenon_H5b zenon_H5d). % 0.62/0.80 exact (zenon_H41 zenon_H42). % 0.62/0.80 (* end of lemma zenon_L24_ *) % 0.62/0.80 assert (zenon_L25_ : (forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))) -> (ndr1_0) -> (forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41)))))) -> (c2_1 (a215)) -> (c3_1 (a215)) -> (c1_1 (a215)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H35 zenon_Ha zenon_H5e zenon_H5f zenon_H60 zenon_H61. % 0.62/0.80 generalize (zenon_H35 (a215)). zenon_intro zenon_H62. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_H62); [ zenon_intro zenon_H9 | zenon_intro zenon_H63 ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H65 | zenon_intro zenon_H64 ]. % 0.62/0.80 generalize (zenon_H5e (a215)). zenon_intro zenon_H66. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_H66); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H69 | zenon_intro zenon_H68 ]. % 0.62/0.80 exact (zenon_H65 zenon_H69). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H6b | zenon_intro zenon_H6a ]. % 0.62/0.80 exact (zenon_H6b zenon_H5f). % 0.62/0.80 exact (zenon_H6a zenon_H60). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H6c | zenon_intro zenon_H6a ]. % 0.62/0.80 exact (zenon_H6c zenon_H61). % 0.62/0.80 exact (zenon_H6a zenon_H60). % 0.62/0.80 (* end of lemma zenon_L25_ *) % 0.62/0.80 assert (zenon_L26_ : (~(hskp8)) -> (hskp8) -> False). % 0.62/0.80 do 0 intro. intros zenon_H6d zenon_H6e. % 0.62/0.80 exact (zenon_H6d zenon_H6e). % 0.62/0.80 (* end of lemma zenon_L26_ *) % 0.62/0.80 assert (zenon_L27_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp8)\/(hskp4))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((hskp1)\/(hskp2))) -> (~(hskp8)) -> (~(hskp4)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H6f zenon_H70 zenon_H41 zenon_H3f zenon_H44 zenon_H6d zenon_H33. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H5e | zenon_intro zenon_H73 ]. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H35 | zenon_intro zenon_H47 ]. % 0.62/0.80 apply (zenon_L25_); trivial. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H40 | zenon_intro zenon_H42 ]. % 0.62/0.80 exact (zenon_H3f zenon_H40). % 0.62/0.80 exact (zenon_H41 zenon_H42). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H6e | zenon_intro zenon_H34 ]. % 0.62/0.80 exact (zenon_H6d zenon_H6e). % 0.62/0.80 exact (zenon_H33 zenon_H34). % 0.62/0.80 (* end of lemma zenon_L27_ *) % 0.62/0.80 assert (zenon_L28_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp8)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> (~(hskp1)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((hskp1)\/(hskp2))) -> (~(hskp22)) -> (~(hskp2)) -> ((hskp24)\/((hskp22)\/(hskp2))) -> False). % 0.62/0.80 do 0 intro. intros zenon_H74 zenon_H70 zenon_H33 zenon_H6d zenon_H3f zenon_H44 zenon_H5b zenon_H41 zenon_H5a. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.80 apply (zenon_L24_); trivial. % 0.62/0.80 apply (zenon_L27_); trivial. % 0.62/0.80 (* end of lemma zenon_L28_ *) % 0.62/0.80 assert (zenon_L29_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a259))) -> (~(c2_1 (a259))) -> (c3_1 (a259)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H75 zenon_Ha zenon_H76 zenon_H77 zenon_H78. % 0.62/0.80 generalize (zenon_H75 (a259)). zenon_intro zenon_H79. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_H79); [ zenon_intro zenon_H9 | zenon_intro zenon_H7a ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7c | zenon_intro zenon_H7b ]. % 0.62/0.80 exact (zenon_H76 zenon_H7c). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7e | zenon_intro zenon_H7d ]. % 0.62/0.80 exact (zenon_H77 zenon_H7e). % 0.62/0.80 exact (zenon_H7d zenon_H78). % 0.62/0.80 (* end of lemma zenon_L29_ *) % 0.62/0.80 assert (zenon_L30_ : (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24)))))) -> (ndr1_0) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H7f zenon_Ha zenon_H80 zenon_H81 zenon_H82. % 0.62/0.80 generalize (zenon_H7f (a202)). zenon_intro zenon_H83. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_H83); [ zenon_intro zenon_H9 | zenon_intro zenon_H84 ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H86 | zenon_intro zenon_H85 ]. % 0.62/0.80 exact (zenon_H80 zenon_H86). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H88 | zenon_intro zenon_H87 ]. % 0.62/0.80 exact (zenon_H81 zenon_H88). % 0.62/0.80 exact (zenon_H87 zenon_H82). % 0.62/0.80 (* end of lemma zenon_L30_ *) % 0.62/0.80 assert (zenon_L31_ : (~(hskp10)) -> (hskp10) -> False). % 0.62/0.80 do 0 intro. intros zenon_H89 zenon_H8a. % 0.62/0.80 exact (zenon_H89 zenon_H8a). % 0.62/0.80 (* end of lemma zenon_L31_ *) % 0.62/0.80 assert (zenon_L32_ : ((ndr1_0)/\((c3_1 (a259))/\((~(c0_1 (a259)))/\(~(c2_1 (a259)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp10))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> (~(hskp10)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H8b zenon_H8c zenon_H82 zenon_H81 zenon_H80 zenon_H89. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8d. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H78. zenon_intro zenon_H8e. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H76. zenon_intro zenon_H77. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H75 | zenon_intro zenon_H8f ]. % 0.62/0.80 apply (zenon_L29_); trivial. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7f | zenon_intro zenon_H8a ]. % 0.62/0.80 apply (zenon_L30_); trivial. % 0.62/0.80 exact (zenon_H89 zenon_H8a). % 0.62/0.80 (* end of lemma zenon_L32_ *) % 0.62/0.80 assert (zenon_L33_ : ((~(hskp22))\/((ndr1_0)/\((c3_1 (a259))/\((~(c0_1 (a259)))/\(~(c2_1 (a259))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> ((hskp24)\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((hskp1)\/(hskp2))) -> (~(hskp1)) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp8)\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> False). % 0.62/0.80 do 0 intro. intros zenon_H90 zenon_H8c zenon_H89 zenon_H82 zenon_H81 zenon_H80 zenon_H5a zenon_H41 zenon_H44 zenon_H3f zenon_H6d zenon_H33 zenon_H70 zenon_H74. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H5b | zenon_intro zenon_H8b ]. % 0.62/0.80 apply (zenon_L28_); trivial. % 0.62/0.80 apply (zenon_L32_); trivial. % 0.62/0.80 (* end of lemma zenon_L33_ *) % 0.62/0.80 assert (zenon_L34_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c0_1 (a214))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H91 zenon_Ha zenon_Hc zenon_H92 zenon_Hd zenon_He. % 0.62/0.80 generalize (zenon_H91 (a214)). zenon_intro zenon_H93. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_H93); [ zenon_intro zenon_H9 | zenon_intro zenon_H94 ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H12 | zenon_intro zenon_H95 ]. % 0.62/0.80 exact (zenon_Hc zenon_H12). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H96 | zenon_intro zenon_H13 ]. % 0.62/0.80 generalize (zenon_H92 (a214)). zenon_intro zenon_H97. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_H97); [ zenon_intro zenon_H9 | zenon_intro zenon_H98 ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H12 | zenon_intro zenon_H99 ]. % 0.62/0.80 exact (zenon_Hc zenon_H12). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H99); [ zenon_intro zenon_H9a | zenon_intro zenon_H14 ]. % 0.62/0.80 exact (zenon_H96 zenon_H9a). % 0.62/0.80 exact (zenon_Hd zenon_H14). % 0.62/0.80 exact (zenon_H13 zenon_He). % 0.62/0.80 (* end of lemma zenon_L34_ *) % 0.62/0.80 assert (zenon_L35_ : (~(hskp0)) -> (hskp0) -> False). % 0.62/0.80 do 0 intro. intros zenon_H9b zenon_H9c. % 0.62/0.80 exact (zenon_H9b zenon_H9c). % 0.62/0.80 (* end of lemma zenon_L35_ *) % 0.62/0.80 assert (zenon_L36_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c2_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(hskp0))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (~(c0_1 (a214))) -> (c3_1 (a259)) -> (~(c0_1 (a259))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9)))))) -> (~(c2_1 (a259))) -> (ndr1_0) -> (~(hskp0)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H9d zenon_He zenon_Hd zenon_H92 zenon_Hc zenon_H78 zenon_H76 zenon_H1c zenon_H77 zenon_Ha zenon_H9b. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H91 | zenon_intro zenon_H9e ]. % 0.62/0.80 apply (zenon_L34_); trivial. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H9f | zenon_intro zenon_H9c ]. % 0.62/0.80 generalize (zenon_H9f (a259)). zenon_intro zenon_Ha0. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_Ha0); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha1 ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha2 ]. % 0.62/0.80 exact (zenon_H77 zenon_H7e). % 0.62/0.80 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H7d ]. % 0.62/0.80 generalize (zenon_H1c (a259)). zenon_intro zenon_Ha4. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_Ha4); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha5 ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H7c | zenon_intro zenon_Ha6 ]. % 0.62/0.80 exact (zenon_H76 zenon_H7c). % 0.62/0.80 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H7d ]. % 0.62/0.80 exact (zenon_Ha3 zenon_Ha7). % 0.62/0.80 exact (zenon_H7d zenon_H78). % 0.62/0.80 exact (zenon_H7d zenon_H78). % 0.62/0.80 exact (zenon_H9b zenon_H9c). % 0.62/0.80 (* end of lemma zenon_L36_ *) % 0.62/0.80 assert (zenon_L37_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp3)\/(hskp4))) -> (~(hskp0)) -> (ndr1_0) -> (~(c2_1 (a259))) -> (~(c0_1 (a259))) -> (c3_1 (a259)) -> (~(c0_1 (a214))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c2_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(hskp0))) -> (~(hskp3)) -> (~(hskp4)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H49 zenon_H9b zenon_Ha zenon_H77 zenon_H76 zenon_H78 zenon_Hc zenon_H92 zenon_Hd zenon_He zenon_H9d zenon_H31 zenon_H33. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1c | zenon_intro zenon_H4a ]. % 0.62/0.80 apply (zenon_L36_); trivial. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H32 | zenon_intro zenon_H34 ]. % 0.62/0.80 exact (zenon_H31 zenon_H32). % 0.62/0.80 exact (zenon_H33 zenon_H34). % 0.62/0.80 (* end of lemma zenon_L37_ *) % 0.62/0.80 assert (zenon_L38_ : ((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp3)\/(hskp4))) -> False). % 0.62/0.80 do 0 intro. intros zenon_Ha8 zenon_H48 zenon_H44 zenon_H41 zenon_H3f zenon_H2f zenon_H2d zenon_H31 zenon_H33 zenon_H49. % 0.62/0.80 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.62/0.80 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H1f. zenon_intro zenon_Haa. % 0.62/0.80 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.62/0.80 apply (zenon_L20_); trivial. % 0.62/0.80 (* end of lemma zenon_L38_ *) % 0.62/0.80 assert (zenon_L39_ : ((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> False). % 0.62/0.80 do 0 intro. intros zenon_Hab zenon_H4d zenon_H4b. % 0.62/0.80 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.62/0.80 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H50. zenon_intro zenon_Had. % 0.62/0.80 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.62/0.80 apply (zenon_L22_); trivial. % 0.62/0.80 (* end of lemma zenon_L39_ *) % 0.62/0.80 assert (zenon_L40_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a259))/\((~(c0_1 (a259)))/\(~(c2_1 (a259))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c2_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp3)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp3)\/(hskp4))) -> ((hskp24)\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((hskp1)\/(hskp2))) -> (~(hskp1)) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp8)\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((hskp14)\/((hskp15)\/(hskp12))) -> (~(hskp5)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210))))))) -> False). % 0.62/0.80 do 0 intro. intros zenon_Hae zenon_H4d zenon_H4b zenon_Haf zenon_H90 zenon_Hb0 zenon_H9d zenon_H9b zenon_H31 zenon_H49 zenon_H5a zenon_H41 zenon_H44 zenon_H3f zenon_H6d zenon_H33 zenon_H70 zenon_H74 zenon_H7 zenon_H2d zenon_H2f zenon_H48 zenon_Hb1. % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H1 | zenon_intro zenon_Ha8 ]. % 0.62/0.80 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.80 apply (zenon_L4_); trivial. % 0.62/0.80 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.80 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.80 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H5b | zenon_intro zenon_H8b ]. % 0.62/0.80 apply (zenon_L28_); trivial. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8d. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H78. zenon_intro zenon_H8e. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H76. zenon_intro zenon_H77. % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H92 | zenon_intro zenon_H40 ]. % 0.62/0.80 apply (zenon_L37_); trivial. % 0.62/0.80 exact (zenon_H3f zenon_H40). % 0.62/0.80 apply (zenon_L38_); trivial. % 0.62/0.80 apply (zenon_L39_); trivial. % 0.62/0.80 (* end of lemma zenon_L40_ *) % 0.62/0.80 assert (zenon_L41_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c2_1 X34)\/((~(c1_1 X34))\/(~(c3_1 X34))))))\/(hskp0))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (~(c0_1 (a214))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> (~(c2_1 (a198))) -> (ndr1_0) -> (~(hskp0)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H9d zenon_He zenon_Hd zenon_H92 zenon_Hc zenon_Hb5 zenon_Hb6 zenon_Hb7 zenon_Ha zenon_H9b. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H91 | zenon_intro zenon_H9e ]. % 0.62/0.80 apply (zenon_L34_); trivial. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H9f | zenon_intro zenon_H9c ]. % 0.62/0.80 generalize (zenon_H9f (a198)). zenon_intro zenon_Hb8. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_Hb8); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb9 ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ]. % 0.62/0.80 exact (zenon_Hb7 zenon_Hbb). % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbc ]. % 0.62/0.80 exact (zenon_Hbd zenon_Hb6). % 0.62/0.80 exact (zenon_Hbc zenon_Hb5). % 0.62/0.80 exact (zenon_H9b zenon_H9c). % 0.62/0.80 (* end of lemma zenon_L41_ *) % 0.62/0.80 assert (zenon_L42_ : ((hskp23)\/((hskp9)\/(hskp2))) -> (~(hskp23)) -> (~(hskp9)) -> (~(hskp2)) -> False). % 0.62/0.80 do 0 intro. intros zenon_Hbe zenon_H2b zenon_H17 zenon_H41. % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H2c | zenon_intro zenon_Hbf ]. % 0.62/0.80 exact (zenon_H2b zenon_H2c). % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H18 | zenon_intro zenon_H42 ]. % 0.62/0.80 exact (zenon_H17 zenon_H18). % 0.62/0.80 exact (zenon_H41 zenon_H42). % 0.62/0.80 (* end of lemma zenon_L42_ *) % 0.62/0.80 assert (zenon_L43_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((hskp1)\/(hskp2))) -> (~(hskp1)) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp23)\/((hskp9)\/(hskp2))) -> False). % 0.62/0.80 do 0 intro. intros zenon_H48 zenon_H44 zenon_H3f zenon_H17 zenon_H41 zenon_Hbe. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.80 apply (zenon_L42_); trivial. % 0.62/0.80 apply (zenon_L19_); trivial. % 0.62/0.80 (* end of lemma zenon_L43_ *) % 0.62/0.80 assert (zenon_L44_ : (forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63)))))) -> (ndr1_0) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> False). % 0.62/0.80 do 0 intro. intros zenon_Hc0 zenon_Ha zenon_Hc1 zenon_Hc2 zenon_Hc3. % 0.62/0.80 generalize (zenon_Hc0 (a195)). zenon_intro zenon_Hc4. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_Hc4); [ zenon_intro zenon_H9 | zenon_intro zenon_Hc5 ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc6 ]. % 0.62/0.80 exact (zenon_Hc1 zenon_Hc7). % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hc8 ]. % 0.62/0.80 exact (zenon_Hc2 zenon_Hc9). % 0.62/0.80 exact (zenon_Hc8 zenon_Hc3). % 0.62/0.80 (* end of lemma zenon_L44_ *) % 0.62/0.80 assert (zenon_L45_ : (~(hskp16)) -> (hskp16) -> False). % 0.62/0.80 do 0 intro. intros zenon_Hca zenon_Hcb. % 0.62/0.80 exact (zenon_Hca zenon_Hcb). % 0.62/0.80 (* end of lemma zenon_L45_ *) % 0.62/0.80 assert (zenon_L46_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp16)) -> False). % 0.62/0.80 do 0 intro. intros zenon_Hcc zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_Ha zenon_H2b zenon_Hca. % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hcd ]. % 0.62/0.80 apply (zenon_L44_); trivial. % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H2c | zenon_intro zenon_Hcb ]. % 0.62/0.80 exact (zenon_H2b zenon_H2c). % 0.62/0.80 exact (zenon_Hca zenon_Hcb). % 0.62/0.80 (* end of lemma zenon_L46_ *) % 0.62/0.80 assert (zenon_L47_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp16)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> False). % 0.62/0.80 do 0 intro. intros zenon_H48 zenon_H44 zenon_H41 zenon_H3f zenon_Ha zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hca zenon_Hcc. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.80 apply (zenon_L46_); trivial. % 0.62/0.80 apply (zenon_L19_); trivial. % 0.62/0.80 (* end of lemma zenon_L47_ *) % 0.62/0.80 assert (zenon_L48_ : ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp5)) -> (~(hskp15)) -> (~(hskp21)) -> False). % 0.62/0.80 do 0 intro. intros zenon_Hce zenon_H2d zenon_H3 zenon_Hcf. % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_H2e | zenon_intro zenon_Hd0 ]. % 0.62/0.80 exact (zenon_H2d zenon_H2e). % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_H4 | zenon_intro zenon_Hd1 ]. % 0.62/0.80 exact (zenon_H3 zenon_H4). % 0.62/0.80 exact (zenon_Hcf zenon_Hd1). % 0.62/0.80 (* end of lemma zenon_L48_ *) % 0.62/0.80 assert (zenon_L49_ : (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (ndr1_0) -> (~(c0_1 (a221))) -> (~(c1_1 (a221))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c2_1 (a221))) -> False). % 0.62/0.80 do 0 intro. intros zenon_H92 zenon_Ha zenon_Hd2 zenon_Hd3 zenon_H75 zenon_Hd4. % 0.62/0.80 generalize (zenon_H92 (a221)). zenon_intro zenon_Hd5. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_Hd5); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd6 ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hd7 ]. % 0.62/0.80 exact (zenon_Hd2 zenon_Hd8). % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hda | zenon_intro zenon_Hd9 ]. % 0.62/0.80 exact (zenon_Hd3 zenon_Hda). % 0.62/0.80 generalize (zenon_H75 (a221)). zenon_intro zenon_Hdb. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_Hdb); [ zenon_intro zenon_H9 | zenon_intro zenon_Hdc ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hd8 | zenon_intro zenon_Hdd ]. % 0.62/0.80 exact (zenon_Hd2 zenon_Hd8). % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hde ]. % 0.62/0.80 exact (zenon_Hd4 zenon_Hdf). % 0.62/0.80 exact (zenon_Hde zenon_Hd9). % 0.62/0.80 (* end of lemma zenon_L49_ *) % 0.62/0.80 assert (zenon_L50_ : (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21)))))) -> (ndr1_0) -> (~(c1_1 (a257))) -> (~(c3_1 (a257))) -> (c2_1 (a257)) -> False). % 0.62/0.80 do 0 intro. intros zenon_He0 zenon_Ha zenon_He1 zenon_He2 zenon_He3. % 0.62/0.80 generalize (zenon_He0 (a257)). zenon_intro zenon_He4. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_He4); [ zenon_intro zenon_H9 | zenon_intro zenon_He5 ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ]. % 0.62/0.80 exact (zenon_He1 zenon_He7). % 0.62/0.80 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_He9 | zenon_intro zenon_He8 ]. % 0.62/0.80 exact (zenon_He2 zenon_He9). % 0.62/0.80 exact (zenon_He8 zenon_He3). % 0.62/0.80 (* end of lemma zenon_L50_ *) % 0.62/0.80 assert (zenon_L51_ : (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (~(c3_1 (a257))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (~(c1_1 (a257))) -> (c2_1 (a257)) -> False). % 0.62/0.80 do 0 intro. intros zenon_Hea zenon_Ha zenon_He2 zenon_H92 zenon_He1 zenon_He3. % 0.62/0.80 generalize (zenon_Hea (a257)). zenon_intro zenon_Heb. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_Heb); [ zenon_intro zenon_H9 | zenon_intro zenon_Hec ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_He9 | zenon_intro zenon_Hed ]. % 0.62/0.80 exact (zenon_He2 zenon_He9). % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hee | zenon_intro zenon_He8 ]. % 0.62/0.80 generalize (zenon_H92 (a257)). zenon_intro zenon_Hef. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_Hef); [ zenon_intro zenon_H9 | zenon_intro zenon_Hf0 ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hf1 ]. % 0.62/0.80 exact (zenon_Hee zenon_Hf2). % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_He7 | zenon_intro zenon_He9 ]. % 0.62/0.80 exact (zenon_He1 zenon_He7). % 0.62/0.80 exact (zenon_He2 zenon_He9). % 0.62/0.80 exact (zenon_He8 zenon_He3). % 0.62/0.80 (* end of lemma zenon_L51_ *) % 0.62/0.80 assert (zenon_L52_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c2_1 (a221))) -> (~(c1_1 (a221))) -> (~(c0_1 (a221))) -> (ndr1_0) -> (~(c3_1 (a257))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (~(c1_1 (a257))) -> (c2_1 (a257)) -> False). % 0.62/0.80 do 0 intro. intros zenon_Hf3 zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_Ha zenon_He2 zenon_H92 zenon_He1 zenon_He3. % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.80 apply (zenon_L49_); trivial. % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.80 apply (zenon_L50_); trivial. % 0.62/0.80 apply (zenon_L51_); trivial. % 0.62/0.80 (* end of lemma zenon_L52_ *) % 0.62/0.80 assert (zenon_L53_ : ((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> (~(c0_1 (a221))) -> (~(c1_1 (a221))) -> (~(c2_1 (a221))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> False). % 0.62/0.80 do 0 intro. intros zenon_Hf5 zenon_Hb0 zenon_H3f zenon_Hd2 zenon_Hd3 zenon_Hd4 zenon_Hf3. % 0.62/0.80 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.80 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.80 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H92 | zenon_intro zenon_H40 ]. % 0.62/0.80 apply (zenon_L52_); trivial. % 0.62/0.80 exact (zenon_H3f zenon_H40). % 0.62/0.80 (* end of lemma zenon_L53_ *) % 0.62/0.80 assert (zenon_L54_ : ((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp5)) -> (~(hskp15)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> False). % 0.62/0.80 do 0 intro. intros zenon_Hf8 zenon_Hf9 zenon_Hb0 zenon_H3f zenon_Hf3 zenon_H2d zenon_H3 zenon_Hce. % 0.62/0.80 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Ha. zenon_intro zenon_Hfa. % 0.62/0.80 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hd2. zenon_intro zenon_Hfb. % 0.62/0.80 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.80 apply (zenon_L48_); trivial. % 0.62/0.80 apply (zenon_L53_); trivial. % 0.62/0.80 (* end of lemma zenon_L54_ *) % 0.62/0.80 assert (zenon_L55_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp5)) -> (~(hskp15)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((hskp1)\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> False). % 0.62/0.80 do 0 intro. intros zenon_Hfc zenon_Hf9 zenon_Hb0 zenon_Hf3 zenon_H2d zenon_H3 zenon_Hce zenon_Hcc zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_Ha zenon_H3f zenon_H41 zenon_H44 zenon_H48. % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.80 apply (zenon_L47_); trivial. % 0.62/0.80 apply (zenon_L54_); trivial. % 0.62/0.80 (* end of lemma zenon_L55_ *) % 0.62/0.80 assert (zenon_L56_ : (~(hskp17)) -> (hskp17) -> False). % 0.62/0.80 do 0 intro. intros zenon_Hfd zenon_Hfe. % 0.62/0.80 exact (zenon_Hfd zenon_Hfe). % 0.62/0.80 (* end of lemma zenon_L56_ *) % 0.62/0.80 assert (zenon_L57_ : (~(hskp18)) -> (hskp18) -> False). % 0.62/0.80 do 0 intro. intros zenon_Hff zenon_H100. % 0.62/0.80 exact (zenon_Hff zenon_H100). % 0.62/0.80 (* end of lemma zenon_L57_ *) % 0.62/0.80 assert (zenon_L58_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp18)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H101 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_Ha zenon_Hfd zenon_Hff. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H102 ]. % 0.62/0.80 apply (zenon_L44_); trivial. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfe | zenon_intro zenon_H100 ]. % 0.62/0.80 exact (zenon_Hfd zenon_Hfe). % 0.62/0.80 exact (zenon_Hff zenon_H100). % 0.62/0.80 (* end of lemma zenon_L58_ *) % 0.62/0.80 assert (zenon_L59_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (c2_1 (a199)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H103 zenon_Ha zenon_H104 zenon_H105 zenon_H106. % 0.62/0.80 generalize (zenon_H103 (a199)). zenon_intro zenon_H107. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_H107); [ zenon_intro zenon_H9 | zenon_intro zenon_H108 ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H10a | zenon_intro zenon_H109 ]. % 0.62/0.80 exact (zenon_H104 zenon_H10a). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H10c | zenon_intro zenon_H10b ]. % 0.62/0.80 exact (zenon_H105 zenon_H10c). % 0.62/0.80 exact (zenon_H10b zenon_H106). % 0.62/0.80 (* end of lemma zenon_L59_ *) % 0.62/0.80 assert (zenon_L60_ : (forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(c1_1 (a223))) -> (~(c2_1 (a223))) -> (c3_1 (a223)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H10d zenon_Ha zenon_H10e zenon_H10f zenon_H110. % 0.62/0.80 generalize (zenon_H10d (a223)). zenon_intro zenon_H111. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_H111); [ zenon_intro zenon_H9 | zenon_intro zenon_H112 ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H114 | zenon_intro zenon_H113 ]. % 0.62/0.80 exact (zenon_H10e zenon_H114). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H116 | zenon_intro zenon_H115 ]. % 0.62/0.80 exact (zenon_H10f zenon_H116). % 0.62/0.80 exact (zenon_H115 zenon_H110). % 0.62/0.80 (* end of lemma zenon_L60_ *) % 0.62/0.80 assert (zenon_L61_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (~(c0_1 (a214))) -> (ndr1_0) -> (~(c1_1 (a223))) -> (~(c2_1 (a223))) -> (c3_1 (a223)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H117 zenon_H106 zenon_H105 zenon_H104 zenon_He zenon_Hd zenon_H92 zenon_Hc zenon_Ha zenon_H10e zenon_H10f zenon_H110. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H103 | zenon_intro zenon_H118 ]. % 0.62/0.80 apply (zenon_L59_); trivial. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H91 | zenon_intro zenon_H10d ]. % 0.62/0.80 apply (zenon_L34_); trivial. % 0.62/0.80 apply (zenon_L60_); trivial. % 0.62/0.80 (* end of lemma zenon_L61_ *) % 0.62/0.80 assert (zenon_L62_ : ((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (c2_1 (a199)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> False). % 0.62/0.80 do 0 intro. intros zenon_H119 zenon_Hb0 zenon_H3f zenon_H104 zenon_H105 zenon_H106 zenon_Hc zenon_Hd zenon_He zenon_H117. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11a. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H110. zenon_intro zenon_H11b. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.62/0.80 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H92 | zenon_intro zenon_H40 ]. % 0.62/0.80 apply (zenon_L61_); trivial. % 0.62/0.80 exact (zenon_H3f zenon_H40). % 0.62/0.80 (* end of lemma zenon_L62_ *) % 0.62/0.80 assert (zenon_L63_ : (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21)))))) -> (ndr1_0) -> (~(c1_1 (a199))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9)))))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> False). % 0.62/0.80 do 0 intro. intros zenon_He0 zenon_Ha zenon_H105 zenon_H1c zenon_H104 zenon_H106. % 0.62/0.80 generalize (zenon_He0 (a199)). zenon_intro zenon_H11c. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_H11c); [ zenon_intro zenon_H9 | zenon_intro zenon_H11d ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ]. % 0.62/0.80 exact (zenon_H105 zenon_H10c). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H10b ]. % 0.62/0.80 generalize (zenon_H1c (a199)). zenon_intro zenon_H120. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_H120); [ zenon_intro zenon_H9 | zenon_intro zenon_H121 ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H10a | zenon_intro zenon_H122 ]. % 0.62/0.80 exact (zenon_H104 zenon_H10a). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H10c | zenon_intro zenon_H123 ]. % 0.62/0.80 exact (zenon_H105 zenon_H10c). % 0.62/0.80 exact (zenon_H123 zenon_H11f). % 0.62/0.80 exact (zenon_H10b zenon_H106). % 0.62/0.80 (* end of lemma zenon_L63_ *) % 0.62/0.80 assert (zenon_L64_ : (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (~(c3_1 (a222))) -> (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25)))))) -> (c1_1 (a222)) -> (c2_1 (a222)) -> False). % 0.62/0.80 do 0 intro. intros zenon_Hea zenon_Ha zenon_H124 zenon_H125 zenon_H126 zenon_H127. % 0.62/0.80 generalize (zenon_Hea (a222)). zenon_intro zenon_H128. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_H128); [ zenon_intro zenon_H9 | zenon_intro zenon_H129 ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H12b | zenon_intro zenon_H12a ]. % 0.62/0.80 exact (zenon_H124 zenon_H12b). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H12d | zenon_intro zenon_H12c ]. % 0.62/0.80 generalize (zenon_H125 (a222)). zenon_intro zenon_H12e. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_H12e); [ zenon_intro zenon_H9 | zenon_intro zenon_H12f ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H131 | zenon_intro zenon_H130 ]. % 0.62/0.80 exact (zenon_H12d zenon_H131). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12b | zenon_intro zenon_H132 ]. % 0.62/0.80 exact (zenon_H124 zenon_H12b). % 0.62/0.80 exact (zenon_H132 zenon_H126). % 0.62/0.80 exact (zenon_H12c zenon_H127). % 0.62/0.80 (* end of lemma zenon_L64_ *) % 0.62/0.80 assert (zenon_L65_ : (~(hskp19)) -> (hskp19) -> False). % 0.62/0.80 do 0 intro. intros zenon_H133 zenon_H134. % 0.62/0.80 exact (zenon_H133 zenon_H134). % 0.62/0.80 (* end of lemma zenon_L65_ *) % 0.62/0.80 assert (zenon_L66_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> (~(hskp19)) -> (~(c3_1 (a222))) -> (c1_1 (a222)) -> (c2_1 (a222)) -> (~(c1_1 (a199))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9)))))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H135 zenon_H133 zenon_H124 zenon_H126 zenon_H127 zenon_H105 zenon_H1c zenon_H104 zenon_H106 zenon_H136 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H2d. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H125 | zenon_intro zenon_H137 ]. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He0 | zenon_intro zenon_H138 ]. % 0.62/0.80 apply (zenon_L63_); trivial. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hea | zenon_intro zenon_H134 ]. % 0.62/0.80 apply (zenon_L64_); trivial. % 0.62/0.80 exact (zenon_H133 zenon_H134). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb | zenon_intro zenon_H2e ]. % 0.62/0.80 apply (zenon_L6_); trivial. % 0.62/0.80 exact (zenon_H2d zenon_H2e). % 0.62/0.80 (* end of lemma zenon_L66_ *) % 0.62/0.80 assert (zenon_L67_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a225))) -> (~(c1_1 (a225))) -> (c3_1 (a225)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H1c zenon_Ha zenon_H139 zenon_H13a zenon_H13b. % 0.62/0.80 generalize (zenon_H1c (a225)). zenon_intro zenon_H13c. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_H13c); [ zenon_intro zenon_H9 | zenon_intro zenon_H13d ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H13f | zenon_intro zenon_H13e ]. % 0.62/0.80 exact (zenon_H139 zenon_H13f). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H141 | zenon_intro zenon_H140 ]. % 0.62/0.80 exact (zenon_H13a zenon_H141). % 0.62/0.80 exact (zenon_H140 zenon_H13b). % 0.62/0.80 (* end of lemma zenon_L67_ *) % 0.62/0.80 assert (zenon_L68_ : ((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> (~(hskp4)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H142 zenon_H49 zenon_H31 zenon_H33. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1c | zenon_intro zenon_H4a ]. % 0.62/0.80 apply (zenon_L67_); trivial. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H32 | zenon_intro zenon_H34 ]. % 0.62/0.80 exact (zenon_H31 zenon_H32). % 0.62/0.80 exact (zenon_H33 zenon_H34). % 0.62/0.80 (* end of lemma zenon_L68_ *) % 0.62/0.80 assert (zenon_L69_ : ((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp3)\/(hskp4))) -> False). % 0.62/0.80 do 0 intro. intros zenon_H145 zenon_H146 zenon_H135 zenon_H2d zenon_He zenon_Hd zenon_Hc zenon_H105 zenon_H104 zenon_H106 zenon_H136 zenon_H31 zenon_H33 zenon_H49. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_Ha. zenon_intro zenon_H147. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H126. zenon_intro zenon_H148. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H127. zenon_intro zenon_H124. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1c | zenon_intro zenon_H4a ]. % 0.62/0.80 apply (zenon_L66_); trivial. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H32 | zenon_intro zenon_H34 ]. % 0.62/0.80 exact (zenon_H31 zenon_H32). % 0.62/0.80 exact (zenon_H33 zenon_H34). % 0.62/0.80 apply (zenon_L68_); trivial. % 0.62/0.80 (* end of lemma zenon_L69_ *) % 0.62/0.80 assert (zenon_L70_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a215))) -> (c1_1 (a215)) -> (c3_1 (a215)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H149 zenon_Ha zenon_H65 zenon_H61 zenon_H60. % 0.62/0.80 generalize (zenon_H149 (a215)). zenon_intro zenon_H14a. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_H14a); [ zenon_intro zenon_H9 | zenon_intro zenon_H14b ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H69 | zenon_intro zenon_H64 ]. % 0.62/0.80 exact (zenon_H65 zenon_H69). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H6c | zenon_intro zenon_H6a ]. % 0.62/0.80 exact (zenon_H6c zenon_H61). % 0.62/0.80 exact (zenon_H6a zenon_H60). % 0.62/0.80 (* end of lemma zenon_L70_ *) % 0.62/0.80 assert (zenon_L71_ : (forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c1_1 (a215)) -> (c3_1 (a215)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H35 zenon_Ha zenon_H149 zenon_H61 zenon_H60. % 0.62/0.80 generalize (zenon_H35 (a215)). zenon_intro zenon_H62. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_H62); [ zenon_intro zenon_H9 | zenon_intro zenon_H63 ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H65 | zenon_intro zenon_H64 ]. % 0.62/0.80 apply (zenon_L70_); trivial. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H6c | zenon_intro zenon_H6a ]. % 0.62/0.80 exact (zenon_H6c zenon_H61). % 0.62/0.80 exact (zenon_H6a zenon_H60). % 0.62/0.80 (* end of lemma zenon_L71_ *) % 0.62/0.80 assert (zenon_L72_ : ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((hskp1)\/(hskp2))) -> (c3_1 (a215)) -> (c1_1 (a215)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp2)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H44 zenon_H60 zenon_H61 zenon_H149 zenon_Ha zenon_H3f zenon_H41. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H35 | zenon_intro zenon_H47 ]. % 0.62/0.80 apply (zenon_L71_); trivial. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H40 | zenon_intro zenon_H42 ]. % 0.62/0.80 exact (zenon_H3f zenon_H40). % 0.62/0.80 exact (zenon_H41 zenon_H42). % 0.62/0.80 (* end of lemma zenon_L72_ *) % 0.62/0.80 assert (zenon_L73_ : (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (ndr1_0) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H14c zenon_Ha zenon_H14d zenon_H14e zenon_H14f. % 0.62/0.80 generalize (zenon_H14c (a194)). zenon_intro zenon_H150. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_H150); [ zenon_intro zenon_H9 | zenon_intro zenon_H151 ]. % 0.62/0.80 exact (zenon_H9 zenon_Ha). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H153 | zenon_intro zenon_H152 ]. % 0.62/0.80 exact (zenon_H14d zenon_H153). % 0.62/0.80 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H155 | zenon_intro zenon_H154 ]. % 0.62/0.80 exact (zenon_H14e zenon_H155). % 0.62/0.80 exact (zenon_H154 zenon_H14f). % 0.62/0.80 (* end of lemma zenon_L73_ *) % 0.62/0.80 assert (zenon_L74_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((hskp1)\/(hskp2))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H6f zenon_H156 zenon_H106 zenon_H105 zenon_H104 zenon_H41 zenon_H3f zenon_H44 zenon_H14d zenon_H14e zenon_H14f. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.80 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.80 apply (zenon_L59_); trivial. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.80 apply (zenon_L72_); trivial. % 0.62/0.80 apply (zenon_L73_); trivial. % 0.62/0.80 (* end of lemma zenon_L74_ *) % 0.62/0.80 assert (zenon_L75_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (~(hskp1)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((hskp1)\/(hskp2))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (~(hskp22)) -> (~(hskp2)) -> ((hskp24)\/((hskp22)\/(hskp2))) -> False). % 0.62/0.80 do 0 intro. intros zenon_H74 zenon_H156 zenon_H14f zenon_H14e zenon_H14d zenon_H3f zenon_H44 zenon_H106 zenon_H105 zenon_H104 zenon_H5b zenon_H41 zenon_H5a. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.80 apply (zenon_L24_); trivial. % 0.62/0.80 apply (zenon_L74_); trivial. % 0.62/0.80 (* end of lemma zenon_L75_ *) % 0.62/0.80 assert (zenon_L76_ : ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (c0_1 (a194)) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24)))))) -> (~(hskp24)) -> False). % 0.62/0.80 do 0 intro. intros zenon_H158 zenon_H14f zenon_H14d zenon_H14e zenon_Ha zenon_H7f zenon_H58. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14c | zenon_intro zenon_H159 ]. % 0.62/0.80 apply (zenon_L73_); trivial. % 0.62/0.80 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H15a | zenon_intro zenon_H59 ]. % 0.62/0.80 generalize (zenon_H7f (a194)). zenon_intro zenon_H15b. % 0.62/0.80 apply (zenon_imply_s _ _ zenon_H15b); [ zenon_intro zenon_H9 | zenon_intro zenon_H15c ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H155 | zenon_intro zenon_H15d ]. % 0.62/0.81 exact (zenon_H14e zenon_H155). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H15e | zenon_intro zenon_H154 ]. % 0.62/0.81 generalize (zenon_H15a (a194)). zenon_intro zenon_H15f. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H15f); [ zenon_intro zenon_H9 | zenon_intro zenon_H160 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H153 | zenon_intro zenon_H161 ]. % 0.62/0.81 exact (zenon_H14d zenon_H153). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H154 | zenon_intro zenon_H162 ]. % 0.62/0.81 exact (zenon_H154 zenon_H14f). % 0.62/0.81 exact (zenon_H162 zenon_H15e). % 0.62/0.81 exact (zenon_H154 zenon_H14f). % 0.62/0.81 exact (zenon_H58 zenon_H59). % 0.62/0.81 (* end of lemma zenon_L76_ *) % 0.62/0.81 assert (zenon_L77_ : (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))) -> (ndr1_0) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (c3_1 (a200)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H15a zenon_Ha zenon_H163 zenon_H164 zenon_H165. % 0.62/0.81 generalize (zenon_H15a (a200)). zenon_intro zenon_H166. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H166); [ zenon_intro zenon_H9 | zenon_intro zenon_H167 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H169 | zenon_intro zenon_H168 ]. % 0.62/0.81 exact (zenon_H163 zenon_H169). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H16b | zenon_intro zenon_H16a ]. % 0.62/0.81 exact (zenon_H16b zenon_H164). % 0.62/0.81 exact (zenon_H16a zenon_H165). % 0.62/0.81 (* end of lemma zenon_L77_ *) % 0.62/0.81 assert (zenon_L78_ : ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (c3_1 (a200)) -> (c0_1 (a200)) -> (~(c1_1 (a200))) -> (ndr1_0) -> (~(hskp24)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H158 zenon_H14f zenon_H14e zenon_H14d zenon_H165 zenon_H164 zenon_H163 zenon_Ha zenon_H58. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14c | zenon_intro zenon_H159 ]. % 0.62/0.81 apply (zenon_L73_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H15a | zenon_intro zenon_H59 ]. % 0.62/0.81 apply (zenon_L77_); trivial. % 0.62/0.81 exact (zenon_H58 zenon_H59). % 0.62/0.81 (* end of lemma zenon_L78_ *) % 0.62/0.81 assert (zenon_L79_ : ((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((hskp1)\/(hskp2))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H16c zenon_H74 zenon_H156 zenon_H3f zenon_H41 zenon_H44 zenon_H106 zenon_H105 zenon_H104 zenon_H14d zenon_H14e zenon_H14f zenon_H158. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.81 apply (zenon_L78_); trivial. % 0.62/0.81 apply (zenon_L74_); trivial. % 0.62/0.81 (* end of lemma zenon_L79_ *) % 0.62/0.81 assert (zenon_L80_ : (~(hskp25)) -> (hskp25) -> False). % 0.62/0.81 do 0 intro. intros zenon_H16f zenon_H170. % 0.62/0.81 exact (zenon_H16f zenon_H170). % 0.62/0.81 (* end of lemma zenon_L80_ *) % 0.62/0.81 assert (zenon_L81_ : ((hskp25)\/((hskp15)\/(hskp2))) -> (~(hskp25)) -> (~(hskp15)) -> (~(hskp2)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H171 zenon_H16f zenon_H3 zenon_H41. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H170 | zenon_intro zenon_H172 ]. % 0.62/0.81 exact (zenon_H16f zenon_H170). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H4 | zenon_intro zenon_H42 ]. % 0.62/0.81 exact (zenon_H3 zenon_H4). % 0.62/0.81 exact (zenon_H41 zenon_H42). % 0.62/0.81 (* end of lemma zenon_L81_ *) % 0.62/0.81 assert (zenon_L82_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9)))))) -> (~(c1_1 (a199))) -> (c2_1 (a257)) -> (~(c1_1 (a257))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (~(c3_1 (a257))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H136 zenon_H106 zenon_H104 zenon_H1c zenon_H105 zenon_He3 zenon_He1 zenon_H92 zenon_He2 zenon_Ha zenon_H133. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He0 | zenon_intro zenon_H138 ]. % 0.62/0.81 apply (zenon_L63_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hea | zenon_intro zenon_H134 ]. % 0.62/0.81 apply (zenon_L51_); trivial. % 0.62/0.81 exact (zenon_H133 zenon_H134). % 0.62/0.81 (* end of lemma zenon_L82_ *) % 0.62/0.81 assert (zenon_L83_ : (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (~(c0_1 (a193))) -> (c1_1 (a193)) -> (~(c3_1 (a193))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H173 zenon_Ha zenon_H91 zenon_H174 zenon_H175 zenon_H176. % 0.62/0.81 generalize (zenon_H173 (a193)). zenon_intro zenon_H177. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H177); [ zenon_intro zenon_H9 | zenon_intro zenon_H178 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H17a | zenon_intro zenon_H179 ]. % 0.62/0.81 generalize (zenon_H91 (a193)). zenon_intro zenon_H17b. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H17b); [ zenon_intro zenon_H9 | zenon_intro zenon_H17c ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H17e | zenon_intro zenon_H17d ]. % 0.62/0.81 exact (zenon_H174 zenon_H17e). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H180 | zenon_intro zenon_H17f ]. % 0.62/0.81 exact (zenon_H180 zenon_H175). % 0.62/0.81 exact (zenon_H17f zenon_H17a). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H181 | zenon_intro zenon_H180 ]. % 0.62/0.81 exact (zenon_H176 zenon_H181). % 0.62/0.81 exact (zenon_H180 zenon_H175). % 0.62/0.81 (* end of lemma zenon_L83_ *) % 0.62/0.81 assert (zenon_L84_ : ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp3)\/(hskp12))) -> (~(c3_1 (a193))) -> (c1_1 (a193)) -> (~(c0_1 (a193))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp12)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H182 zenon_H176 zenon_H175 zenon_H174 zenon_H91 zenon_Ha zenon_H31 zenon_H5. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H173 | zenon_intro zenon_H183 ]. % 0.62/0.81 apply (zenon_L83_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H32 | zenon_intro zenon_H6 ]. % 0.62/0.81 exact (zenon_H31 zenon_H32). % 0.62/0.81 exact (zenon_H5 zenon_H6). % 0.62/0.81 (* end of lemma zenon_L84_ *) % 0.62/0.81 assert (zenon_L85_ : (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))) -> (ndr1_0) -> (c0_1 (a230)) -> (c2_1 (a230)) -> (c3_1 (a230)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1b zenon_Ha zenon_H184 zenon_H185 zenon_H186. % 0.62/0.81 generalize (zenon_H1b (a230)). zenon_intro zenon_H187. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H187); [ zenon_intro zenon_H9 | zenon_intro zenon_H188 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H18a | zenon_intro zenon_H189 ]. % 0.62/0.81 exact (zenon_H18a zenon_H184). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H18c | zenon_intro zenon_H18b ]. % 0.62/0.81 exact (zenon_H18c zenon_H185). % 0.62/0.81 exact (zenon_H18b zenon_H186). % 0.62/0.81 (* end of lemma zenon_L85_ *) % 0.62/0.81 assert (zenon_L86_ : (forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))) -> (c0_1 (a230)) -> (c2_1 (a230)) -> (c1_1 (a230)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H18d zenon_Ha zenon_H1b zenon_H184 zenon_H185 zenon_H18e. % 0.62/0.81 generalize (zenon_H18d (a230)). zenon_intro zenon_H18f. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H18f); [ zenon_intro zenon_H9 | zenon_intro zenon_H190 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H186 | zenon_intro zenon_H191 ]. % 0.62/0.81 apply (zenon_L85_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H18a | zenon_intro zenon_H192 ]. % 0.62/0.81 exact (zenon_H18a zenon_H184). % 0.62/0.81 exact (zenon_H192 zenon_H18e). % 0.62/0.81 (* end of lemma zenon_L86_ *) % 0.62/0.81 assert (zenon_L87_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> (~(hskp12)) -> (~(hskp3)) -> (~(c0_1 (a193))) -> (c1_1 (a193)) -> (~(c3_1 (a193))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp3)\/(hskp12))) -> (c1_1 (a230)) -> (c2_1 (a230)) -> (c0_1 (a230)) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))) -> (~(hskp6)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H193 zenon_H5 zenon_H31 zenon_H174 zenon_H175 zenon_H176 zenon_H182 zenon_H18e zenon_H185 zenon_H184 zenon_Ha zenon_H18d zenon_H4b. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H91 | zenon_intro zenon_H194 ]. % 0.62/0.81 apply (zenon_L84_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H1b | zenon_intro zenon_H4c ]. % 0.62/0.81 apply (zenon_L86_); trivial. % 0.62/0.81 exact (zenon_H4b zenon_H4c). % 0.62/0.81 (* end of lemma zenon_L87_ *) % 0.62/0.81 assert (zenon_L88_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> (~(hskp19)) -> (~(c3_1 (a257))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (~(c1_1 (a257))) -> (c2_1 (a257)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(hskp6)) -> (ndr1_0) -> (c0_1 (a230)) -> (c2_1 (a230)) -> (c1_1 (a230)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp3)\/(hskp12))) -> (~(c3_1 (a193))) -> (c1_1 (a193)) -> (~(c0_1 (a193))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> (~(hskp2)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H195 zenon_H133 zenon_He2 zenon_H92 zenon_He1 zenon_He3 zenon_H105 zenon_H104 zenon_H106 zenon_H136 zenon_H4b zenon_Ha zenon_H184 zenon_H185 zenon_H18e zenon_H182 zenon_H176 zenon_H175 zenon_H174 zenon_H31 zenon_H5 zenon_H193 zenon_H41. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H1c | zenon_intro zenon_H196 ]. % 0.62/0.81 apply (zenon_L82_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18d | zenon_intro zenon_H42 ]. % 0.62/0.81 apply (zenon_L87_); trivial. % 0.62/0.81 exact (zenon_H41 zenon_H42). % 0.62/0.81 (* end of lemma zenon_L88_ *) % 0.62/0.81 assert (zenon_L89_ : ((ndr1_0)/\((c0_1 (a230))/\((c1_1 (a230))/\(c2_1 (a230))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> (c3_1 (a225)) -> (~(c1_1 (a225))) -> (~(c0_1 (a225))) -> (~(hskp6)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp3)\/(hskp12))) -> (~(c3_1 (a193))) -> (c1_1 (a193)) -> (~(c0_1 (a193))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> (~(hskp2)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H197 zenon_H195 zenon_H13b zenon_H13a zenon_H139 zenon_H4b zenon_H182 zenon_H176 zenon_H175 zenon_H174 zenon_H31 zenon_H5 zenon_H193 zenon_H41. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Ha. zenon_intro zenon_H198. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H184. zenon_intro zenon_H199. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_H18e. zenon_intro zenon_H185. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H1c | zenon_intro zenon_H196 ]. % 0.62/0.81 apply (zenon_L67_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18d | zenon_intro zenon_H42 ]. % 0.62/0.81 apply (zenon_L87_); trivial. % 0.62/0.81 exact (zenon_H41 zenon_H42). % 0.62/0.81 (* end of lemma zenon_L89_ *) % 0.62/0.81 assert (zenon_L90_ : ((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a230))/\((c1_1 (a230))/\(c2_1 (a230)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp3)\/(hskp12))) -> (~(hskp12)) -> (~(hskp3)) -> (~(c3_1 (a193))) -> (c1_1 (a193)) -> (~(c0_1 (a193))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> (~(hskp15)) -> (~(hskp2)) -> ((hskp25)\/((hskp15)\/(hskp2))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H142 zenon_H19a zenon_H195 zenon_H182 zenon_H5 zenon_H31 zenon_H176 zenon_H175 zenon_H174 zenon_H4b zenon_H193 zenon_H3 zenon_H41 zenon_H171. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H16f | zenon_intro zenon_H197 ]. % 0.62/0.81 apply (zenon_L81_); trivial. % 0.62/0.81 apply (zenon_L89_); trivial. % 0.62/0.81 (* end of lemma zenon_L90_ *) % 0.62/0.81 assert (zenon_L91_ : (forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25)))))) -> (ndr1_0) -> (~(c0_1 (a193))) -> (~(c3_1 (a193))) -> (c1_1 (a193)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H125 zenon_Ha zenon_H174 zenon_H176 zenon_H175. % 0.62/0.81 generalize (zenon_H125 (a193)). zenon_intro zenon_H19b. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H19b); [ zenon_intro zenon_H9 | zenon_intro zenon_H19c ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H17e | zenon_intro zenon_H179 ]. % 0.62/0.81 exact (zenon_H174 zenon_H17e). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H181 | zenon_intro zenon_H180 ]. % 0.62/0.81 exact (zenon_H176 zenon_H181). % 0.62/0.81 exact (zenon_H180 zenon_H175). % 0.62/0.81 (* end of lemma zenon_L91_ *) % 0.62/0.81 assert (zenon_L92_ : ((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214)))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> (c1_1 (a193)) -> (~(c3_1 (a193))) -> (~(c0_1 (a193))) -> (~(hskp5)) -> False). % 0.62/0.81 do 0 intro. intros zenon_Hb2 zenon_H135 zenon_H175 zenon_H176 zenon_H174 zenon_H2d. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H125 | zenon_intro zenon_H137 ]. % 0.62/0.81 apply (zenon_L91_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb | zenon_intro zenon_H2e ]. % 0.62/0.81 apply (zenon_L6_); trivial. % 0.62/0.81 exact (zenon_H2d zenon_H2e). % 0.62/0.81 (* end of lemma zenon_L92_ *) % 0.62/0.81 assert (zenon_L93_ : ((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (~(hskp9)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H43 zenon_H19d zenon_H14f zenon_H14e zenon_H14d zenon_H17. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H14c | zenon_intro zenon_H19e ]. % 0.62/0.81 apply (zenon_L73_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H35 | zenon_intro zenon_H18 ]. % 0.62/0.81 apply (zenon_L16_); trivial. % 0.62/0.81 exact (zenon_H17 zenon_H18). % 0.62/0.81 (* end of lemma zenon_L93_ *) % 0.62/0.81 assert (zenon_L94_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp23)\/((hskp9)\/(hskp2))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H48 zenon_H19d zenon_H14f zenon_H14e zenon_H14d zenon_H17 zenon_H41 zenon_Hbe. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.81 apply (zenon_L42_); trivial. % 0.62/0.81 apply (zenon_L93_); trivial. % 0.62/0.81 (* end of lemma zenon_L94_ *) % 0.62/0.81 assert (zenon_L95_ : (forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(c0_1 (a259))) -> (c3_1 (a259)) -> (~(c2_1 (a259))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H10d zenon_Ha zenon_H149 zenon_H76 zenon_H78 zenon_H77. % 0.62/0.81 generalize (zenon_H10d (a259)). zenon_intro zenon_H19f. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H19f); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a0 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H7b ]. % 0.62/0.81 generalize (zenon_H149 (a259)). zenon_intro zenon_H1a1. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H1a1); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a2 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H7c | zenon_intro zenon_Ha2 ]. % 0.62/0.81 exact (zenon_H76 zenon_H7c). % 0.62/0.81 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H7d ]. % 0.62/0.81 exact (zenon_Ha3 zenon_Ha7). % 0.62/0.81 exact (zenon_H7d zenon_H78). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7e | zenon_intro zenon_H7d ]. % 0.62/0.81 exact (zenon_H77 zenon_H7e). % 0.62/0.81 exact (zenon_H7d zenon_H78). % 0.62/0.81 (* end of lemma zenon_L95_ *) % 0.62/0.81 assert (zenon_L96_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (~(c2_1 (a259))) -> (c3_1 (a259)) -> (~(c0_1 (a259))) -> (forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H156 zenon_H106 zenon_H105 zenon_H104 zenon_H77 zenon_H78 zenon_H76 zenon_H10d zenon_Ha zenon_H14d zenon_H14e zenon_H14f. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.81 apply (zenon_L59_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.81 apply (zenon_L95_); trivial. % 0.62/0.81 apply (zenon_L73_); trivial. % 0.62/0.81 (* end of lemma zenon_L96_ *) % 0.62/0.81 assert (zenon_L97_ : (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))) -> (c0_1 (a230)) -> (c2_1 (a230)) -> False). % 0.62/0.81 do 0 intro. intros zenon_Hea zenon_Ha zenon_H1b zenon_H184 zenon_H185. % 0.62/0.81 generalize (zenon_Hea (a230)). zenon_intro zenon_H1a3. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H1a3); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a4 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H186 | zenon_intro zenon_H1a5 ]. % 0.62/0.81 apply (zenon_L85_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H18a | zenon_intro zenon_H18c ]. % 0.62/0.81 exact (zenon_H18a zenon_H184). % 0.62/0.81 exact (zenon_H18c zenon_H185). % 0.62/0.81 (* end of lemma zenon_L97_ *) % 0.62/0.81 assert (zenon_L98_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (c3_1 (a189)) -> (c1_1 (a189)) -> (c0_1 (a189)) -> (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (c0_1 (a230)) -> (c2_1 (a230)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1a6 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H38 zenon_H37 zenon_H36 zenon_Hea zenon_Ha zenon_H184 zenon_H185. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.81 apply (zenon_L44_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.81 apply (zenon_L16_); trivial. % 0.62/0.81 apply (zenon_L97_); trivial. % 0.62/0.81 (* end of lemma zenon_L98_ *) % 0.62/0.81 assert (zenon_L99_ : ((ndr1_0)/\((c0_1 (a230))/\((c1_1 (a230))/\(c2_1 (a230))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp1))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (c0_1 (a189)) -> (c1_1 (a189)) -> (c3_1 (a189)) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp1)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H197 zenon_H1a8 zenon_H14f zenon_H14e zenon_H14d zenon_H36 zenon_H37 zenon_H38 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1a6 zenon_H3f. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Ha. zenon_intro zenon_H198. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H184. zenon_intro zenon_H199. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_H18e. zenon_intro zenon_H185. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H14c | zenon_intro zenon_H1a9 ]. % 0.62/0.81 apply (zenon_L73_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_Hea | zenon_intro zenon_H40 ]. % 0.62/0.81 apply (zenon_L98_); trivial. % 0.62/0.81 exact (zenon_H3f zenon_H40). % 0.62/0.81 (* end of lemma zenon_L99_ *) % 0.62/0.81 assert (zenon_L100_ : ((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a230))/\((c1_1 (a230))/\(c2_1 (a230)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (~(hskp15)) -> (~(hskp2)) -> ((hskp25)\/((hskp15)\/(hskp2))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H43 zenon_H19a zenon_H1a8 zenon_H3f zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1a6 zenon_H14f zenon_H14e zenon_H14d zenon_H3 zenon_H41 zenon_H171. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H16f | zenon_intro zenon_H197 ]. % 0.62/0.81 apply (zenon_L81_); trivial. % 0.62/0.81 apply (zenon_L99_); trivial. % 0.62/0.81 (* end of lemma zenon_L100_ *) % 0.62/0.81 assert (zenon_L101_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a230))/\((c1_1 (a230))/\(c2_1 (a230)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (~(hskp15)) -> (~(hskp2)) -> ((hskp25)\/((hskp15)\/(hskp2))) -> (ndr1_0) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp16)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H48 zenon_H19a zenon_H1a8 zenon_H3f zenon_H1a6 zenon_H14f zenon_H14e zenon_H14d zenon_H3 zenon_H41 zenon_H171 zenon_Ha zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hca zenon_Hcc. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.81 apply (zenon_L46_); trivial. % 0.62/0.81 apply (zenon_L100_); trivial. % 0.62/0.81 (* end of lemma zenon_L101_ *) % 0.62/0.81 assert (zenon_L102_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a221))) -> (~(c1_1 (a221))) -> (~(c2_1 (a221))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1aa zenon_Ha zenon_Hd2 zenon_Hd3 zenon_Hd4. % 0.62/0.81 generalize (zenon_H1aa (a221)). zenon_intro zenon_H1ab. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H1ab); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ac ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H1ad ]. % 0.62/0.81 exact (zenon_Hd2 zenon_Hd8). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_Hda | zenon_intro zenon_Hdf ]. % 0.62/0.81 exact (zenon_Hd3 zenon_Hda). % 0.62/0.81 exact (zenon_Hd4 zenon_Hdf). % 0.62/0.81 (* end of lemma zenon_L102_ *) % 0.62/0.81 assert (zenon_L103_ : (forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c2_1 (a223))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (c3_1 (a223)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1ae zenon_Ha zenon_H10f zenon_H75 zenon_H110. % 0.62/0.81 generalize (zenon_H1ae (a223)). zenon_intro zenon_H1af. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H1af); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b0 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H116 | zenon_intro zenon_H1b1 ]. % 0.62/0.81 exact (zenon_H10f zenon_H116). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H115 ]. % 0.62/0.81 generalize (zenon_H75 (a223)). zenon_intro zenon_H1b3. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H1b3); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b4 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H113 ]. % 0.62/0.81 exact (zenon_H1b2 zenon_H1b5). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H116 | zenon_intro zenon_H115 ]. % 0.62/0.81 exact (zenon_H10f zenon_H116). % 0.62/0.81 exact (zenon_H115 zenon_H110). % 0.62/0.81 exact (zenon_H115 zenon_H110). % 0.62/0.81 (* end of lemma zenon_L103_ *) % 0.62/0.81 assert (zenon_L104_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp10))) -> (c3_1 (a223)) -> (~(c2_1 (a223))) -> (forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (~(hskp24)) -> (ndr1_0) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (c0_1 (a194)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(hskp10)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H8c zenon_H110 zenon_H10f zenon_H1ae zenon_H58 zenon_Ha zenon_H14e zenon_H14d zenon_H14f zenon_H158 zenon_H89. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H75 | zenon_intro zenon_H8f ]. % 0.62/0.81 apply (zenon_L103_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7f | zenon_intro zenon_H8a ]. % 0.62/0.81 apply (zenon_L76_); trivial. % 0.62/0.81 exact (zenon_H89 zenon_H8a). % 0.62/0.81 (* end of lemma zenon_L104_ *) % 0.62/0.81 assert (zenon_L105_ : ((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((hskp1)\/(hskp2))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (~(c0_1 (a221))) -> (~(c1_1 (a221))) -> (~(c2_1 (a221))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H119 zenon_H74 zenon_H156 zenon_H3f zenon_H41 zenon_H44 zenon_H106 zenon_H105 zenon_H104 zenon_Hd2 zenon_Hd3 zenon_Hd4 zenon_H8c zenon_H89 zenon_H14d zenon_H14e zenon_H14f zenon_H158 zenon_H9b zenon_H1b6. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11a. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H110. zenon_intro zenon_H11b. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b7 ]. % 0.62/0.81 apply (zenon_L102_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1ae | zenon_intro zenon_H9c ]. % 0.62/0.81 apply (zenon_L104_); trivial. % 0.62/0.81 exact (zenon_H9b zenon_H9c). % 0.62/0.81 apply (zenon_L74_); trivial. % 0.62/0.81 (* end of lemma zenon_L105_ *) % 0.62/0.81 assert (zenon_L106_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))) -> (~(c3_1 (a222))) -> (c1_1 (a222)) -> (c2_1 (a222)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H91 zenon_Ha zenon_H18d zenon_H124 zenon_H126 zenon_H127. % 0.62/0.81 generalize (zenon_H91 (a222)). zenon_intro zenon_H1b8. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H1b8); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b9 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ba ]. % 0.62/0.81 generalize (zenon_H18d (a222)). zenon_intro zenon_H1bb. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H1bb); [ zenon_intro zenon_H9 | zenon_intro zenon_H1bc ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H12b | zenon_intro zenon_H1bd ]. % 0.62/0.81 exact (zenon_H124 zenon_H12b). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H12d | zenon_intro zenon_H132 ]. % 0.62/0.81 exact (zenon_H12d zenon_H131). % 0.62/0.81 exact (zenon_H132 zenon_H126). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H132 | zenon_intro zenon_H12c ]. % 0.62/0.81 exact (zenon_H132 zenon_H126). % 0.62/0.81 exact (zenon_H12c zenon_H127). % 0.62/0.81 (* end of lemma zenon_L106_ *) % 0.62/0.81 assert (zenon_L107_ : (~(hskp13)) -> (hskp13) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1be zenon_H1bf. % 0.62/0.81 exact (zenon_H1be zenon_H1bf). % 0.62/0.81 (* end of lemma zenon_L107_ *) % 0.62/0.81 assert (zenon_L108_ : ((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222)))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a259))/\((~(c0_1 (a259)))/\(~(c2_1 (a259))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp13))) -> (~(hskp13)) -> ((hskp24)\/((hskp22)\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (c2_1 (a199)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((hskp1)\/(hskp2))) -> (~(hskp1)) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H145 zenon_H90 zenon_H117 zenon_H1c0 zenon_H1be zenon_H5a zenon_H41 zenon_H104 zenon_H105 zenon_H106 zenon_H44 zenon_H3f zenon_H14d zenon_H14e zenon_H14f zenon_H156 zenon_H74. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_Ha. zenon_intro zenon_H147. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H126. zenon_intro zenon_H148. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H127. zenon_intro zenon_H124. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H5b | zenon_intro zenon_H8b ]. % 0.62/0.81 apply (zenon_L75_); trivial. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8d. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H78. zenon_intro zenon_H8e. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H76. zenon_intro zenon_H77. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H103 | zenon_intro zenon_H118 ]. % 0.62/0.81 apply (zenon_L59_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H91 | zenon_intro zenon_H10d ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.81 apply (zenon_L59_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H10d | zenon_intro zenon_H1c1 ]. % 0.62/0.81 apply (zenon_L95_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H18d | zenon_intro zenon_H1bf ]. % 0.62/0.81 apply (zenon_L106_); trivial. % 0.62/0.81 exact (zenon_H1be zenon_H1bf). % 0.62/0.81 apply (zenon_L73_); trivial. % 0.62/0.81 apply (zenon_L96_); trivial. % 0.62/0.81 (* end of lemma zenon_L108_ *) % 0.62/0.81 assert (zenon_L109_ : ((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a259))/\((~(c0_1 (a259)))/\(~(c2_1 (a259))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp13))) -> (~(hskp13)) -> ((hskp24)\/((hskp22)\/(hskp2))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp10))) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (c2_1 (a199)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> False). % 0.62/0.81 do 0 intro. intros zenon_Hf8 zenon_H1c2 zenon_H90 zenon_H117 zenon_H1c0 zenon_H1be zenon_H5a zenon_H101 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H1b6 zenon_H9b zenon_H158 zenon_H14f zenon_H14e zenon_H14d zenon_H89 zenon_H8c zenon_H104 zenon_H105 zenon_H106 zenon_H44 zenon_H41 zenon_H3f zenon_H156 zenon_H74 zenon_H1c3. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Ha. zenon_intro zenon_Hfa. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hd2. zenon_intro zenon_Hfb. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hff | zenon_intro zenon_H119 ]. % 0.62/0.81 apply (zenon_L58_); trivial. % 0.62/0.81 apply (zenon_L105_); trivial. % 0.62/0.81 apply (zenon_L108_); trivial. % 0.62/0.81 (* end of lemma zenon_L109_ *) % 0.62/0.81 assert (zenon_L110_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a259))/\((~(c0_1 (a259)))/\(~(c2_1 (a259))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp13))) -> (~(hskp13)) -> ((hskp24)\/((hskp22)\/(hskp2))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp10))) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (c2_1 (a199)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((hskp1)\/(hskp2))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (ndr1_0) -> ((hskp25)\/((hskp15)\/(hskp2))) -> (~(hskp2)) -> (~(hskp15)) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp1)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a230))/\((c1_1 (a230))/\(c2_1 (a230)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> False). % 0.62/0.81 do 0 intro. intros zenon_Hfc zenon_H1c2 zenon_H90 zenon_H117 zenon_H1c0 zenon_H1be zenon_H5a zenon_H101 zenon_H1b6 zenon_H9b zenon_H158 zenon_H89 zenon_H8c zenon_H104 zenon_H105 zenon_H106 zenon_H44 zenon_H156 zenon_H74 zenon_H1c3 zenon_Hcc zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_Ha zenon_H171 zenon_H41 zenon_H3 zenon_H14d zenon_H14e zenon_H14f zenon_H1a6 zenon_H3f zenon_H1a8 zenon_H19a zenon_H48. % 0.62/0.81 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.81 apply (zenon_L101_); trivial. % 0.62/0.81 apply (zenon_L109_); trivial. % 0.62/0.81 (* end of lemma zenon_L110_ *) % 0.62/0.81 assert (zenon_L111_ : (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (~(c0_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> False). % 0.62/0.81 do 0 intro. intros zenon_He0 zenon_Ha zenon_H91 zenon_Hc zenon_He zenon_Hd. % 0.62/0.81 generalize (zenon_He0 (a214)). zenon_intro zenon_H1c4. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H1c4); [ zenon_intro zenon_H9 | zenon_intro zenon_H1c5 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H9a | zenon_intro zenon_H11 ]. % 0.62/0.81 generalize (zenon_H91 (a214)). zenon_intro zenon_H93. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H93); [ zenon_intro zenon_H9 | zenon_intro zenon_H94 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H12 | zenon_intro zenon_H95 ]. % 0.62/0.81 exact (zenon_Hc zenon_H12). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H96 | zenon_intro zenon_H13 ]. % 0.62/0.81 exact (zenon_H96 zenon_H9a). % 0.62/0.81 exact (zenon_H13 zenon_He). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 0.62/0.81 exact (zenon_Hd zenon_H14). % 0.62/0.81 exact (zenon_H13 zenon_He). % 0.62/0.81 (* end of lemma zenon_L111_ *) % 0.62/0.81 assert (zenon_L112_ : (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))) -> (ndr1_0) -> (c0_1 (a189)) -> (forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69)))))) -> (c1_1 (a189)) -> (c3_1 (a189)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1b zenon_Ha zenon_H36 zenon_H1c6 zenon_H37 zenon_H38. % 0.62/0.81 generalize (zenon_H1b (a189)). zenon_intro zenon_H1c7. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H1c7); [ zenon_intro zenon_H9 | zenon_intro zenon_H1c8 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H3c | zenon_intro zenon_H1c9 ]. % 0.62/0.81 exact (zenon_H3c zenon_H36). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1ca | zenon_intro zenon_H3d ]. % 0.62/0.81 generalize (zenon_H1c6 (a189)). zenon_intro zenon_H1cb. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H1cb); [ zenon_intro zenon_H9 | zenon_intro zenon_H1cc ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1cd ]. % 0.62/0.81 exact (zenon_H1ca zenon_H1ce). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H3c | zenon_intro zenon_H3e ]. % 0.62/0.81 exact (zenon_H3c zenon_H36). % 0.62/0.81 exact (zenon_H3e zenon_H37). % 0.62/0.81 exact (zenon_H3d zenon_H38). % 0.62/0.81 (* end of lemma zenon_L112_ *) % 0.62/0.81 assert (zenon_L113_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c0_1 (a214))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (c3_1 (a189)) -> (c1_1 (a189)) -> (c0_1 (a189)) -> (ndr1_0) -> (~(hskp24)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1a6 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H1cf zenon_Hd zenon_He zenon_Hc zenon_H91 zenon_H38 zenon_H37 zenon_H36 zenon_Ha zenon_H58. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.81 apply (zenon_L44_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.81 apply (zenon_L16_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_He0 | zenon_intro zenon_H1d0 ]. % 0.62/0.81 apply (zenon_L111_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H59 ]. % 0.62/0.81 apply (zenon_L112_); trivial. % 0.62/0.81 exact (zenon_H58 zenon_H59). % 0.62/0.81 (* end of lemma zenon_L113_ *) % 0.62/0.81 assert (zenon_L114_ : (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c1_1 (a215)) -> (c3_1 (a215)) -> (c2_1 (a215)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1b zenon_Ha zenon_H149 zenon_H61 zenon_H60 zenon_H5f. % 0.62/0.81 generalize (zenon_H1b (a215)). zenon_intro zenon_H1d1. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H1d1); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d2 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 0.62/0.81 apply (zenon_L70_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H6b | zenon_intro zenon_H6a ]. % 0.62/0.81 exact (zenon_H6b zenon_H5f). % 0.62/0.81 exact (zenon_H6a zenon_H60). % 0.62/0.81 (* end of lemma zenon_L114_ *) % 0.62/0.81 assert (zenon_L115_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (c3_1 (a189)) -> (c1_1 (a189)) -> (c0_1 (a189)) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c1_1 (a215)) -> (c3_1 (a215)) -> (c2_1 (a215)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1a6 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H38 zenon_H37 zenon_H36 zenon_Ha zenon_H149 zenon_H61 zenon_H60 zenon_H5f. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.81 apply (zenon_L44_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.81 apply (zenon_L16_); trivial. % 0.62/0.81 apply (zenon_L114_); trivial. % 0.62/0.81 (* end of lemma zenon_L115_ *) % 0.62/0.81 assert (zenon_L116_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c0_1 (a189)) -> (c1_1 (a189)) -> (c3_1 (a189)) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H6f zenon_H156 zenon_H106 zenon_H105 zenon_H104 zenon_H36 zenon_H37 zenon_H38 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1a6 zenon_H14d zenon_H14e zenon_H14f. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.81 apply (zenon_L59_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.81 apply (zenon_L115_); trivial. % 0.62/0.81 apply (zenon_L73_); trivial. % 0.62/0.81 (* end of lemma zenon_L116_ *) % 0.62/0.81 assert (zenon_L117_ : ((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp2))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H43 zenon_H74 zenon_H156 zenon_H106 zenon_H105 zenon_H104 zenon_H1a6 zenon_Hc zenon_He zenon_Hd zenon_H1cf zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H14d zenon_H14e zenon_H14f zenon_H41 zenon_H1d3. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H91 | zenon_intro zenon_H1d4 ]. % 0.62/0.81 apply (zenon_L113_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H14c | zenon_intro zenon_H42 ]. % 0.62/0.81 apply (zenon_L73_); trivial. % 0.62/0.81 exact (zenon_H41 zenon_H42). % 0.62/0.81 apply (zenon_L116_); trivial. % 0.62/0.81 (* end of lemma zenon_L117_ *) % 0.62/0.81 assert (zenon_L118_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp2))) -> (ndr1_0) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp16)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H48 zenon_H74 zenon_H156 zenon_H106 zenon_H105 zenon_H104 zenon_H1a6 zenon_Hc zenon_He zenon_Hd zenon_H1cf zenon_H14d zenon_H14e zenon_H14f zenon_H41 zenon_H1d3 zenon_Ha zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hca zenon_Hcc. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.81 apply (zenon_L46_); trivial. % 0.62/0.81 apply (zenon_L117_); trivial. % 0.62/0.81 (* end of lemma zenon_L118_ *) % 0.62/0.81 assert (zenon_L119_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a209))) -> (c1_1 (a209)) -> (c3_1 (a209)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H149 zenon_Ha zenon_H1d5 zenon_H1d6 zenon_H1d7. % 0.62/0.81 generalize (zenon_H149 (a209)). zenon_intro zenon_H1d8. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H1d8); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d9 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1db | zenon_intro zenon_H1da ]. % 0.62/0.81 exact (zenon_H1d5 zenon_H1db). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1dc ]. % 0.62/0.81 exact (zenon_H1dd zenon_H1d6). % 0.62/0.81 exact (zenon_H1dc zenon_H1d7). % 0.62/0.81 (* end of lemma zenon_L119_ *) % 0.62/0.81 assert (zenon_L120_ : ((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1de zenon_H156 zenon_H106 zenon_H105 zenon_H104 zenon_H14d zenon_H14e zenon_H14f. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_Ha. zenon_intro zenon_H1df. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d6. zenon_intro zenon_H1e0. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d5. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.81 apply (zenon_L59_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.81 apply (zenon_L119_); trivial. % 0.62/0.81 apply (zenon_L73_); trivial. % 0.62/0.81 (* end of lemma zenon_L120_ *) % 0.62/0.81 assert (zenon_L121_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c1_1 (a215)) -> (c3_1 (a215)) -> (c2_1 (a215)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1a6 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_Ha zenon_H149 zenon_H61 zenon_H60 zenon_H5f. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.81 apply (zenon_L44_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.81 apply (zenon_L71_); trivial. % 0.62/0.81 apply (zenon_L114_); trivial. % 0.62/0.81 (* end of lemma zenon_L121_ *) % 0.62/0.81 assert (zenon_L122_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H6f zenon_H156 zenon_H106 zenon_H105 zenon_H104 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1a6 zenon_H14d zenon_H14e zenon_H14f. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.81 apply (zenon_L59_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.81 apply (zenon_L121_); trivial. % 0.62/0.81 apply (zenon_L73_); trivial. % 0.62/0.81 (* end of lemma zenon_L122_ *) % 0.62/0.81 assert (zenon_L123_ : ((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H16c zenon_H74 zenon_H156 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1a6 zenon_H106 zenon_H105 zenon_H104 zenon_H14d zenon_H14e zenon_H14f zenon_H158. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.81 apply (zenon_L78_); trivial. % 0.62/0.81 apply (zenon_L122_); trivial. % 0.62/0.81 (* end of lemma zenon_L123_ *) % 0.62/0.81 assert (zenon_L124_ : ((ndr1_0)/\((c0_1 (a195))/\((~(c1_1 (a195)))/\(~(c3_1 (a195)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp2))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a230))/\((c1_1 (a230))/\(c2_1 (a230)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((hskp25)\/((hskp15)\/(hskp2))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((hskp1)\/(hskp2))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp10))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> ((hskp24)\/((hskp22)\/(hskp2))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp13))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a259))/\((~(c0_1 (a259)))/\(~(c2_1 (a259))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((hskp23)\/((hskp9)\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1e1 zenon_H1e2 zenon_H1e3 zenon_Haf zenon_H1d3 zenon_H1cf zenon_H19a zenon_H1a8 zenon_H3f zenon_H1a6 zenon_H171 zenon_Hcc zenon_H1c3 zenon_H74 zenon_H156 zenon_H44 zenon_H8c zenon_H158 zenon_H9b zenon_H1b6 zenon_H101 zenon_H5a zenon_H1c0 zenon_H117 zenon_H90 zenon_H1c2 zenon_Hfc zenon_H1e4 zenon_Hbe zenon_H41 zenon_H14d zenon_H14e zenon_H14f zenon_H19d zenon_H48. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e5. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_Hc3. zenon_intro zenon_H1e6. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Hc1. zenon_intro zenon_Hc2. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.81 apply (zenon_L94_); trivial. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.81 apply (zenon_L110_); trivial. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.81 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.81 apply (zenon_L118_); trivial. % 0.62/0.81 apply (zenon_L109_); trivial. % 0.62/0.81 apply (zenon_L120_); trivial. % 0.62/0.81 apply (zenon_L123_); trivial. % 0.62/0.81 (* end of lemma zenon_L124_ *) % 0.62/0.81 assert (zenon_L125_ : (forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))) -> (ndr1_0) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H18d zenon_Ha zenon_H1ea zenon_H1eb zenon_H1ec. % 0.62/0.81 generalize (zenon_H18d (a192)). zenon_intro zenon_H1ed. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H1ed); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ee ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H1ef ]. % 0.62/0.81 exact (zenon_H1ea zenon_H1f0). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1f1 ]. % 0.62/0.81 exact (zenon_H1f2 zenon_H1eb). % 0.62/0.81 exact (zenon_H1f1 zenon_H1ec). % 0.62/0.81 (* end of lemma zenon_L125_ *) % 0.62/0.81 assert (zenon_L126_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (~(c0_1 (a214))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1f3 zenon_He zenon_Hd zenon_H92 zenon_Hc zenon_H1ec zenon_H1eb zenon_H1ea zenon_Ha zenon_H5. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H91 | zenon_intro zenon_H1f4 ]. % 0.62/0.81 apply (zenon_L34_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H18d | zenon_intro zenon_H6 ]. % 0.62/0.81 apply (zenon_L125_); trivial. % 0.62/0.81 exact (zenon_H5 zenon_H6). % 0.62/0.81 (* end of lemma zenon_L126_ *) % 0.62/0.81 assert (zenon_L127_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> (~(hskp5)) -> (~(hskp23)) -> (~(c1_1 (a210))) -> (c3_1 (a210)) -> (c2_1 (a210)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (ndr1_0) -> (~(hskp2)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H195 zenon_H2d zenon_H2b zenon_H1d zenon_H1e zenon_H1f zenon_H2f zenon_H1ec zenon_H1eb zenon_H1ea zenon_Ha zenon_H41. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H1c | zenon_intro zenon_H196 ]. % 0.62/0.81 apply (zenon_L13_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18d | zenon_intro zenon_H42 ]. % 0.62/0.81 apply (zenon_L125_); trivial. % 0.62/0.81 exact (zenon_H41 zenon_H42). % 0.62/0.81 (* end of lemma zenon_L127_ *) % 0.62/0.81 assert (zenon_L128_ : ((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((hskp1)\/(hskp2))) -> (~(hskp1)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> (~(hskp2)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> False). % 0.62/0.81 do 0 intro. intros zenon_Ha8 zenon_H48 zenon_H44 zenon_H3f zenon_H2f zenon_H2d zenon_H1ea zenon_H1eb zenon_H1ec zenon_H41 zenon_H195. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H1f. zenon_intro zenon_Haa. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.81 apply (zenon_L127_); trivial. % 0.62/0.81 apply (zenon_L19_); trivial. % 0.62/0.81 (* end of lemma zenon_L128_ *) % 0.62/0.81 assert (zenon_L129_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a230))/\((c1_1 (a230))/\(c2_1 (a230)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp19)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(hskp2)) -> ((hskp25)\/((hskp15)\/(hskp2))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp16)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (~(hskp5)) -> (~(hskp15)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> False). % 0.62/0.81 do 0 intro. intros zenon_Hf9 zenon_H48 zenon_H19a zenon_H1a6 zenon_H133 zenon_H136 zenon_H41 zenon_H171 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hca zenon_Hcc zenon_H2d zenon_H3 zenon_Hce. % 0.62/0.81 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.81 apply (zenon_L48_); trivial. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.81 apply (zenon_L46_); trivial. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H16f | zenon_intro zenon_H197 ]. % 0.62/0.81 apply (zenon_L81_); trivial. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Ha. zenon_intro zenon_H198. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H184. zenon_intro zenon_H199. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_H18e. zenon_intro zenon_H185. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.81 apply (zenon_L44_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.81 apply (zenon_L16_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He0 | zenon_intro zenon_H138 ]. % 0.62/0.81 apply (zenon_L50_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hea | zenon_intro zenon_H134 ]. % 0.62/0.81 apply (zenon_L97_); trivial. % 0.62/0.81 exact (zenon_H133 zenon_H134). % 0.62/0.81 (* end of lemma zenon_L129_ *) % 0.62/0.81 assert (zenon_L130_ : ((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (~(hskp2)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H142 zenon_H195 zenon_H1ec zenon_H1eb zenon_H1ea zenon_H41. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H1c | zenon_intro zenon_H196 ]. % 0.62/0.81 apply (zenon_L67_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18d | zenon_intro zenon_H42 ]. % 0.62/0.81 apply (zenon_L125_); trivial. % 0.62/0.81 exact (zenon_H41 zenon_H42). % 0.62/0.81 (* end of lemma zenon_L130_ *) % 0.62/0.81 assert (zenon_L131_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a230))/\((c1_1 (a230))/\(c2_1 (a230)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(hskp2)) -> ((hskp25)\/((hskp15)\/(hskp2))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (~(hskp5)) -> (~(hskp15)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> False). % 0.62/0.81 do 0 intro. intros zenon_Hfc zenon_Hb0 zenon_H3f zenon_Hf3 zenon_Hf9 zenon_H48 zenon_H19a zenon_H1a6 zenon_H136 zenon_H41 zenon_H171 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hcc zenon_H2d zenon_H3 zenon_Hce zenon_H1ea zenon_H1eb zenon_H1ec zenon_H195 zenon_H146. % 0.62/0.81 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.81 apply (zenon_L129_); trivial. % 0.62/0.81 apply (zenon_L130_); trivial. % 0.62/0.81 apply (zenon_L54_); trivial. % 0.62/0.81 (* end of lemma zenon_L131_ *) % 0.62/0.81 assert (zenon_L132_ : ((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> (~(hskp11)) -> (~(hskp9)) -> False). % 0.62/0.81 do 0 intro. intros zenon_Hb2 zenon_H19 zenon_H15 zenon_H17. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.81 apply (zenon_L9_); trivial. % 0.62/0.81 (* end of lemma zenon_L132_ *) % 0.62/0.81 assert (zenon_L133_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> (~(hskp9)) -> (~(hskp11)) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp5)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((hskp25)\/((hskp15)\/(hskp2))) -> (~(hskp2)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a230))/\((c1_1 (a230))/\(c2_1 (a230)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221))))))) -> False). % 0.62/0.81 do 0 intro. intros zenon_Haf zenon_H19 zenon_H17 zenon_H15 zenon_H146 zenon_H195 zenon_H1ec zenon_H1eb zenon_H1ea zenon_Hce zenon_H2d zenon_Hcc zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H171 zenon_H41 zenon_H136 zenon_H1a6 zenon_H19a zenon_H48 zenon_Hf9 zenon_Hf3 zenon_H3f zenon_Hb0 zenon_Hfc. % 0.62/0.81 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.81 apply (zenon_L131_); trivial. % 0.62/0.81 apply (zenon_L132_); trivial. % 0.62/0.81 (* end of lemma zenon_L133_ *) % 0.62/0.81 assert (zenon_L134_ : (forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69)))))) -> (ndr1_0) -> (forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1c6 zenon_Ha zenon_H1f5 zenon_H1eb zenon_H1ec. % 0.62/0.81 generalize (zenon_H1c6 (a192)). zenon_intro zenon_H1f6. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H1f6); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f7 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1ef ]. % 0.62/0.81 generalize (zenon_H1f5 (a192)). zenon_intro zenon_H1f9. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H1f9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1fa ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1fb ]. % 0.62/0.81 exact (zenon_H1f2 zenon_H1eb). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1fb); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H1fc ]. % 0.62/0.81 exact (zenon_H1f1 zenon_H1ec). % 0.62/0.81 exact (zenon_H1fc zenon_H1f8). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1f1 ]. % 0.62/0.81 exact (zenon_H1f2 zenon_H1eb). % 0.62/0.81 exact (zenon_H1f1 zenon_H1ec). % 0.62/0.81 (* end of lemma zenon_L134_ *) % 0.62/0.81 assert (zenon_L135_ : ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp25)\/(hskp16))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp16)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1fd zenon_H1ec zenon_H1eb zenon_H1f5 zenon_Ha zenon_H16f zenon_Hca. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1fe ]. % 0.62/0.81 apply (zenon_L134_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H170 | zenon_intro zenon_Hcb ]. % 0.62/0.81 exact (zenon_H16f zenon_H170). % 0.62/0.81 exact (zenon_Hca zenon_Hcb). % 0.62/0.81 (* end of lemma zenon_L135_ *) % 0.62/0.81 assert (zenon_L136_ : (forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))) -> (ndr1_0) -> (c0_1 (a230)) -> (c1_1 (a230)) -> (c2_1 (a230)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1f5 zenon_Ha zenon_H184 zenon_H18e zenon_H185. % 0.62/0.81 generalize (zenon_H1f5 (a230)). zenon_intro zenon_H1ff. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H1ff); [ zenon_intro zenon_H9 | zenon_intro zenon_H200 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H18a | zenon_intro zenon_H201 ]. % 0.62/0.81 exact (zenon_H18a zenon_H184). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H192 | zenon_intro zenon_H18c ]. % 0.62/0.81 exact (zenon_H192 zenon_H18e). % 0.62/0.81 exact (zenon_H18c zenon_H185). % 0.62/0.81 (* end of lemma zenon_L136_ *) % 0.62/0.81 assert (zenon_L137_ : ((ndr1_0)/\((c0_1 (a230))/\((c1_1 (a230))/\(c2_1 (a230))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H197 zenon_H202 zenon_He zenon_Hd zenon_Hc zenon_H82 zenon_H81 zenon_H80. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Ha. zenon_intro zenon_H198. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H184. zenon_intro zenon_H199. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_H18e. zenon_intro zenon_H185. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hb | zenon_intro zenon_H203 ]. % 0.62/0.81 apply (zenon_L6_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H7f | zenon_intro zenon_H1f5 ]. % 0.62/0.81 apply (zenon_L30_); trivial. % 0.62/0.81 apply (zenon_L136_); trivial. % 0.62/0.81 (* end of lemma zenon_L137_ *) % 0.62/0.81 assert (zenon_L138_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a230))/\((c1_1 (a230))/\(c2_1 (a230)))))) -> (ndr1_0) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp25)\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a192)) -> (c0_1 (a192)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H19a zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H80 zenon_H81 zenon_H82 zenon_H1fd zenon_Hca zenon_H1ec zenon_H1eb zenon_H202. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H16f | zenon_intro zenon_H197 ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hb | zenon_intro zenon_H203 ]. % 0.62/0.81 apply (zenon_L6_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H7f | zenon_intro zenon_H1f5 ]. % 0.62/0.81 apply (zenon_L30_); trivial. % 0.62/0.81 apply (zenon_L135_); trivial. % 0.62/0.81 apply (zenon_L137_); trivial. % 0.62/0.81 (* end of lemma zenon_L138_ *) % 0.62/0.81 assert (zenon_L139_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp10))) -> (~(c2_1 (a221))) -> (~(c1_1 (a221))) -> (~(c0_1 (a221))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H8c zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_H92 zenon_H82 zenon_H81 zenon_H80 zenon_Ha zenon_H89. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H75 | zenon_intro zenon_H8f ]. % 0.62/0.81 apply (zenon_L49_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7f | zenon_intro zenon_H8a ]. % 0.62/0.81 apply (zenon_L30_); trivial. % 0.62/0.81 exact (zenon_H89 zenon_H8a). % 0.62/0.81 (* end of lemma zenon_L139_ *) % 0.62/0.81 assert (zenon_L140_ : ((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp10))) -> False). % 0.62/0.81 do 0 intro. intros zenon_Hf8 zenon_Hb0 zenon_H3f zenon_H80 zenon_H81 zenon_H82 zenon_H89 zenon_H8c. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Ha. zenon_intro zenon_Hfa. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hd2. zenon_intro zenon_Hfb. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 0.62/0.81 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H92 | zenon_intro zenon_H40 ]. % 0.62/0.81 apply (zenon_L139_); trivial. % 0.62/0.81 exact (zenon_H3f zenon_H40). % 0.62/0.81 (* end of lemma zenon_L140_ *) % 0.62/0.81 assert (zenon_L141_ : ((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp10))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp25)\/(hskp16))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a230))/\((c1_1 (a230))/\(c2_1 (a230)))))) -> False). % 0.62/0.81 do 0 intro. intros zenon_Hb2 zenon_Hfc zenon_Hb0 zenon_H3f zenon_H89 zenon_H8c zenon_H202 zenon_H1eb zenon_H1ec zenon_H1fd zenon_H82 zenon_H81 zenon_H80 zenon_H19a. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.81 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.81 apply (zenon_L138_); trivial. % 0.62/0.81 apply (zenon_L140_); trivial. % 0.62/0.81 (* end of lemma zenon_L141_ *) % 0.62/0.81 assert (zenon_L142_ : ((ndr1_0)/\((c0_1 (a202))/\((~(c2_1 (a202)))/\(~(c3_1 (a202)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp10))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((hskp25)\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp5)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((hskp25)\/((hskp15)\/(hskp2))) -> (~(hskp2)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a230))/\((c1_1 (a230))/\(c2_1 (a230)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221))))))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H204 zenon_Haf zenon_H89 zenon_H8c zenon_H202 zenon_H1fd zenon_H146 zenon_H195 zenon_H1ec zenon_H1eb zenon_H1ea zenon_Hce zenon_H2d zenon_Hcc zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H171 zenon_H41 zenon_H136 zenon_H1a6 zenon_H19a zenon_H48 zenon_Hf9 zenon_Hf3 zenon_H3f zenon_Hb0 zenon_Hfc. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H205. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H82. zenon_intro zenon_H206. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H80. zenon_intro zenon_H81. % 0.62/0.81 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.81 apply (zenon_L131_); trivial. % 0.62/0.81 apply (zenon_L141_); trivial. % 0.62/0.81 (* end of lemma zenon_L142_ *) % 0.62/0.81 assert (zenon_L143_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (~(c2_1 (a223))) -> (c3_1 (a223)) -> (~(c1_1 (a223))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1c zenon_Ha zenon_H1ae zenon_H10f zenon_H110 zenon_H10e. % 0.62/0.81 generalize (zenon_H1c (a223)). zenon_intro zenon_H207. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H207); [ zenon_intro zenon_H9 | zenon_intro zenon_H208 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H209 ]. % 0.62/0.81 generalize (zenon_H1ae (a223)). zenon_intro zenon_H1af. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H1af); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b0 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H116 | zenon_intro zenon_H1b1 ]. % 0.62/0.81 exact (zenon_H10f zenon_H116). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H115 ]. % 0.62/0.81 exact (zenon_H1b2 zenon_H1b5). % 0.62/0.81 exact (zenon_H115 zenon_H110). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H114 | zenon_intro zenon_H115 ]. % 0.62/0.81 exact (zenon_H10e zenon_H114). % 0.62/0.81 exact (zenon_H115 zenon_H110). % 0.62/0.81 (* end of lemma zenon_L143_ *) % 0.62/0.81 assert (zenon_L144_ : ((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c2_1 (a221))) -> (~(c1_1 (a221))) -> (~(c0_1 (a221))) -> (~(hskp2)) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> (~(hskp0)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H119 zenon_H1b6 zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_H41 zenon_H1ea zenon_H1eb zenon_H1ec zenon_H195 zenon_H9b. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11a. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H110. zenon_intro zenon_H11b. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b7 ]. % 0.62/0.81 apply (zenon_L102_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1ae | zenon_intro zenon_H9c ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H1c | zenon_intro zenon_H196 ]. % 0.62/0.81 apply (zenon_L143_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18d | zenon_intro zenon_H42 ]. % 0.62/0.81 apply (zenon_L125_); trivial. % 0.62/0.81 exact (zenon_H41 zenon_H42). % 0.62/0.81 exact (zenon_H9b zenon_H9c). % 0.62/0.81 (* end of lemma zenon_L144_ *) % 0.62/0.81 assert (zenon_L145_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> (~(hskp2)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> (~(c2_1 (a221))) -> (~(c1_1 (a221))) -> (~(c0_1 (a221))) -> (ndr1_0) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp17)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1c3 zenon_H1b6 zenon_H9b zenon_H1ea zenon_H1eb zenon_H1ec zenon_H41 zenon_H195 zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_Ha zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hfd zenon_H101. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hff | zenon_intro zenon_H119 ]. % 0.62/0.81 apply (zenon_L58_); trivial. % 0.62/0.81 apply (zenon_L144_); trivial. % 0.62/0.81 (* end of lemma zenon_L145_ *) % 0.62/0.81 assert (zenon_L146_ : (forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))) -> (c0_1 (a200)) -> (c3_1 (a200)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1ae zenon_Ha zenon_H1b zenon_H164 zenon_H165. % 0.62/0.81 generalize (zenon_H1ae (a200)). zenon_intro zenon_H20a. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H20a); [ zenon_intro zenon_H9 | zenon_intro zenon_H20b ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H20c | zenon_intro zenon_H168 ]. % 0.62/0.81 generalize (zenon_H1b (a200)). zenon_intro zenon_H20d. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H20d); [ zenon_intro zenon_H9 | zenon_intro zenon_H20e ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H16b | zenon_intro zenon_H20f ]. % 0.62/0.81 exact (zenon_H16b zenon_H164). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H210 | zenon_intro zenon_H16a ]. % 0.62/0.81 exact (zenon_H210 zenon_H20c). % 0.62/0.81 exact (zenon_H16a zenon_H165). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H16b | zenon_intro zenon_H16a ]. % 0.62/0.81 exact (zenon_H16b zenon_H164). % 0.62/0.81 exact (zenon_H16a zenon_H165). % 0.62/0.81 (* end of lemma zenon_L146_ *) % 0.62/0.81 assert (zenon_L147_ : ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (c3_1 (a200)) -> (c0_1 (a200)) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (~(hskp23)) -> (~(hskp5)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H2f zenon_H165 zenon_H164 zenon_Ha zenon_H1ae zenon_H2b zenon_H2d. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H1b | zenon_intro zenon_H30 ]. % 0.62/0.81 apply (zenon_L146_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H2c | zenon_intro zenon_H2e ]. % 0.62/0.81 exact (zenon_H2b zenon_H2c). % 0.62/0.81 exact (zenon_H2d zenon_H2e). % 0.62/0.81 (* end of lemma zenon_L147_ *) % 0.62/0.81 assert (zenon_L148_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c2_1 (a221))) -> (~(c1_1 (a221))) -> (~(c0_1 (a221))) -> (~(hskp5)) -> (~(hskp23)) -> (ndr1_0) -> (c0_1 (a200)) -> (c3_1 (a200)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(hskp0)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1b6 zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_H2d zenon_H2b zenon_Ha zenon_H164 zenon_H165 zenon_H2f zenon_H9b. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b7 ]. % 0.62/0.81 apply (zenon_L102_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1ae | zenon_intro zenon_H9c ]. % 0.62/0.81 apply (zenon_L147_); trivial. % 0.62/0.81 exact (zenon_H9b zenon_H9c). % 0.62/0.81 (* end of lemma zenon_L148_ *) % 0.62/0.81 assert (zenon_L149_ : (forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79)))))) -> (ndr1_0) -> (~(c3_1 (a222))) -> (c1_1 (a222)) -> (c2_1 (a222)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H211 zenon_Ha zenon_H124 zenon_H126 zenon_H127. % 0.62/0.81 generalize (zenon_H211 (a222)). zenon_intro zenon_H212. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H212); [ zenon_intro zenon_H9 | zenon_intro zenon_H213 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H12b | zenon_intro zenon_H1ba ]. % 0.62/0.81 exact (zenon_H124 zenon_H12b). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H132 | zenon_intro zenon_H12c ]. % 0.62/0.81 exact (zenon_H132 zenon_H126). % 0.62/0.81 exact (zenon_H12c zenon_H127). % 0.62/0.81 (* end of lemma zenon_L149_ *) % 0.62/0.81 assert (zenon_L150_ : ((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> (c2_1 (a222)) -> (c1_1 (a222)) -> (~(c3_1 (a222))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H43 zenon_H214 zenon_H82 zenon_H81 zenon_H80 zenon_H127 zenon_H126 zenon_H124. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H7f | zenon_intro zenon_H215 ]. % 0.62/0.81 apply (zenon_L30_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H211 | zenon_intro zenon_H35 ]. % 0.62/0.81 apply (zenon_L149_); trivial. % 0.62/0.81 apply (zenon_L16_); trivial. % 0.62/0.81 (* end of lemma zenon_L150_ *) % 0.62/0.81 assert (zenon_L151_ : ((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> (~(c0_1 (a221))) -> (~(c1_1 (a221))) -> (~(c2_1 (a221))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a200)) -> (c0_1 (a200)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H145 zenon_H48 zenon_H214 zenon_H82 zenon_H81 zenon_H80 zenon_Hd2 zenon_Hd3 zenon_Hd4 zenon_H2f zenon_H2d zenon_H165 zenon_H164 zenon_H9b zenon_H1b6. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_Ha. zenon_intro zenon_H147. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H126. zenon_intro zenon_H148. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H127. zenon_intro zenon_H124. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.81 apply (zenon_L148_); trivial. % 0.62/0.81 apply (zenon_L150_); trivial. % 0.62/0.81 (* end of lemma zenon_L151_ *) % 0.62/0.81 assert (zenon_L152_ : ((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> (~(hskp2)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> False). % 0.62/0.81 do 0 intro. intros zenon_Hf5 zenon_Hb0 zenon_H3f zenon_H136 zenon_H133 zenon_H106 zenon_H104 zenon_H105 zenon_H1ea zenon_H1eb zenon_H1ec zenon_H41 zenon_H195. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.81 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H92 | zenon_intro zenon_H40 ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H1c | zenon_intro zenon_H196 ]. % 0.62/0.81 apply (zenon_L82_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18d | zenon_intro zenon_H42 ]. % 0.62/0.81 apply (zenon_L125_); trivial. % 0.62/0.81 exact (zenon_H41 zenon_H42). % 0.62/0.81 exact (zenon_H3f zenon_H40). % 0.62/0.81 (* end of lemma zenon_L152_ *) % 0.62/0.81 assert (zenon_L153_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp15)) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H146 zenon_Hce zenon_H3 zenon_H2d zenon_H195 zenon_H41 zenon_H1ec zenon_H1eb zenon_H1ea zenon_H105 zenon_H104 zenon_H106 zenon_H136 zenon_H3f zenon_Hb0 zenon_Hf9. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.81 apply (zenon_L48_); trivial. % 0.62/0.81 apply (zenon_L152_); trivial. % 0.62/0.81 apply (zenon_L130_); trivial. % 0.62/0.81 (* end of lemma zenon_L153_ *) % 0.62/0.81 assert (zenon_L154_ : (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (c1_1 (a215)) -> (c2_1 (a215)) -> (c3_1 (a215)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1b zenon_Ha zenon_H91 zenon_H61 zenon_H5f zenon_H60. % 0.62/0.81 generalize (zenon_H1b (a215)). zenon_intro zenon_H1d1. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H1d1); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d2 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H65 | zenon_intro zenon_H68 ]. % 0.62/0.81 generalize (zenon_H91 (a215)). zenon_intro zenon_H216. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H216); [ zenon_intro zenon_H9 | zenon_intro zenon_H217 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H69 | zenon_intro zenon_H218 ]. % 0.62/0.81 exact (zenon_H65 zenon_H69). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 0.62/0.81 exact (zenon_H6c zenon_H61). % 0.62/0.81 exact (zenon_H6b zenon_H5f). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H6b | zenon_intro zenon_H6a ]. % 0.62/0.81 exact (zenon_H6b zenon_H5f). % 0.62/0.81 exact (zenon_H6a zenon_H60). % 0.62/0.81 (* end of lemma zenon_L154_ *) % 0.62/0.81 assert (zenon_L155_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (c3_1 (a189)) -> (c1_1 (a189)) -> (c0_1 (a189)) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (c1_1 (a215)) -> (c2_1 (a215)) -> (c3_1 (a215)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1a6 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H38 zenon_H37 zenon_H36 zenon_Ha zenon_H91 zenon_H61 zenon_H5f zenon_H60. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.81 apply (zenon_L44_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.81 apply (zenon_L16_); trivial. % 0.62/0.81 apply (zenon_L154_); trivial. % 0.62/0.81 (* end of lemma zenon_L155_ *) % 0.62/0.81 assert (zenon_L156_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c0_1 (a189)) -> (c1_1 (a189)) -> (c3_1 (a189)) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a223))) -> (~(c2_1 (a223))) -> (c3_1 (a223)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H6f zenon_H117 zenon_H106 zenon_H105 zenon_H104 zenon_H36 zenon_H37 zenon_H38 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1a6 zenon_H10e zenon_H10f zenon_H110. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H103 | zenon_intro zenon_H118 ]. % 0.62/0.81 apply (zenon_L59_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H91 | zenon_intro zenon_H10d ]. % 0.62/0.81 apply (zenon_L155_); trivial. % 0.62/0.81 apply (zenon_L60_); trivial. % 0.62/0.81 (* end of lemma zenon_L156_ *) % 0.62/0.81 assert (zenon_L157_ : ((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (c2_1 (a199)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (~(c1_1 (a223))) -> (~(c2_1 (a223))) -> (c3_1 (a223)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H43 zenon_H74 zenon_H104 zenon_H105 zenon_H106 zenon_H1a6 zenon_Hc zenon_He zenon_Hd zenon_H1cf zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H10e zenon_H10f zenon_H110 zenon_H117. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H103 | zenon_intro zenon_H118 ]. % 0.62/0.81 apply (zenon_L59_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H91 | zenon_intro zenon_H10d ]. % 0.62/0.81 apply (zenon_L113_); trivial. % 0.62/0.81 apply (zenon_L60_); trivial. % 0.62/0.81 apply (zenon_L156_); trivial. % 0.62/0.81 (* end of lemma zenon_L157_ *) % 0.62/0.81 assert (zenon_L158_ : ((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (c2_1 (a199)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp16)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H119 zenon_H48 zenon_H74 zenon_H104 zenon_H105 zenon_H106 zenon_H1a6 zenon_Hc zenon_He zenon_Hd zenon_H1cf zenon_H117 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hca zenon_Hcc. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11a. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H110. zenon_intro zenon_H11b. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.81 apply (zenon_L46_); trivial. % 0.62/0.81 apply (zenon_L157_); trivial. % 0.62/0.81 (* end of lemma zenon_L158_ *) % 0.62/0.81 assert (zenon_L159_ : ((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> (~(hskp2)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H145 zenon_H146 zenon_H135 zenon_H2d zenon_He zenon_Hd zenon_Hc zenon_H105 zenon_H104 zenon_H106 zenon_H136 zenon_H1ea zenon_H1eb zenon_H1ec zenon_H41 zenon_H195. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_Ha. zenon_intro zenon_H147. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H126. zenon_intro zenon_H148. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H127. zenon_intro zenon_H124. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H1c | zenon_intro zenon_H196 ]. % 0.62/0.81 apply (zenon_L66_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18d | zenon_intro zenon_H42 ]. % 0.62/0.81 apply (zenon_L125_); trivial. % 0.62/0.81 exact (zenon_H41 zenon_H42). % 0.62/0.81 apply (zenon_L130_); trivial. % 0.62/0.81 (* end of lemma zenon_L159_ *) % 0.62/0.81 assert (zenon_L160_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> (c2_1 (a222)) -> (c1_1 (a222)) -> (~(c3_1 (a222))) -> (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H135 zenon_H127 zenon_H126 zenon_H124 zenon_Hea zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H2d. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H125 | zenon_intro zenon_H137 ]. % 0.62/0.81 apply (zenon_L64_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb | zenon_intro zenon_H2e ]. % 0.62/0.81 apply (zenon_L6_); trivial. % 0.62/0.81 exact (zenon_H2d zenon_H2e). % 0.62/0.81 (* end of lemma zenon_L160_ *) % 0.62/0.81 assert (zenon_L161_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c2_1 (a221))) -> (~(c1_1 (a221))) -> (~(c0_1 (a221))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9)))))) -> (~(c1_1 (a199))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> (c2_1 (a222)) -> (c1_1 (a222)) -> (~(c3_1 (a222))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.62/0.81 do 0 intro. intros zenon_Hf3 zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_H92 zenon_H106 zenon_H104 zenon_H1c zenon_H105 zenon_H135 zenon_H127 zenon_H126 zenon_H124 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H2d. % 0.62/0.81 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.81 apply (zenon_L49_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.81 apply (zenon_L63_); trivial. % 0.62/0.81 apply (zenon_L160_); trivial. % 0.62/0.81 (* end of lemma zenon_L161_ *) % 0.62/0.81 assert (zenon_L162_ : ((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (~(c2_1 (a221))) -> (~(c1_1 (a221))) -> (~(c0_1 (a221))) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> (~(hskp2)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H145 zenon_Hb0 zenon_H3f zenon_Hf3 zenon_Hc zenon_Hd zenon_He zenon_H2d zenon_H135 zenon_H106 zenon_H104 zenon_H105 zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_H1ea zenon_H1eb zenon_H1ec zenon_H41 zenon_H195. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_Ha. zenon_intro zenon_H147. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H126. zenon_intro zenon_H148. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H127. zenon_intro zenon_H124. % 0.62/0.81 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H92 | zenon_intro zenon_H40 ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H1c | zenon_intro zenon_H196 ]. % 0.62/0.81 apply (zenon_L161_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18d | zenon_intro zenon_H42 ]. % 0.62/0.81 apply (zenon_L125_); trivial. % 0.62/0.81 exact (zenon_H41 zenon_H42). % 0.62/0.81 exact (zenon_H3f zenon_H40). % 0.62/0.81 (* end of lemma zenon_L162_ *) % 0.62/0.81 assert (zenon_L163_ : ((ndr1_0)/\((c3_1 (a259))/\((~(c0_1 (a259)))/\(~(c2_1 (a259)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (~(hskp13)) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp13))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H8b zenon_H156 zenon_H106 zenon_H105 zenon_H104 zenon_H1be zenon_H1ea zenon_H1eb zenon_H1ec zenon_H1c0 zenon_H14d zenon_H14e zenon_H14f. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8d. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H78. zenon_intro zenon_H8e. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H76. zenon_intro zenon_H77. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.81 apply (zenon_L59_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H10d | zenon_intro zenon_H1c1 ]. % 0.62/0.81 apply (zenon_L95_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H18d | zenon_intro zenon_H1bf ]. % 0.62/0.81 apply (zenon_L125_); trivial. % 0.62/0.81 exact (zenon_H1be zenon_H1bf). % 0.62/0.81 apply (zenon_L73_); trivial. % 0.62/0.81 (* end of lemma zenon_L163_ *) % 0.62/0.81 assert (zenon_L164_ : ((ndr1_0)/\((c0_1 (a194))/\((~(c1_1 (a194)))/\(~(c2_1 (a194)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (~(hskp1)) -> ((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/((hskp1)\/(hskp2))) -> ((hskp24)\/((hskp22)\/(hskp2))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp13))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a259))/\((~(c0_1 (a259)))/\(~(c2_1 (a259))))))) -> ((hskp23)\/((hskp9)\/(hskp2))) -> (~(hskp2)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H219 zenon_H1e2 zenon_H1e4 zenon_H74 zenon_H156 zenon_H3f zenon_H44 zenon_H5a zenon_H1c0 zenon_H1ec zenon_H1eb zenon_H1ea zenon_H90 zenon_Hbe zenon_H41 zenon_H19d zenon_H48. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H14f. zenon_intro zenon_H21b. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.81 apply (zenon_L94_); trivial. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H5b | zenon_intro zenon_H8b ]. % 0.62/0.81 apply (zenon_L75_); trivial. % 0.62/0.81 apply (zenon_L163_); trivial. % 0.62/0.81 apply (zenon_L120_); trivial. % 0.62/0.81 (* end of lemma zenon_L164_ *) % 0.62/0.81 assert (zenon_L165_ : (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (ndr1_0) -> (forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63)))))) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H51 zenon_Ha zenon_Hc0 zenon_H21c zenon_H21d zenon_H21e. % 0.62/0.81 generalize (zenon_H51 (a191)). zenon_intro zenon_H21f. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H21f); [ zenon_intro zenon_H9 | zenon_intro zenon_H220 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H222 | zenon_intro zenon_H221 ]. % 0.62/0.81 generalize (zenon_Hc0 (a191)). zenon_intro zenon_H223. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H223); [ zenon_intro zenon_H9 | zenon_intro zenon_H224 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H226 | zenon_intro zenon_H225 ]. % 0.62/0.81 exact (zenon_H21c zenon_H226). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H228 | zenon_intro zenon_H227 ]. % 0.62/0.81 exact (zenon_H21d zenon_H228). % 0.62/0.81 exact (zenon_H227 zenon_H222). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H229 | zenon_intro zenon_H228 ]. % 0.62/0.81 exact (zenon_H21e zenon_H229). % 0.62/0.81 exact (zenon_H21d zenon_H228). % 0.62/0.81 (* end of lemma zenon_L165_ *) % 0.62/0.81 assert (zenon_L166_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (~(hskp17)) -> (~(hskp18)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H101 zenon_H21e zenon_H21d zenon_H21c zenon_Ha zenon_H51 zenon_Hfd zenon_Hff. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H102 ]. % 0.62/0.81 apply (zenon_L165_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfe | zenon_intro zenon_H100 ]. % 0.62/0.81 exact (zenon_Hfd zenon_Hfe). % 0.62/0.81 exact (zenon_Hff zenon_H100). % 0.62/0.81 (* end of lemma zenon_L166_ *) % 0.62/0.81 assert (zenon_L167_ : (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24)))))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H92 zenon_Ha zenon_H7f zenon_H21e zenon_H21d zenon_H21c. % 0.62/0.81 generalize (zenon_H92 (a191)). zenon_intro zenon_H22a. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H22a); [ zenon_intro zenon_H9 | zenon_intro zenon_H22b ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H222 | zenon_intro zenon_H22c ]. % 0.62/0.81 generalize (zenon_H7f (a191)). zenon_intro zenon_H22d. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H22d); [ zenon_intro zenon_H9 | zenon_intro zenon_H22e ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H229 | zenon_intro zenon_H225 ]. % 0.62/0.81 exact (zenon_H21e zenon_H229). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H228 | zenon_intro zenon_H227 ]. % 0.62/0.81 exact (zenon_H21d zenon_H228). % 0.62/0.81 exact (zenon_H227 zenon_H222). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H226 | zenon_intro zenon_H228 ]. % 0.62/0.81 exact (zenon_H21c zenon_H226). % 0.62/0.81 exact (zenon_H21d zenon_H228). % 0.62/0.81 (* end of lemma zenon_L167_ *) % 0.62/0.81 assert (zenon_L168_ : ((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H119 zenon_Hb0 zenon_H21e zenon_H21d zenon_H21c zenon_H3f zenon_H22f. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11a. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H110. zenon_intro zenon_H11b. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.62/0.81 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H92 | zenon_intro zenon_H40 ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H10d | zenon_intro zenon_H230 ]. % 0.62/0.81 apply (zenon_L60_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H7f | zenon_intro zenon_H40 ]. % 0.62/0.81 apply (zenon_L167_); trivial. % 0.62/0.81 exact (zenon_H3f zenon_H40). % 0.62/0.81 exact (zenon_H3f zenon_H40). % 0.62/0.81 (* end of lemma zenon_L168_ *) % 0.62/0.81 assert (zenon_L169_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (ndr1_0) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1c3 zenon_Hb0 zenon_H3f zenon_H22f zenon_H101 zenon_Hfd zenon_H21e zenon_H21d zenon_H21c zenon_Ha zenon_H4b zenon_H4d. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hff | zenon_intro zenon_H119 ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H51 | zenon_intro zenon_H4c ]. % 0.62/0.81 apply (zenon_L166_); trivial. % 0.62/0.81 exact (zenon_H4b zenon_H4c). % 0.62/0.81 apply (zenon_L168_); trivial. % 0.62/0.81 (* end of lemma zenon_L169_ *) % 0.62/0.81 assert (zenon_L170_ : (forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))) -> (ndr1_0) -> (~(c3_1 (a222))) -> (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26)))))) -> (c2_1 (a222)) -> (c1_1 (a222)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H18d zenon_Ha zenon_H124 zenon_Hb zenon_H127 zenon_H126. % 0.62/0.81 generalize (zenon_H18d (a222)). zenon_intro zenon_H1bb. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H1bb); [ zenon_intro zenon_H9 | zenon_intro zenon_H1bc ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H12b | zenon_intro zenon_H1bd ]. % 0.62/0.81 exact (zenon_H124 zenon_H12b). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H12d | zenon_intro zenon_H132 ]. % 0.62/0.81 generalize (zenon_Hb (a222)). zenon_intro zenon_H231. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H231); [ zenon_intro zenon_H9 | zenon_intro zenon_H232 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H131 | zenon_intro zenon_H233 ]. % 0.62/0.81 exact (zenon_H12d zenon_H131). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H12b | zenon_intro zenon_H12c ]. % 0.62/0.81 exact (zenon_H124 zenon_H12b). % 0.62/0.81 exact (zenon_H12c zenon_H127). % 0.62/0.81 exact (zenon_H132 zenon_H126). % 0.62/0.81 (* end of lemma zenon_L170_ *) % 0.62/0.81 assert (zenon_L171_ : (~(hskp7)) -> (hskp7) -> False). % 0.62/0.81 do 0 intro. intros zenon_H234 zenon_H235. % 0.62/0.81 exact (zenon_H234 zenon_H235). % 0.62/0.81 (* end of lemma zenon_L171_ *) % 0.62/0.81 assert (zenon_L172_ : ((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> (~(hskp7)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/((hskp7)\/(hskp9))) -> (~(hskp11)) -> (~(hskp9)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H145 zenon_H19 zenon_H234 zenon_H236 zenon_H15 zenon_H17. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_Ha. zenon_intro zenon_H147. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H126. zenon_intro zenon_H148. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H127. zenon_intro zenon_H124. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H18d | zenon_intro zenon_H237 ]. % 0.62/0.81 apply (zenon_L170_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H235 | zenon_intro zenon_H18 ]. % 0.62/0.81 exact (zenon_H234 zenon_H235). % 0.62/0.81 exact (zenon_H17 zenon_H18). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H16 | zenon_intro zenon_H18 ]. % 0.62/0.81 exact (zenon_H15 zenon_H16). % 0.62/0.81 exact (zenon_H17 zenon_H18). % 0.62/0.81 (* end of lemma zenon_L172_ *) % 0.62/0.81 assert (zenon_L173_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> (ndr1_0) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(hskp23)) -> (~(hskp16)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H4d zenon_H4b zenon_Ha zenon_H21c zenon_H21d zenon_H21e zenon_H2b zenon_Hca zenon_Hcc. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H51 | zenon_intro zenon_H4c ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hcd ]. % 0.62/0.81 apply (zenon_L165_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_H2c | zenon_intro zenon_Hcb ]. % 0.62/0.81 exact (zenon_H2b zenon_H2c). % 0.62/0.81 exact (zenon_Hca zenon_Hcb). % 0.62/0.81 exact (zenon_H4b zenon_H4c). % 0.62/0.81 (* end of lemma zenon_L173_ *) % 0.62/0.81 assert (zenon_L174_ : ((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H145 zenon_H48 zenon_H214 zenon_H82 zenon_H81 zenon_H80 zenon_Hcc zenon_Hca zenon_H21e zenon_H21d zenon_H21c zenon_H4b zenon_H4d. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_Ha. zenon_intro zenon_H147. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H126. zenon_intro zenon_H148. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H127. zenon_intro zenon_H124. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.81 apply (zenon_L173_); trivial. % 0.62/0.81 apply (zenon_L150_); trivial. % 0.62/0.81 (* end of lemma zenon_L174_ *) % 0.62/0.81 assert (zenon_L175_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> (ndr1_0) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1c2 zenon_H48 zenon_H214 zenon_H82 zenon_H81 zenon_H80 zenon_Hcc zenon_Hca zenon_H4d zenon_H4b zenon_Ha zenon_H21c zenon_H21d zenon_H21e zenon_H101 zenon_H22f zenon_H3f zenon_Hb0 zenon_H1c3. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.62/0.81 apply (zenon_L169_); trivial. % 0.62/0.81 apply (zenon_L174_); trivial. % 0.62/0.81 (* end of lemma zenon_L175_ *) % 0.62/0.81 assert (zenon_L176_ : (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))) -> (ndr1_0) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H238 zenon_Ha zenon_H21c zenon_H21e zenon_H21d. % 0.62/0.81 generalize (zenon_H238 (a191)). zenon_intro zenon_H239. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H239); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H226 | zenon_intro zenon_H221 ]. % 0.62/0.81 exact (zenon_H21c zenon_H226). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H229 | zenon_intro zenon_H228 ]. % 0.62/0.81 exact (zenon_H21e zenon_H229). % 0.62/0.81 exact (zenon_H21d zenon_H228). % 0.62/0.81 (* end of lemma zenon_L176_ *) % 0.62/0.81 assert (zenon_L177_ : ((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> False). % 0.62/0.81 do 0 intro. intros zenon_Hf8 zenon_H23b zenon_H3f zenon_Hb0 zenon_H21c zenon_H21e zenon_H21d. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Ha. zenon_intro zenon_Hfa. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hd2. zenon_intro zenon_Hfb. % 0.62/0.81 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1aa | zenon_intro zenon_H23c ]. % 0.62/0.81 apply (zenon_L102_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H75 | zenon_intro zenon_H238 ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H92 | zenon_intro zenon_H40 ]. % 0.62/0.81 apply (zenon_L49_); trivial. % 0.62/0.81 exact (zenon_H3f zenon_H40). % 0.62/0.81 apply (zenon_L176_); trivial. % 0.62/0.81 (* end of lemma zenon_L177_ *) % 0.62/0.81 assert (zenon_L178_ : ((ndr1_0)/\((c0_1 (a202))/\((~(c2_1 (a202)))/\(~(c3_1 (a202)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H204 zenon_Hfc zenon_H23b zenon_H1c3 zenon_Hb0 zenon_H3f zenon_H22f zenon_H101 zenon_H21e zenon_H21d zenon_H21c zenon_H4b zenon_H4d zenon_Hcc zenon_H214 zenon_H48 zenon_H1c2. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H205. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H82. zenon_intro zenon_H206. % 0.62/0.81 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H80. zenon_intro zenon_H81. % 0.62/0.81 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.81 apply (zenon_L175_); trivial. % 0.62/0.81 apply (zenon_L177_); trivial. % 0.62/0.81 (* end of lemma zenon_L178_ *) % 0.62/0.81 assert (zenon_L179_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a202))/\((~(c2_1 (a202)))/\(~(c3_1 (a202))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (ndr1_0) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/((hskp7)\/(hskp9))) -> (~(hskp9)) -> (~(hskp7)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H23d zenon_Hfc zenon_H23b zenon_Hcc zenon_H214 zenon_H48 zenon_H1c3 zenon_Hb0 zenon_H3f zenon_H22f zenon_H101 zenon_H21e zenon_H21d zenon_H21c zenon_Ha zenon_H4b zenon_H4d zenon_H236 zenon_H17 zenon_H234 zenon_H19 zenon_H1c2. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H15 | zenon_intro zenon_H204 ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.62/0.81 apply (zenon_L169_); trivial. % 0.62/0.81 apply (zenon_L172_); trivial. % 0.62/0.81 apply (zenon_L178_); trivial. % 0.62/0.81 (* end of lemma zenon_L179_ *) % 0.62/0.81 assert (zenon_L180_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1c3 zenon_Hb0 zenon_H3f zenon_H22f zenon_H101 zenon_Hfd zenon_H21e zenon_H21d zenon_H21c zenon_Ha zenon_H2d zenon_H4b zenon_H23e. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hff | zenon_intro zenon_H119 ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H51 | zenon_intro zenon_H23f ]. % 0.62/0.81 apply (zenon_L166_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H2e | zenon_intro zenon_H4c ]. % 0.62/0.81 exact (zenon_H2d zenon_H2e). % 0.62/0.81 exact (zenon_H4b zenon_H4c). % 0.62/0.81 apply (zenon_L168_); trivial. % 0.62/0.81 (* end of lemma zenon_L180_ *) % 0.62/0.81 assert (zenon_L181_ : (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21)))))) -> (ndr1_0) -> (~(c1_1 (a199))) -> (forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41)))))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> False). % 0.62/0.81 do 0 intro. intros zenon_He0 zenon_Ha zenon_H105 zenon_H5e zenon_H104 zenon_H106. % 0.62/0.81 generalize (zenon_He0 (a199)). zenon_intro zenon_H11c. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H11c); [ zenon_intro zenon_H9 | zenon_intro zenon_H11d ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H10c | zenon_intro zenon_H11e ]. % 0.62/0.81 exact (zenon_H105 zenon_H10c). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H11f | zenon_intro zenon_H10b ]. % 0.62/0.81 generalize (zenon_H5e (a199)). zenon_intro zenon_H240. % 0.62/0.81 apply (zenon_imply_s _ _ zenon_H240); [ zenon_intro zenon_H9 | zenon_intro zenon_H241 ]. % 0.62/0.81 exact (zenon_H9 zenon_Ha). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H10a | zenon_intro zenon_H242 ]. % 0.62/0.81 exact (zenon_H104 zenon_H10a). % 0.62/0.81 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H10b | zenon_intro zenon_H123 ]. % 0.62/0.81 exact (zenon_H10b zenon_H106). % 0.62/0.81 exact (zenon_H123 zenon_H11f). % 0.62/0.81 exact (zenon_H10b zenon_H106). % 0.62/0.81 (* end of lemma zenon_L181_ *) % 0.62/0.81 assert (zenon_L182_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21)))))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H243 zenon_H106 zenon_H104 zenon_H105 zenon_He0 zenon_H21d zenon_H21e zenon_H21c zenon_Ha zenon_H1be. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H5e | zenon_intro zenon_H244 ]. % 0.62/0.81 apply (zenon_L181_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H238 | zenon_intro zenon_H1bf ]. % 0.62/0.81 apply (zenon_L176_); trivial. % 0.62/0.81 exact (zenon_H1be zenon_H1bf). % 0.62/0.81 (* end of lemma zenon_L182_ *) % 0.62/0.81 assert (zenon_L183_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (~(hskp13)) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (c3_1 (a189)) -> (c1_1 (a189)) -> (c0_1 (a189)) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))) -> (~(hskp24)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1cf zenon_H1be zenon_H21c zenon_H21e zenon_H21d zenon_H105 zenon_H104 zenon_H106 zenon_H243 zenon_H38 zenon_H37 zenon_H36 zenon_Ha zenon_H1b zenon_H58. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_He0 | zenon_intro zenon_H1d0 ]. % 0.62/0.81 apply (zenon_L182_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H59 ]. % 0.62/0.81 apply (zenon_L112_); trivial. % 0.62/0.81 exact (zenon_H58 zenon_H59). % 0.62/0.81 (* end of lemma zenon_L183_ *) % 0.62/0.81 assert (zenon_L184_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> (ndr1_0) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (c0_1 (a189)) -> (c1_1 (a189)) -> (c3_1 (a189)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (~(hskp24)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> (~(hskp13)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> False). % 0.62/0.81 do 0 intro. intros zenon_H4d zenon_H4b zenon_Ha zenon_H21c zenon_H21d zenon_H21e zenon_H36 zenon_H37 zenon_H38 zenon_H1cf zenon_H58 zenon_H105 zenon_H104 zenon_H106 zenon_H1be zenon_H243 zenon_H1a6. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H51 | zenon_intro zenon_H4c ]. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.81 apply (zenon_L165_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.81 apply (zenon_L16_); trivial. % 0.62/0.81 apply (zenon_L183_); trivial. % 0.62/0.81 exact (zenon_H4b zenon_H4c). % 0.62/0.81 (* end of lemma zenon_L184_ *) % 0.62/0.81 assert (zenon_L185_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (c3_1 (a189)) -> (c1_1 (a189)) -> (c0_1 (a189)) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (c1_1 (a215)) -> (c2_1 (a215)) -> (c3_1 (a215)) -> False). % 0.62/0.81 do 0 intro. intros zenon_H1a6 zenon_H21e zenon_H21d zenon_H21c zenon_H51 zenon_H38 zenon_H37 zenon_H36 zenon_Ha zenon_H91 zenon_H61 zenon_H5f zenon_H60. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.81 apply (zenon_L165_); trivial. % 0.62/0.81 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.82 apply (zenon_L16_); trivial. % 0.62/0.82 apply (zenon_L154_); trivial. % 0.62/0.82 (* end of lemma zenon_L185_ *) % 0.62/0.82 assert (zenon_L186_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> (c3_1 (a215)) -> (c2_1 (a215)) -> (c1_1 (a215)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (c0_1 (a189)) -> (c1_1 (a189)) -> (c3_1 (a189)) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H23e zenon_H60 zenon_H5f zenon_H61 zenon_H91 zenon_Ha zenon_H36 zenon_H37 zenon_H38 zenon_H21c zenon_H21d zenon_H21e zenon_H1a6 zenon_H2d zenon_H4b. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H51 | zenon_intro zenon_H23f ]. % 0.62/0.82 apply (zenon_L185_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H2e | zenon_intro zenon_H4c ]. % 0.62/0.82 exact (zenon_H2d zenon_H2e). % 0.62/0.82 exact (zenon_H4b zenon_H4c). % 0.62/0.82 (* end of lemma zenon_L186_ *) % 0.62/0.82 assert (zenon_L187_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> (ndr1_0) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1c2 zenon_H48 zenon_H74 zenon_H1f3 zenon_H5 zenon_H245 zenon_H89 zenon_H193 zenon_H1a6 zenon_H243 zenon_H1be zenon_H106 zenon_H104 zenon_H105 zenon_H1cf zenon_Hcc zenon_Hca zenon_H4d zenon_H23e zenon_H4b zenon_H2d zenon_Ha zenon_H21c zenon_H21d zenon_H21e zenon_H101 zenon_H22f zenon_H3f zenon_Hb0 zenon_H1c3. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.62/0.82 apply (zenon_L180_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_Ha. zenon_intro zenon_H147. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H126. zenon_intro zenon_H148. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H127. zenon_intro zenon_H124. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.82 apply (zenon_L173_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.82 apply (zenon_L184_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H91 | zenon_intro zenon_H1f4 ]. % 0.62/0.82 apply (zenon_L186_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H18d | zenon_intro zenon_H6 ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H91 | zenon_intro zenon_H194 ]. % 0.62/0.82 apply (zenon_L106_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H1b | zenon_intro zenon_H4c ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H149 | zenon_intro zenon_H246 ]. % 0.62/0.82 apply (zenon_L114_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H238 | zenon_intro zenon_H8a ]. % 0.62/0.82 apply (zenon_L176_); trivial. % 0.62/0.82 exact (zenon_H89 zenon_H8a). % 0.62/0.82 exact (zenon_H4b zenon_H4c). % 0.62/0.82 exact (zenon_H5 zenon_H6). % 0.62/0.82 (* end of lemma zenon_L187_ *) % 0.62/0.82 assert (zenon_L188_ : ((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (~(hskp10)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1de zenon_H245 zenon_H21d zenon_H21e zenon_H21c zenon_H89. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_Ha. zenon_intro zenon_H1df. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d6. zenon_intro zenon_H1e0. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d5. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H149 | zenon_intro zenon_H246 ]. % 0.62/0.82 apply (zenon_L119_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H238 | zenon_intro zenon_H8a ]. % 0.62/0.82 apply (zenon_L176_); trivial. % 0.62/0.82 exact (zenon_H89 zenon_H8a). % 0.62/0.82 (* end of lemma zenon_L188_ *) % 0.62/0.82 assert (zenon_L189_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_Hae zenon_Hfc zenon_H23b zenon_H1c3 zenon_Hb0 zenon_H3f zenon_H22f zenon_H101 zenon_H21e zenon_H21d zenon_H21c zenon_Ha zenon_H2d zenon_H4b zenon_H23e zenon_H4d zenon_Hcc zenon_H1cf zenon_H105 zenon_H104 zenon_H106 zenon_H243 zenon_H1a6 zenon_H193 zenon_H89 zenon_H245 zenon_H1f3 zenon_H74 zenon_H48 zenon_H1c2 zenon_H1e4. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.82 apply (zenon_L187_); trivial. % 0.62/0.82 apply (zenon_L177_); trivial. % 0.62/0.82 apply (zenon_L188_); trivial. % 0.62/0.82 apply (zenon_L39_); trivial. % 0.62/0.82 (* end of lemma zenon_L189_ *) % 0.62/0.82 assert (zenon_L190_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (c3_1 (a215)) -> (c2_1 (a215)) -> (c1_1 (a215)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H243 zenon_H60 zenon_H5f zenon_H61 zenon_H91 zenon_H51 zenon_H1a6 zenon_H21d zenon_H21e zenon_H21c zenon_Ha zenon_H1be. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H5e | zenon_intro zenon_H244 ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.82 apply (zenon_L165_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.82 apply (zenon_L25_); trivial. % 0.62/0.82 apply (zenon_L154_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H238 | zenon_intro zenon_H1bf ]. % 0.62/0.82 apply (zenon_L176_); trivial. % 0.62/0.82 exact (zenon_H1be zenon_H1bf). % 0.62/0.82 (* end of lemma zenon_L190_ *) % 0.62/0.82 assert (zenon_L191_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(hskp13)) -> (ndr1_0) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (c2_1 (a215)) -> (c3_1 (a215)) -> (c1_1 (a215)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> (~(hskp6)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c2_1 (a222)) -> (c1_1 (a222)) -> (~(c3_1 (a222))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H4d zenon_H243 zenon_H1be zenon_Ha zenon_H21c zenon_H21d zenon_H21e zenon_H5f zenon_H60 zenon_H61 zenon_H1a6 zenon_H193 zenon_H4b zenon_H149 zenon_H127 zenon_H126 zenon_H124 zenon_H5 zenon_H1f3. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H51 | zenon_intro zenon_H4c ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H91 | zenon_intro zenon_H1f4 ]. % 0.62/0.82 apply (zenon_L190_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H18d | zenon_intro zenon_H6 ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H91 | zenon_intro zenon_H194 ]. % 0.62/0.82 apply (zenon_L106_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H1b | zenon_intro zenon_H4c ]. % 0.62/0.82 apply (zenon_L114_); trivial. % 0.62/0.82 exact (zenon_H4b zenon_H4c). % 0.62/0.82 exact (zenon_H5 zenon_H6). % 0.62/0.82 exact (zenon_H4b zenon_H4c). % 0.62/0.82 (* end of lemma zenon_L191_ *) % 0.62/0.82 assert (zenon_L192_ : (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))) -> (ndr1_0) -> (c0_1 (a200)) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (~(c1_1 (a200))) -> (c3_1 (a200)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1b zenon_Ha zenon_H164 zenon_H14c zenon_H163 zenon_H165. % 0.62/0.82 generalize (zenon_H1b (a200)). zenon_intro zenon_H20d. % 0.62/0.82 apply (zenon_imply_s _ _ zenon_H20d); [ zenon_intro zenon_H9 | zenon_intro zenon_H20e ]. % 0.62/0.82 exact (zenon_H9 zenon_Ha). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H16b | zenon_intro zenon_H20f ]. % 0.62/0.82 exact (zenon_H16b zenon_H164). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H210 | zenon_intro zenon_H16a ]. % 0.62/0.82 generalize (zenon_H14c (a200)). zenon_intro zenon_H247. % 0.62/0.82 apply (zenon_imply_s _ _ zenon_H247); [ zenon_intro zenon_H9 | zenon_intro zenon_H248 ]. % 0.62/0.82 exact (zenon_H9 zenon_Ha). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H169 | zenon_intro zenon_H249 ]. % 0.62/0.82 exact (zenon_H163 zenon_H169). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H20c | zenon_intro zenon_H16b ]. % 0.62/0.82 exact (zenon_H210 zenon_H20c). % 0.62/0.82 exact (zenon_H16b zenon_H164). % 0.62/0.82 exact (zenon_H16a zenon_H165). % 0.62/0.82 (* end of lemma zenon_L192_ *) % 0.62/0.82 assert (zenon_L193_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (c3_1 (a189)) -> (c1_1 (a189)) -> (c0_1 (a189)) -> (ndr1_0) -> (c0_1 (a200)) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (~(c1_1 (a200))) -> (c3_1 (a200)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1a6 zenon_H21e zenon_H21d zenon_H21c zenon_H51 zenon_H38 zenon_H37 zenon_H36 zenon_Ha zenon_H164 zenon_H14c zenon_H163 zenon_H165. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.82 apply (zenon_L165_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.82 apply (zenon_L16_); trivial. % 0.62/0.82 apply (zenon_L192_); trivial. % 0.62/0.82 (* end of lemma zenon_L193_ *) % 0.62/0.82 assert (zenon_L194_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (c0_1 (a200)) -> (ndr1_0) -> (c0_1 (a189)) -> (c1_1 (a189)) -> (c3_1 (a189)) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H23e zenon_H165 zenon_H163 zenon_H14c zenon_H164 zenon_Ha zenon_H36 zenon_H37 zenon_H38 zenon_H21c zenon_H21d zenon_H21e zenon_H1a6 zenon_H2d zenon_H4b. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H51 | zenon_intro zenon_H23f ]. % 0.62/0.82 apply (zenon_L193_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H2e | zenon_intro zenon_H4c ]. % 0.62/0.82 exact (zenon_H2d zenon_H2e). % 0.62/0.82 exact (zenon_H4b zenon_H4c). % 0.62/0.82 (* end of lemma zenon_L194_ *) % 0.62/0.82 assert (zenon_L195_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> (ndr1_0) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1c2 zenon_H48 zenon_H74 zenon_H156 zenon_H165 zenon_H163 zenon_H164 zenon_H1f3 zenon_H5 zenon_H193 zenon_H1a6 zenon_H243 zenon_H1be zenon_H106 zenon_H104 zenon_H105 zenon_H1cf zenon_Hcc zenon_Hca zenon_H4d zenon_H23e zenon_H4b zenon_H2d zenon_Ha zenon_H21c zenon_H21d zenon_H21e zenon_H101 zenon_H22f zenon_H3f zenon_Hb0 zenon_H1c3. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.62/0.82 apply (zenon_L180_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_Ha. zenon_intro zenon_H147. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H126. zenon_intro zenon_H148. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H127. zenon_intro zenon_H124. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.82 apply (zenon_L173_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.82 apply (zenon_L184_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.82 apply (zenon_L59_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.82 apply (zenon_L191_); trivial. % 0.62/0.82 apply (zenon_L194_); trivial. % 0.62/0.82 (* end of lemma zenon_L195_ *) % 0.62/0.82 assert (zenon_L196_ : ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (c0_1 (a200)) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp5)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H2f zenon_H165 zenon_H163 zenon_H14c zenon_H164 zenon_Ha zenon_H2b zenon_H2d. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H1b | zenon_intro zenon_H30 ]. % 0.62/0.82 apply (zenon_L192_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H2c | zenon_intro zenon_H2e ]. % 0.62/0.82 exact (zenon_H2b zenon_H2c). % 0.62/0.82 exact (zenon_H2d zenon_H2e). % 0.62/0.82 (* end of lemma zenon_L196_ *) % 0.62/0.82 assert (zenon_L197_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c3_1 (a209)) -> (c1_1 (a209)) -> (~(c0_1 (a209))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp5)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H156 zenon_H106 zenon_H105 zenon_H104 zenon_H1d7 zenon_H1d6 zenon_H1d5 zenon_H2f zenon_H165 zenon_H163 zenon_H164 zenon_Ha zenon_H2b zenon_H2d. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.82 apply (zenon_L59_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.82 apply (zenon_L119_); trivial. % 0.62/0.82 apply (zenon_L196_); trivial. % 0.62/0.82 (* end of lemma zenon_L197_ *) % 0.62/0.82 assert (zenon_L198_ : ((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c3_1 (a209)) -> (c1_1 (a209)) -> (~(c0_1 (a209))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H43 zenon_H156 zenon_H106 zenon_H105 zenon_H104 zenon_H1d7 zenon_H1d6 zenon_H1d5 zenon_H23e zenon_H165 zenon_H163 zenon_H164 zenon_H21c zenon_H21d zenon_H21e zenon_H1a6 zenon_H2d zenon_H4b. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.82 apply (zenon_L59_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.82 apply (zenon_L119_); trivial. % 0.62/0.82 apply (zenon_L194_); trivial. % 0.62/0.82 (* end of lemma zenon_L198_ *) % 0.62/0.82 assert (zenon_L199_ : ((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (c2_1 (a199)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1de zenon_H48 zenon_H1a6 zenon_H21e zenon_H21d zenon_H21c zenon_H4b zenon_H23e zenon_H104 zenon_H105 zenon_H106 zenon_H2f zenon_H2d zenon_H165 zenon_H163 zenon_H164 zenon_H156. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_Ha. zenon_intro zenon_H1df. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d6. zenon_intro zenon_H1e0. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d5. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.82 apply (zenon_L197_); trivial. % 0.62/0.82 apply (zenon_L198_); trivial. % 0.62/0.82 (* end of lemma zenon_L199_ *) % 0.62/0.82 assert (zenon_L200_ : (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1)))))) -> (ndr1_0) -> (~(c0_1 (a197))) -> (~(c2_1 (a197))) -> (c1_1 (a197)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H24a zenon_Ha zenon_H24b zenon_H24c zenon_H24d. % 0.62/0.82 generalize (zenon_H24a (a197)). zenon_intro zenon_H24e. % 0.62/0.82 apply (zenon_imply_s _ _ zenon_H24e); [ zenon_intro zenon_H9 | zenon_intro zenon_H24f ]. % 0.62/0.82 exact (zenon_H9 zenon_Ha). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H251 | zenon_intro zenon_H250 ]. % 0.62/0.82 exact (zenon_H24b zenon_H251). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H253 | zenon_intro zenon_H252 ]. % 0.62/0.82 exact (zenon_H24c zenon_H253). % 0.62/0.82 exact (zenon_H252 zenon_H24d). % 0.62/0.82 (* end of lemma zenon_L200_ *) % 0.62/0.82 assert (zenon_L201_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/((hskp8)\/(hskp9))) -> (c1_1 (a197)) -> (~(c2_1 (a197))) -> (~(c0_1 (a197))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp9)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H254 zenon_H24d zenon_H24c zenon_H24b zenon_Ha zenon_H6d zenon_H17. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H24a | zenon_intro zenon_H255 ]. % 0.62/0.82 apply (zenon_L200_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H6e | zenon_intro zenon_H18 ]. % 0.62/0.82 exact (zenon_H6d zenon_H6e). % 0.62/0.82 exact (zenon_H17 zenon_H18). % 0.62/0.82 (* end of lemma zenon_L201_ *) % 0.62/0.82 assert (zenon_L202_ : (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))) -> (ndr1_0) -> (~(c2_1 (a197))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(c0_1 (a197))) -> (c1_1 (a197)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H173 zenon_Ha zenon_H24c zenon_H149 zenon_H24b zenon_H24d. % 0.62/0.82 generalize (zenon_H173 (a197)). zenon_intro zenon_H256. % 0.62/0.82 apply (zenon_imply_s _ _ zenon_H256); [ zenon_intro zenon_H9 | zenon_intro zenon_H257 ]. % 0.62/0.82 exact (zenon_H9 zenon_Ha). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H253 | zenon_intro zenon_H258 ]. % 0.62/0.82 exact (zenon_H24c zenon_H253). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H259 | zenon_intro zenon_H252 ]. % 0.62/0.82 generalize (zenon_H149 (a197)). zenon_intro zenon_H25a. % 0.62/0.82 apply (zenon_imply_s _ _ zenon_H25a); [ zenon_intro zenon_H9 | zenon_intro zenon_H25b ]. % 0.62/0.82 exact (zenon_H9 zenon_Ha). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H251 | zenon_intro zenon_H25c ]. % 0.62/0.82 exact (zenon_H24b zenon_H251). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H252 | zenon_intro zenon_H25d ]. % 0.62/0.82 exact (zenon_H252 zenon_H24d). % 0.62/0.82 exact (zenon_H25d zenon_H259). % 0.62/0.82 exact (zenon_H252 zenon_H24d). % 0.62/0.82 (* end of lemma zenon_L202_ *) % 0.62/0.82 assert (zenon_L203_ : ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp3)\/(hskp12))) -> (c1_1 (a197)) -> (~(c0_1 (a197))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(c2_1 (a197))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp12)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H182 zenon_H24d zenon_H24b zenon_H149 zenon_H24c zenon_Ha zenon_H31 zenon_H5. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H173 | zenon_intro zenon_H183 ]. % 0.62/0.82 apply (zenon_L202_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H32 | zenon_intro zenon_H6 ]. % 0.62/0.82 exact (zenon_H31 zenon_H32). % 0.62/0.82 exact (zenon_H5 zenon_H6). % 0.62/0.82 (* end of lemma zenon_L203_ *) % 0.62/0.82 assert (zenon_L204_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> (~(hskp5)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (c3_1 (a189)) -> (c1_1 (a189)) -> (c0_1 (a189)) -> (c1_1 (a215)) -> (c2_1 (a215)) -> (c3_1 (a215)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (c0_1 (a200)) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H193 zenon_H2d zenon_H1a6 zenon_H21e zenon_H21d zenon_H21c zenon_H38 zenon_H37 zenon_H36 zenon_H61 zenon_H5f zenon_H60 zenon_H23e zenon_H165 zenon_H163 zenon_H14c zenon_H164 zenon_Ha zenon_H4b. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H91 | zenon_intro zenon_H194 ]. % 0.62/0.82 apply (zenon_L186_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H1b | zenon_intro zenon_H4c ]. % 0.62/0.82 apply (zenon_L192_); trivial. % 0.62/0.82 exact (zenon_H4b zenon_H4c). % 0.62/0.82 (* end of lemma zenon_L204_ *) % 0.62/0.82 assert (zenon_L205_ : ((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp3)\/(hskp12))) -> (~(hskp3)) -> (c1_1 (a197)) -> (~(c0_1 (a197))) -> (~(c2_1 (a197))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H16c zenon_Hae zenon_Hfc zenon_H23b zenon_H3f zenon_Hb0 zenon_H4d zenon_H4b zenon_H21c zenon_H21d zenon_H21e zenon_Hcc zenon_H1cf zenon_H105 zenon_H104 zenon_H106 zenon_H243 zenon_H1a6 zenon_H182 zenon_H31 zenon_H24d zenon_H24b zenon_H24c zenon_H193 zenon_H2d zenon_H23e zenon_H156 zenon_H74 zenon_H48 zenon_H2f zenon_H1e4. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.82 apply (zenon_L173_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.82 apply (zenon_L184_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.82 apply (zenon_L59_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.82 apply (zenon_L203_); trivial. % 0.62/0.82 apply (zenon_L204_); trivial. % 0.62/0.82 apply (zenon_L177_); trivial. % 0.62/0.82 apply (zenon_L199_); trivial. % 0.62/0.82 apply (zenon_L39_); trivial. % 0.62/0.82 (* end of lemma zenon_L205_ *) % 0.62/0.82 assert (zenon_L206_ : ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/(hskp15))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (c1_1 (a197)) -> (~(c0_1 (a197))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(c2_1 (a197))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H25e zenon_H21d zenon_H21e zenon_H21c zenon_H24d zenon_H24b zenon_H149 zenon_H24c zenon_Ha zenon_H3. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H238 | zenon_intro zenon_H25f ]. % 0.62/0.82 apply (zenon_L176_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H173 | zenon_intro zenon_H4 ]. % 0.62/0.82 apply (zenon_L202_); trivial. % 0.62/0.82 exact (zenon_H3 zenon_H4). % 0.62/0.82 (* end of lemma zenon_L206_ *) % 0.62/0.82 assert (zenon_L207_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> (~(hskp15)) -> (~(c2_1 (a197))) -> (~(c0_1 (a197))) -> (c1_1 (a197)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/(hskp15))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H245 zenon_H3 zenon_H24c zenon_H24b zenon_H24d zenon_H25e zenon_H21d zenon_H21e zenon_H21c zenon_Ha zenon_H89. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H149 | zenon_intro zenon_H246 ]. % 0.62/0.82 apply (zenon_L206_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H238 | zenon_intro zenon_H8a ]. % 0.62/0.82 apply (zenon_L176_); trivial. % 0.62/0.82 exact (zenon_H89 zenon_H8a). % 0.62/0.82 (* end of lemma zenon_L207_ *) % 0.62/0.82 assert (zenon_L208_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> (~(hskp9)) -> (~(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/(hskp15))) -> (c1_1 (a197)) -> (~(c0_1 (a197))) -> (~(c2_1 (a197))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (ndr1_0) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> False). % 0.62/0.82 do 0 intro. intros zenon_Haf zenon_H19 zenon_H17 zenon_H15 zenon_H25e zenon_H24d zenon_H24b zenon_H24c zenon_H21d zenon_H21e zenon_H21c zenon_Ha zenon_H89 zenon_H245. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.82 apply (zenon_L207_); trivial. % 0.62/0.82 apply (zenon_L132_); trivial. % 0.62/0.82 (* end of lemma zenon_L208_ *) % 0.62/0.82 assert (zenon_L209_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a198))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H75 zenon_Ha zenon_H260 zenon_Hb7 zenon_Hb5. % 0.62/0.82 generalize (zenon_H75 (a198)). zenon_intro zenon_H261. % 0.62/0.82 apply (zenon_imply_s _ _ zenon_H261); [ zenon_intro zenon_H9 | zenon_intro zenon_H262 ]. % 0.62/0.82 exact (zenon_H9 zenon_Ha). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H264 | zenon_intro zenon_H263 ]. % 0.62/0.82 exact (zenon_H260 zenon_H264). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hbc ]. % 0.62/0.82 exact (zenon_Hb7 zenon_Hbb). % 0.62/0.82 exact (zenon_Hbc zenon_Hb5). % 0.62/0.82 (* end of lemma zenon_L209_ *) % 0.62/0.82 assert (zenon_L210_ : (forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c2_1 (a198))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (c3_1 (a198)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1ae zenon_Ha zenon_Hb7 zenon_H75 zenon_Hb5. % 0.62/0.82 generalize (zenon_H1ae (a198)). zenon_intro zenon_H265. % 0.62/0.82 apply (zenon_imply_s _ _ zenon_H265); [ zenon_intro zenon_H9 | zenon_intro zenon_H266 ]. % 0.62/0.82 exact (zenon_H9 zenon_Ha). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_Hbb | zenon_intro zenon_H267 ]. % 0.62/0.82 exact (zenon_Hb7 zenon_Hbb). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H260 | zenon_intro zenon_Hbc ]. % 0.62/0.82 apply (zenon_L209_); trivial. % 0.62/0.82 exact (zenon_Hbc zenon_Hb5). % 0.62/0.82 (* end of lemma zenon_L210_ *) % 0.62/0.82 assert (zenon_L211_ : ((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(hskp0)) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> False). % 0.62/0.82 do 0 intro. intros zenon_Hf8 zenon_H23b zenon_H9b zenon_Hb7 zenon_Hb5 zenon_H1b6 zenon_H21c zenon_H21e zenon_H21d. % 0.62/0.82 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Ha. zenon_intro zenon_Hfa. % 0.62/0.82 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hd2. zenon_intro zenon_Hfb. % 0.62/0.82 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1aa | zenon_intro zenon_H23c ]. % 0.62/0.82 apply (zenon_L102_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H75 | zenon_intro zenon_H238 ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b7 ]. % 0.62/0.82 apply (zenon_L102_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1ae | zenon_intro zenon_H9c ]. % 0.62/0.82 apply (zenon_L210_); trivial. % 0.62/0.82 exact (zenon_H9b zenon_H9c). % 0.62/0.82 apply (zenon_L176_); trivial. % 0.62/0.82 (* end of lemma zenon_L211_ *) % 0.62/0.82 assert (zenon_L212_ : ((ndr1_0)/\((c0_1 (a202))/\((~(c2_1 (a202)))/\(~(c3_1 (a202)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H204 zenon_Hfc zenon_H23b zenon_Hb7 zenon_Hb5 zenon_H9b zenon_H1b6 zenon_H1c3 zenon_Hb0 zenon_H3f zenon_H22f zenon_H101 zenon_H21e zenon_H21d zenon_H21c zenon_H2d zenon_H4b zenon_H23e zenon_H4d zenon_Hcc zenon_H214 zenon_H48 zenon_H1c2. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H205. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H82. zenon_intro zenon_H206. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H80. zenon_intro zenon_H81. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.62/0.82 apply (zenon_L180_); trivial. % 0.62/0.82 apply (zenon_L174_); trivial. % 0.62/0.82 apply (zenon_L211_); trivial. % 0.62/0.82 (* end of lemma zenon_L212_ *) % 0.62/0.82 assert (zenon_L213_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a202))/\((~(c2_1 (a202)))/\(~(c3_1 (a202))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> (~(hskp10)) -> (ndr1_0) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a197))) -> (~(c0_1 (a197))) -> (c1_1 (a197)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/(hskp15))) -> (~(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H23d zenon_Hfc zenon_H23b zenon_Hb7 zenon_Hb5 zenon_H9b zenon_H1b6 zenon_H1c3 zenon_Hb0 zenon_H3f zenon_H22f zenon_H101 zenon_H2d zenon_H4b zenon_H23e zenon_H4d zenon_Hcc zenon_H214 zenon_H48 zenon_H1c2 zenon_H245 zenon_H89 zenon_Ha zenon_H21c zenon_H21e zenon_H21d zenon_H24c zenon_H24b zenon_H24d zenon_H25e zenon_H17 zenon_H19 zenon_Haf. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H15 | zenon_intro zenon_H204 ]. % 0.62/0.82 apply (zenon_L208_); trivial. % 0.62/0.82 apply (zenon_L212_); trivial. % 0.62/0.82 (* end of lemma zenon_L213_ *) % 0.62/0.82 assert (zenon_L214_ : ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> (~(hskp24)) -> (ndr1_0) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (c3_1 (a200)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (c3_1 (a189)) -> (c1_1 (a189)) -> (c0_1 (a189)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H23e zenon_H58 zenon_Ha zenon_H163 zenon_H164 zenon_H165 zenon_H1a6 zenon_H21e zenon_H21d zenon_H21c zenon_H38 zenon_H37 zenon_H36 zenon_H158 zenon_H2d zenon_H4b. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H51 | zenon_intro zenon_H23f ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14c | zenon_intro zenon_H159 ]. % 0.62/0.82 apply (zenon_L193_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H15a | zenon_intro zenon_H59 ]. % 0.62/0.82 apply (zenon_L77_); trivial. % 0.62/0.82 exact (zenon_H58 zenon_H59). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H2e | zenon_intro zenon_H4c ]. % 0.62/0.82 exact (zenon_H2d zenon_H2e). % 0.62/0.82 exact (zenon_H4b zenon_H4c). % 0.62/0.82 (* end of lemma zenon_L214_ *) % 0.62/0.82 assert (zenon_L215_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> (c3_1 (a215)) -> (c2_1 (a215)) -> (c1_1 (a215)) -> (c0_1 (a189)) -> (c1_1 (a189)) -> (c3_1 (a189)) -> (forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c1_1 (a222)) -> (c2_1 (a222)) -> (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26)))))) -> (~(c3_1 (a222))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1f3 zenon_H60 zenon_H5f zenon_H61 zenon_H36 zenon_H37 zenon_H38 zenon_H51 zenon_H21c zenon_H21d zenon_H21e zenon_H1a6 zenon_H126 zenon_H127 zenon_Hb zenon_H124 zenon_Ha zenon_H5. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H91 | zenon_intro zenon_H1f4 ]. % 0.62/0.82 apply (zenon_L185_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H18d | zenon_intro zenon_H6 ]. % 0.62/0.82 apply (zenon_L170_); trivial. % 0.62/0.82 exact (zenon_H5 zenon_H6). % 0.62/0.82 (* end of lemma zenon_L215_ *) % 0.62/0.82 assert (zenon_L216_ : ((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a202))/\((~(c2_1 (a202)))/\(~(c3_1 (a202))))))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H16c zenon_H23d zenon_Hb7 zenon_Hb5 zenon_H9b zenon_H1b6 zenon_H214 zenon_Hfc zenon_H23b zenon_H1c3 zenon_Hb0 zenon_H3f zenon_H22f zenon_H101 zenon_H21e zenon_H21d zenon_H21c zenon_H4b zenon_H4d zenon_Hcc zenon_H23e zenon_H2d zenon_H1a6 zenon_H158 zenon_H19 zenon_H17 zenon_H1f3 zenon_H74 zenon_H48 zenon_H1c2 zenon_Hae. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H15 | zenon_intro zenon_H204 ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.62/0.82 apply (zenon_L169_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_Ha. zenon_intro zenon_H147. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H126. zenon_intro zenon_H148. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H127. zenon_intro zenon_H124. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.82 apply (zenon_L173_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.82 apply (zenon_L214_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H51 | zenon_intro zenon_H23f ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a ]. % 0.62/0.82 apply (zenon_L215_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H16 | zenon_intro zenon_H18 ]. % 0.62/0.82 exact (zenon_H15 zenon_H16). % 0.62/0.82 exact (zenon_H17 zenon_H18). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H2e | zenon_intro zenon_H4c ]. % 0.62/0.82 exact (zenon_H2d zenon_H2e). % 0.62/0.82 exact (zenon_H4b zenon_H4c). % 0.62/0.82 apply (zenon_L177_); trivial. % 0.62/0.82 apply (zenon_L39_); trivial. % 0.62/0.82 apply (zenon_L212_); trivial. % 0.62/0.82 (* end of lemma zenon_L216_ *) % 0.62/0.82 assert (zenon_L217_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1))) -> (ndr1_0) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp17)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1c3 zenon_Hb0 zenon_H21e zenon_H21d zenon_H21c zenon_H3f zenon_H22f zenon_Ha zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hfd zenon_H101. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hff | zenon_intro zenon_H119 ]. % 0.62/0.82 apply (zenon_L58_); trivial. % 0.62/0.82 apply (zenon_L168_); trivial. % 0.62/0.82 (* end of lemma zenon_L217_ *) % 0.62/0.82 assert (zenon_L218_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> (~(hskp11)) -> (~(hskp7)) -> (~(hskp9)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/((hskp7)\/(hskp9))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (ndr1_0) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1c2 zenon_H19 zenon_H15 zenon_H234 zenon_H17 zenon_H236 zenon_H101 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_Ha zenon_H22f zenon_H3f zenon_H21c zenon_H21d zenon_H21e zenon_Hb0 zenon_H1c3. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.62/0.82 apply (zenon_L217_); trivial. % 0.62/0.82 apply (zenon_L172_); trivial. % 0.62/0.82 (* end of lemma zenon_L218_ *) % 0.62/0.82 assert (zenon_L219_ : ((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp16)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H145 zenon_H48 zenon_H214 zenon_H82 zenon_H81 zenon_H80 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hca zenon_Hcc. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_Ha. zenon_intro zenon_H147. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H126. zenon_intro zenon_H148. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H127. zenon_intro zenon_H124. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.82 apply (zenon_L46_); trivial. % 0.62/0.82 apply (zenon_L150_); trivial. % 0.62/0.82 (* end of lemma zenon_L219_ *) % 0.62/0.82 assert (zenon_L220_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> (~(hskp16)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (ndr1_0) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1c2 zenon_H48 zenon_H214 zenon_H82 zenon_H81 zenon_H80 zenon_Hca zenon_Hcc zenon_H101 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_Ha zenon_H22f zenon_H3f zenon_H21c zenon_H21d zenon_H21e zenon_Hb0 zenon_H1c3. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.62/0.82 apply (zenon_L217_); trivial. % 0.62/0.82 apply (zenon_L219_); trivial. % 0.62/0.82 (* end of lemma zenon_L220_ *) % 0.62/0.82 assert (zenon_L221_ : ((ndr1_0)/\((c0_1 (a202))/\((~(c2_1 (a202)))/\(~(c3_1 (a202)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H204 zenon_Hfc zenon_H23b zenon_H1c3 zenon_Hb0 zenon_H21e zenon_H21d zenon_H21c zenon_H3f zenon_H22f zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H101 zenon_Hcc zenon_H214 zenon_H48 zenon_H1c2. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H205. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H82. zenon_intro zenon_H206. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H80. zenon_intro zenon_H81. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.82 apply (zenon_L220_); trivial. % 0.62/0.82 apply (zenon_L177_); trivial. % 0.62/0.82 (* end of lemma zenon_L221_ *) % 0.62/0.82 assert (zenon_L222_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (~(hskp13)) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (c3_1 (a189)) -> (c1_1 (a189)) -> (c0_1 (a189)) -> (ndr1_0) -> (~(hskp24)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1a6 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H1cf zenon_H1be zenon_H21c zenon_H21e zenon_H21d zenon_H105 zenon_H104 zenon_H106 zenon_H243 zenon_H38 zenon_H37 zenon_H36 zenon_Ha zenon_H58. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.82 apply (zenon_L44_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.82 apply (zenon_L16_); trivial. % 0.62/0.82 apply (zenon_L183_); trivial. % 0.62/0.82 (* end of lemma zenon_L222_ *) % 0.62/0.82 assert (zenon_L223_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (~(hskp10)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H6f zenon_H245 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1a6 zenon_H21d zenon_H21e zenon_H21c zenon_H89. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H149 | zenon_intro zenon_H246 ]. % 0.62/0.82 apply (zenon_L121_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H238 | zenon_intro zenon_H8a ]. % 0.62/0.82 apply (zenon_L176_); trivial. % 0.62/0.82 exact (zenon_H89 zenon_H8a). % 0.62/0.82 (* end of lemma zenon_L223_ *) % 0.62/0.82 assert (zenon_L224_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> (~(hskp10)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(hskp13)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (ndr1_0) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp16)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H48 zenon_H74 zenon_H245 zenon_H89 zenon_H1cf zenon_H105 zenon_H104 zenon_H106 zenon_H21c zenon_H21e zenon_H21d zenon_H1be zenon_H243 zenon_H1a6 zenon_Ha zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hca zenon_Hcc. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.82 apply (zenon_L46_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.82 apply (zenon_L222_); trivial. % 0.62/0.82 apply (zenon_L223_); trivial. % 0.62/0.82 (* end of lemma zenon_L224_ *) % 0.62/0.82 assert (zenon_L225_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (c3_1 (a189)) -> (c1_1 (a189)) -> (c0_1 (a189)) -> (ndr1_0) -> (c0_1 (a200)) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (~(c1_1 (a200))) -> (c3_1 (a200)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1a6 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H38 zenon_H37 zenon_H36 zenon_Ha zenon_H164 zenon_H14c zenon_H163 zenon_H165. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.82 apply (zenon_L44_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.82 apply (zenon_L16_); trivial. % 0.62/0.82 apply (zenon_L192_); trivial. % 0.62/0.82 (* end of lemma zenon_L225_ *) % 0.62/0.82 assert (zenon_L226_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (c3_1 (a189)) -> (c1_1 (a189)) -> (c0_1 (a189)) -> (c0_1 (a200)) -> (~(c1_1 (a200))) -> (c3_1 (a200)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H6f zenon_H156 zenon_H106 zenon_H105 zenon_H104 zenon_H1a6 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H38 zenon_H37 zenon_H36 zenon_H164 zenon_H163 zenon_H165. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.82 apply (zenon_L59_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.82 apply (zenon_L115_); trivial. % 0.62/0.82 apply (zenon_L225_); trivial. % 0.62/0.82 (* end of lemma zenon_L226_ *) % 0.62/0.82 assert (zenon_L227_ : ((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c3_1 (a209)) -> (c1_1 (a209)) -> (~(c0_1 (a209))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (c0_1 (a200)) -> (~(c1_1 (a200))) -> (c3_1 (a200)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H43 zenon_H156 zenon_H106 zenon_H105 zenon_H104 zenon_H1d7 zenon_H1d6 zenon_H1d5 zenon_H1a6 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H164 zenon_H163 zenon_H165. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.82 apply (zenon_L59_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.82 apply (zenon_L119_); trivial. % 0.62/0.82 apply (zenon_L225_); trivial. % 0.62/0.82 (* end of lemma zenon_L227_ *) % 0.62/0.82 assert (zenon_L228_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c0_1 (a200)) -> (~(c1_1 (a200))) -> (c3_1 (a200)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a209)) -> (c1_1 (a209)) -> (~(c0_1 (a209))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (ndr1_0) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp16)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H48 zenon_H156 zenon_H164 zenon_H163 zenon_H165 zenon_H1a6 zenon_H1d7 zenon_H1d6 zenon_H1d5 zenon_H106 zenon_H105 zenon_H104 zenon_Ha zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hca zenon_Hcc. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.82 apply (zenon_L46_); trivial. % 0.62/0.82 apply (zenon_L227_); trivial. % 0.62/0.82 (* end of lemma zenon_L228_ *) % 0.62/0.82 assert (zenon_L229_ : ((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1e7 zenon_H1e3 zenon_H156 zenon_Hfc zenon_H23b zenon_H3f zenon_Hb0 zenon_Hcc zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H1a6 zenon_H243 zenon_H21d zenon_H21e zenon_H21c zenon_H1cf zenon_H245 zenon_H74 zenon_H48 zenon_H1e4. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.82 apply (zenon_L224_); trivial. % 0.62/0.82 apply (zenon_L177_); trivial. % 0.62/0.82 apply (zenon_L188_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.82 apply (zenon_L46_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.82 apply (zenon_L222_); trivial. % 0.62/0.82 apply (zenon_L226_); trivial. % 0.62/0.82 apply (zenon_L177_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_Ha. zenon_intro zenon_H1df. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d6. zenon_intro zenon_H1e0. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d5. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.82 apply (zenon_L228_); trivial. % 0.62/0.82 apply (zenon_L177_); trivial. % 0.62/0.82 (* end of lemma zenon_L229_ *) % 0.62/0.82 assert (zenon_L230_ : ((ndr1_0)/\((c0_1 (a202))/\((~(c2_1 (a202)))/\(~(c3_1 (a202)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H204 zenon_Hfc zenon_H23b zenon_Hb7 zenon_Hb5 zenon_H9b zenon_H1b6 zenon_H1c3 zenon_Hb0 zenon_H21e zenon_H21d zenon_H21c zenon_H3f zenon_H22f zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H101 zenon_Hcc zenon_H214 zenon_H48 zenon_H1c2. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H205. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H82. zenon_intro zenon_H206. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H80. zenon_intro zenon_H81. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.82 apply (zenon_L220_); trivial. % 0.62/0.82 apply (zenon_L211_); trivial. % 0.62/0.82 (* end of lemma zenon_L230_ *) % 0.62/0.82 assert (zenon_L231_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c2_1 (a257)) -> (~(c3_1 (a257))) -> (~(c1_1 (a257))) -> (c3_1 (a189)) -> (c1_1 (a189)) -> (c0_1 (a189)) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))) -> (~(hskp24)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1cf zenon_He3 zenon_He2 zenon_He1 zenon_H38 zenon_H37 zenon_H36 zenon_Ha zenon_H1b zenon_H58. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_He0 | zenon_intro zenon_H1d0 ]. % 0.62/0.82 apply (zenon_L50_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H59 ]. % 0.62/0.82 apply (zenon_L112_); trivial. % 0.62/0.82 exact (zenon_H58 zenon_H59). % 0.62/0.82 (* end of lemma zenon_L231_ *) % 0.62/0.82 assert (zenon_L232_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c2_1 (a257)) -> (~(c3_1 (a257))) -> (~(c1_1 (a257))) -> (c3_1 (a189)) -> (c1_1 (a189)) -> (c0_1 (a189)) -> (ndr1_0) -> (~(hskp24)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1a6 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H1cf zenon_He3 zenon_He2 zenon_He1 zenon_H38 zenon_H37 zenon_H36 zenon_Ha zenon_H58. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.82 apply (zenon_L44_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.82 apply (zenon_L16_); trivial. % 0.62/0.82 apply (zenon_L231_); trivial. % 0.62/0.82 (* end of lemma zenon_L232_ *) % 0.62/0.82 assert (zenon_L233_ : (forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H35 zenon_Ha zenon_H75 zenon_Hb7 zenon_Hb5 zenon_Hb6. % 0.62/0.82 generalize (zenon_H35 (a198)). zenon_intro zenon_H268. % 0.62/0.82 apply (zenon_imply_s _ _ zenon_H268); [ zenon_intro zenon_H9 | zenon_intro zenon_H269 ]. % 0.62/0.82 exact (zenon_H9 zenon_Ha). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H260 | zenon_intro zenon_Hba ]. % 0.62/0.82 apply (zenon_L209_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbc ]. % 0.62/0.82 exact (zenon_Hbd zenon_Hb6). % 0.62/0.82 exact (zenon_Hbc zenon_Hb5). % 0.62/0.82 (* end of lemma zenon_L233_ *) % 0.62/0.82 assert (zenon_L234_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (c1_1 (a198)) -> (c3_1 (a198)) -> (~(c2_1 (a198))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (ndr1_0) -> (c0_1 (a200)) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (~(c1_1 (a200))) -> (c3_1 (a200)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1a6 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_Hb6 zenon_Hb5 zenon_Hb7 zenon_H75 zenon_Ha zenon_H164 zenon_H14c zenon_H163 zenon_H165. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.82 apply (zenon_L44_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.82 apply (zenon_L233_); trivial. % 0.62/0.82 apply (zenon_L192_); trivial. % 0.62/0.82 (* end of lemma zenon_L234_ *) % 0.62/0.82 assert (zenon_L235_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> (c3_1 (a215)) -> (c2_1 (a215)) -> (c1_1 (a215)) -> (c0_1 (a189)) -> (c1_1 (a189)) -> (c3_1 (a189)) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (ndr1_0) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (c3_1 (a200)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H26a zenon_H14c zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_H60 zenon_H5f zenon_H61 zenon_H36 zenon_H37 zenon_H38 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1a6 zenon_Ha zenon_H163 zenon_H164 zenon_H165. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H75 | zenon_intro zenon_H26b ]. % 0.62/0.82 apply (zenon_L234_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H91 | zenon_intro zenon_H15a ]. % 0.62/0.82 apply (zenon_L155_); trivial. % 0.62/0.82 apply (zenon_L77_); trivial. % 0.62/0.82 (* end of lemma zenon_L235_ *) % 0.62/0.82 assert (zenon_L236_ : ((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (c1_1 (a198)) -> (c3_1 (a198)) -> (~(c2_1 (a198))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp16)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> False). % 0.62/0.82 do 0 intro. intros zenon_Hf5 zenon_H48 zenon_H74 zenon_H19d zenon_H17 zenon_H165 zenon_H163 zenon_H164 zenon_Hb6 zenon_Hb5 zenon_Hb7 zenon_H26a zenon_H1cf zenon_H1a6 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hca zenon_Hcc. % 0.62/0.82 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.82 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.82 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.82 apply (zenon_L46_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.82 apply (zenon_L232_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H14c | zenon_intro zenon_H19e ]. % 0.62/0.82 apply (zenon_L235_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H35 | zenon_intro zenon_H18 ]. % 0.62/0.82 apply (zenon_L16_); trivial. % 0.62/0.82 exact (zenon_H17 zenon_H18). % 0.62/0.82 (* end of lemma zenon_L236_ *) % 0.62/0.82 assert (zenon_L237_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (c1_1 (a198)) -> (c3_1 (a198)) -> (~(c2_1 (a198))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp16)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (~(hskp5)) -> (~(hskp15)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> False). % 0.62/0.82 do 0 intro. intros zenon_Hf9 zenon_H48 zenon_H74 zenon_H19d zenon_H17 zenon_H165 zenon_H163 zenon_H164 zenon_Hb6 zenon_Hb5 zenon_Hb7 zenon_H26a zenon_H1cf zenon_H1a6 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hca zenon_Hcc zenon_H2d zenon_H3 zenon_Hce. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.82 apply (zenon_L48_); trivial. % 0.62/0.82 apply (zenon_L236_); trivial. % 0.62/0.82 (* end of lemma zenon_L237_ *) % 0.62/0.82 assert (zenon_L238_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp15)) -> (~(hskp5)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> (c0_1 (a200)) -> (~(c1_1 (a200))) -> (c3_1 (a200)) -> (~(hskp9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_Hfc zenon_H23b zenon_H21d zenon_H21e zenon_H21c zenon_H9b zenon_H1b6 zenon_Hce zenon_H3 zenon_H2d zenon_Hcc zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H1a6 zenon_H1cf zenon_H26a zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_H164 zenon_H163 zenon_H165 zenon_H17 zenon_H19d zenon_H74 zenon_H48 zenon_Hf9. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.82 apply (zenon_L237_); trivial. % 0.62/0.82 apply (zenon_L211_); trivial. % 0.62/0.82 (* end of lemma zenon_L238_ *) % 0.62/0.82 assert (zenon_L239_ : ((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a202))/\((~(c2_1 (a202)))/\(~(c3_1 (a202))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp5)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> (~(hskp9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H16c zenon_H23d zenon_H1c3 zenon_Hb0 zenon_H3f zenon_H22f zenon_H101 zenon_H214 zenon_H1c2 zenon_Hfc zenon_H23b zenon_H21d zenon_H21e zenon_H21c zenon_H9b zenon_H1b6 zenon_Hce zenon_H2d zenon_Hcc zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H1a6 zenon_H1cf zenon_H26a zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_H17 zenon_H19d zenon_H74 zenon_H48 zenon_Hf9 zenon_H19 zenon_Haf. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H15 | zenon_intro zenon_H204 ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.82 apply (zenon_L238_); trivial. % 0.62/0.82 apply (zenon_L132_); trivial. % 0.62/0.82 apply (zenon_L230_); trivial. % 0.62/0.82 (* end of lemma zenon_L239_ *) % 0.62/0.82 assert (zenon_L240_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> (c0_1 (a189)) -> (c1_1 (a189)) -> (c3_1 (a189)) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (c3_1 (a200)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H6f zenon_H156 zenon_H106 zenon_H105 zenon_H104 zenon_H26a zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_H36 zenon_H37 zenon_H38 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1a6 zenon_H163 zenon_H164 zenon_H165. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.82 apply (zenon_L59_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.82 apply (zenon_L121_); trivial. % 0.62/0.82 apply (zenon_L235_); trivial. % 0.62/0.82 (* end of lemma zenon_L240_ *) % 0.62/0.82 assert (zenon_L241_ : ((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a209))) -> (c1_1 (a209)) -> (c3_1 (a209)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (c2_1 (a199)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> False). % 0.62/0.82 do 0 intro. intros zenon_Hf8 zenon_H23b zenon_H165 zenon_H163 zenon_H164 zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1a6 zenon_H1d5 zenon_H1d6 zenon_H1d7 zenon_H104 zenon_H105 zenon_H106 zenon_H156 zenon_H21c zenon_H21e zenon_H21d. % 0.62/0.82 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Ha. zenon_intro zenon_Hfa. % 0.62/0.82 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hd2. zenon_intro zenon_Hfb. % 0.62/0.82 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1aa | zenon_intro zenon_H23c ]. % 0.62/0.82 apply (zenon_L102_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H75 | zenon_intro zenon_H238 ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.82 apply (zenon_L59_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.82 apply (zenon_L119_); trivial. % 0.62/0.82 apply (zenon_L234_); trivial. % 0.62/0.82 apply (zenon_L176_); trivial. % 0.62/0.82 (* end of lemma zenon_L241_ *) % 0.62/0.82 assert (zenon_L242_ : ((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c1_1 (a198)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1e7 zenon_H1e3 zenon_H156 zenon_Hb6 zenon_H26a zenon_Hb0 zenon_H3f zenon_Hfc zenon_H23b zenon_Hb7 zenon_Hb5 zenon_H9b zenon_H1b6 zenon_Hcc zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H1a6 zenon_H243 zenon_H21d zenon_H21e zenon_H21c zenon_H1cf zenon_H245 zenon_H74 zenon_H48 zenon_H1e4. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.82 apply (zenon_L224_); trivial. % 0.62/0.82 apply (zenon_L211_); trivial. % 0.62/0.82 apply (zenon_L188_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.82 apply (zenon_L46_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.82 apply (zenon_L222_); trivial. % 0.62/0.82 apply (zenon_L240_); trivial. % 0.62/0.82 apply (zenon_L177_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_Ha. zenon_intro zenon_H1df. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d6. zenon_intro zenon_H1e0. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d5. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.82 apply (zenon_L228_); trivial. % 0.62/0.82 apply (zenon_L241_); trivial. % 0.62/0.82 (* end of lemma zenon_L242_ *) % 0.62/0.82 assert (zenon_L243_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (ndr1_0) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H48 zenon_H19d zenon_H17 zenon_H14f zenon_H14e zenon_H14d zenon_Hcc zenon_Hca zenon_H21e zenon_H21d zenon_H21c zenon_Ha zenon_H4b zenon_H4d. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.82 apply (zenon_L173_); trivial. % 0.62/0.82 apply (zenon_L93_); trivial. % 0.62/0.82 (* end of lemma zenon_L243_ *) % 0.62/0.82 assert (zenon_L244_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> (ndr1_0) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> (~(hskp9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_Hfc zenon_H23b zenon_H3f zenon_Hb0 zenon_H4d zenon_H4b zenon_Ha zenon_H21c zenon_H21d zenon_H21e zenon_Hcc zenon_H14d zenon_H14e zenon_H14f zenon_H17 zenon_H19d zenon_H48. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.82 apply (zenon_L243_); trivial. % 0.62/0.82 apply (zenon_L177_); trivial. % 0.62/0.82 (* end of lemma zenon_L244_ *) % 0.62/0.82 assert (zenon_L245_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a222))) -> (c1_1 (a222)) -> (c2_1 (a222)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (~(hskp13)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H6f zenon_H156 zenon_H106 zenon_H105 zenon_H104 zenon_H1f3 zenon_H5 zenon_H124 zenon_H126 zenon_H127 zenon_H4b zenon_H193 zenon_H1a6 zenon_H21e zenon_H21d zenon_H21c zenon_H1be zenon_H243 zenon_H4d zenon_H14d zenon_H14e zenon_H14f. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.82 apply (zenon_L59_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.82 apply (zenon_L191_); trivial. % 0.62/0.82 apply (zenon_L73_); trivial. % 0.62/0.82 (* end of lemma zenon_L245_ *) % 0.62/0.82 assert (zenon_L246_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (ndr1_0) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp16)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H48 zenon_H19d zenon_H17 zenon_H14f zenon_H14e zenon_H14d zenon_Ha zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hca zenon_Hcc. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.82 apply (zenon_L46_); trivial. % 0.62/0.82 apply (zenon_L93_); trivial. % 0.62/0.82 (* end of lemma zenon_L246_ *) % 0.62/0.82 assert (zenon_L247_ : ((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1e7 zenon_H1e3 zenon_H158 zenon_Hfc zenon_H23b zenon_H3f zenon_Hb0 zenon_Hcc zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H1a6 zenon_H243 zenon_H21d zenon_H21e zenon_H21c zenon_H1cf zenon_H14d zenon_H14e zenon_H14f zenon_H156 zenon_H74 zenon_H48 zenon_H245 zenon_H1e4. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.82 apply (zenon_L46_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.82 apply (zenon_L222_); trivial. % 0.62/0.82 apply (zenon_L122_); trivial. % 0.62/0.82 apply (zenon_L177_); trivial. % 0.62/0.82 apply (zenon_L188_); trivial. % 0.62/0.82 apply (zenon_L123_); trivial. % 0.62/0.82 (* end of lemma zenon_L247_ *) % 0.62/0.82 assert (zenon_L248_ : ((ndr1_0)/\((c0_1 (a195))/\((~(c1_1 (a195)))/\(~(c3_1 (a195)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221))))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1e1 zenon_H1e2 zenon_H1e3 zenon_H158 zenon_H1a6 zenon_H243 zenon_H1cf zenon_H156 zenon_H74 zenon_H245 zenon_H1e4 zenon_H48 zenon_H19d zenon_H14f zenon_H14e zenon_H14d zenon_Hcc zenon_Hb0 zenon_H3f zenon_H21c zenon_H21e zenon_H21d zenon_H23b zenon_Hfc. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e5. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_Hc3. zenon_intro zenon_H1e6. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Hc1. zenon_intro zenon_Hc2. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.82 apply (zenon_L246_); trivial. % 0.62/0.82 apply (zenon_L177_); trivial. % 0.62/0.82 apply (zenon_L247_); trivial. % 0.62/0.82 (* end of lemma zenon_L248_ *) % 0.62/0.82 assert (zenon_L249_ : ((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/((hskp7)\/(hskp9))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp9)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H236 zenon_H1ec zenon_H1eb zenon_H1ea zenon_Ha zenon_H234 zenon_H17. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H18d | zenon_intro zenon_H237 ]. % 0.62/0.82 apply (zenon_L125_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H235 | zenon_intro zenon_H18 ]. % 0.62/0.82 exact (zenon_H234 zenon_H235). % 0.62/0.82 exact (zenon_H17 zenon_H18). % 0.62/0.82 (* end of lemma zenon_L249_ *) % 0.62/0.82 assert (zenon_L250_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41)))))) -> (~(c1_1 (a199))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))) -> (ndr1_0) -> (~(hskp24)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1cf zenon_H106 zenon_H104 zenon_H5e zenon_H105 zenon_H1ec zenon_H1eb zenon_H1f5 zenon_Ha zenon_H58. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_He0 | zenon_intro zenon_H1d0 ]. % 0.62/0.82 apply (zenon_L181_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H59 ]. % 0.62/0.82 apply (zenon_L134_); trivial. % 0.62/0.82 exact (zenon_H58 zenon_H59). % 0.62/0.82 (* end of lemma zenon_L250_ *) % 0.62/0.82 assert (zenon_L251_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(hskp24)) -> (forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H243 zenon_H58 zenon_H1f5 zenon_H1eb zenon_H1ec zenon_H105 zenon_H104 zenon_H106 zenon_H1cf zenon_H21d zenon_H21e zenon_H21c zenon_Ha zenon_H1be. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H5e | zenon_intro zenon_H244 ]. % 0.62/0.82 apply (zenon_L250_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H238 | zenon_intro zenon_H1bf ]. % 0.62/0.82 apply (zenon_L176_); trivial. % 0.62/0.82 exact (zenon_H1be zenon_H1bf). % 0.62/0.82 (* end of lemma zenon_L251_ *) % 0.62/0.82 assert (zenon_L252_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(hskp24)) -> (c0_1 (a192)) -> (c1_1 (a192)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H202 zenon_He zenon_Hd zenon_Hc zenon_H92 zenon_H243 zenon_H58 zenon_H1eb zenon_H1ec zenon_H105 zenon_H104 zenon_H106 zenon_H1cf zenon_H21d zenon_H21e zenon_H21c zenon_Ha zenon_H1be. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hb | zenon_intro zenon_H203 ]. % 0.62/0.82 apply (zenon_L6_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H7f | zenon_intro zenon_H1f5 ]. % 0.62/0.82 apply (zenon_L167_); trivial. % 0.62/0.82 apply (zenon_L251_); trivial. % 0.62/0.82 (* end of lemma zenon_L252_ *) % 0.62/0.82 assert (zenon_L253_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> (ndr1_0) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> (c0_1 (a192)) -> (c1_1 (a192)) -> (~(hskp24)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_Hb0 zenon_H3f zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H21e zenon_H21d zenon_H21c zenon_H243 zenon_H1be zenon_H105 zenon_H104 zenon_H106 zenon_H1eb zenon_H1ec zenon_H58 zenon_H1cf zenon_H202. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H92 | zenon_intro zenon_H40 ]. % 0.62/0.82 apply (zenon_L252_); trivial. % 0.62/0.82 exact (zenon_H3f zenon_H40). % 0.62/0.82 (* end of lemma zenon_L253_ *) % 0.62/0.82 assert (zenon_L254_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H6f zenon_H4d zenon_H4b zenon_H243 zenon_H1be zenon_H21c zenon_H21d zenon_H21e zenon_H1a6 zenon_H1ea zenon_H1eb zenon_H1ec zenon_H5 zenon_H1f3. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H51 | zenon_intro zenon_H4c ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H91 | zenon_intro zenon_H1f4 ]. % 0.62/0.82 apply (zenon_L190_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H18d | zenon_intro zenon_H6 ]. % 0.62/0.82 apply (zenon_L125_); trivial. % 0.62/0.82 exact (zenon_H5 zenon_H6). % 0.62/0.82 exact (zenon_H4b zenon_H4c). % 0.62/0.82 (* end of lemma zenon_L254_ *) % 0.62/0.82 assert (zenon_L255_ : ((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c3_1 (a192))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (~(hskp13)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> False). % 0.62/0.82 do 0 intro. intros zenon_Hb2 zenon_H74 zenon_H4d zenon_H4b zenon_H1a6 zenon_H1ea zenon_H5 zenon_H1f3 zenon_H202 zenon_H1cf zenon_H1ec zenon_H1eb zenon_H106 zenon_H104 zenon_H105 zenon_H1be zenon_H243 zenon_H21c zenon_H21d zenon_H21e zenon_H3f zenon_Hb0. % 0.62/0.82 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.82 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.82 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.82 apply (zenon_L253_); trivial. % 0.62/0.82 apply (zenon_L254_); trivial. % 0.62/0.82 (* end of lemma zenon_L255_ *) % 0.62/0.82 assert (zenon_L256_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c3_1 (a192))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (~(hskp13)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp14)\/((hskp15)\/(hskp12))) -> False). % 0.62/0.82 do 0 intro. intros zenon_Haf zenon_H74 zenon_H4d zenon_H4b zenon_H1a6 zenon_H1ea zenon_H1f3 zenon_H202 zenon_H1cf zenon_H1ec zenon_H1eb zenon_H106 zenon_H104 zenon_H105 zenon_H1be zenon_H243 zenon_H21c zenon_H21d zenon_H21e zenon_H3f zenon_Hb0 zenon_H1 zenon_H5 zenon_H7. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.82 apply (zenon_L4_); trivial. % 0.62/0.82 apply (zenon_L255_); trivial. % 0.62/0.82 (* end of lemma zenon_L256_ *) % 0.62/0.82 assert (zenon_L257_ : (forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72)))))) -> (ndr1_0) -> (~(c1_1 (a257))) -> (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26)))))) -> (~(c3_1 (a257))) -> (c2_1 (a257)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H26c zenon_Ha zenon_He1 zenon_Hb zenon_He2 zenon_He3. % 0.62/0.82 generalize (zenon_H26c (a257)). zenon_intro zenon_H26d. % 0.62/0.82 apply (zenon_imply_s _ _ zenon_H26d); [ zenon_intro zenon_H9 | zenon_intro zenon_H26e ]. % 0.62/0.82 exact (zenon_H9 zenon_Ha). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_He7 | zenon_intro zenon_Hed ]. % 0.62/0.82 exact (zenon_He1 zenon_He7). % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hee | zenon_intro zenon_He8 ]. % 0.62/0.82 generalize (zenon_Hb (a257)). zenon_intro zenon_H26f. % 0.62/0.82 apply (zenon_imply_s _ _ zenon_H26f); [ zenon_intro zenon_H9 | zenon_intro zenon_H270 ]. % 0.62/0.82 exact (zenon_H9 zenon_Ha). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He6 ]. % 0.62/0.82 exact (zenon_Hee zenon_Hf2). % 0.62/0.82 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_He9 | zenon_intro zenon_He8 ]. % 0.62/0.82 exact (zenon_He2 zenon_He9). % 0.62/0.82 exact (zenon_He8 zenon_He3). % 0.62/0.82 exact (zenon_He8 zenon_He3). % 0.62/0.82 (* end of lemma zenon_L257_ *) % 0.62/0.82 assert (zenon_L258_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (~(hskp13)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (~(c1_1 (a257))) -> (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26)))))) -> (~(c3_1 (a257))) -> (c2_1 (a257)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (~(hskp24)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1cf zenon_H1be zenon_H105 zenon_H104 zenon_H106 zenon_H243 zenon_H1ec zenon_H1eb zenon_Ha zenon_H92 zenon_H21e zenon_H21d zenon_H21c zenon_He1 zenon_Hb zenon_He2 zenon_He3 zenon_H271 zenon_H58. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_He0 | zenon_intro zenon_H1d0 ]. % 0.62/0.82 apply (zenon_L182_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H59 ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H26c | zenon_intro zenon_H203 ]. % 0.62/0.82 apply (zenon_L257_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H7f | zenon_intro zenon_H1f5 ]. % 0.62/0.82 apply (zenon_L167_); trivial. % 0.62/0.82 apply (zenon_L134_); trivial. % 0.62/0.82 exact (zenon_H58 zenon_H59). % 0.62/0.82 (* end of lemma zenon_L258_ *) % 0.62/0.82 assert (zenon_L259_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c2_1 (a257)) -> (~(c3_1 (a257))) -> (~(c1_1 (a257))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(hskp24)) -> (c0_1 (a192)) -> (c1_1 (a192)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H202 zenon_H271 zenon_He3 zenon_He2 zenon_He1 zenon_H92 zenon_H243 zenon_H58 zenon_H1eb zenon_H1ec zenon_H105 zenon_H104 zenon_H106 zenon_H1cf zenon_H21d zenon_H21e zenon_H21c zenon_Ha zenon_H1be. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hb | zenon_intro zenon_H203 ]. % 0.62/0.82 apply (zenon_L258_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H7f | zenon_intro zenon_H1f5 ]. % 0.62/0.82 apply (zenon_L167_); trivial. % 0.62/0.82 apply (zenon_L251_); trivial. % 0.62/0.82 (* end of lemma zenon_L259_ *) % 0.62/0.82 assert (zenon_L260_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (~(hskp24)) -> (~(c1_1 (a257))) -> (~(c3_1 (a257))) -> (c2_1 (a257)) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (ndr1_0) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(hskp13)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_Hb0 zenon_H3f zenon_H1cf zenon_H58 zenon_He1 zenon_He2 zenon_He3 zenon_H1eb zenon_H1ec zenon_H271 zenon_Ha zenon_H105 zenon_H104 zenon_H106 zenon_H21c zenon_H21e zenon_H21d zenon_H1be zenon_H243 zenon_H202. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H92 | zenon_intro zenon_H40 ]. % 0.62/0.82 apply (zenon_L259_); trivial. % 0.62/0.82 exact (zenon_H3f zenon_H40). % 0.62/0.82 (* end of lemma zenon_L260_ *) % 0.62/0.82 assert (zenon_L261_ : (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))) -> (ndr1_0) -> (forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41)))))) -> (c2_1 (a210)) -> (c3_1 (a210)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H1b zenon_Ha zenon_H5e zenon_H1f zenon_H1e. % 0.62/0.82 generalize (zenon_H1b (a210)). zenon_intro zenon_H20. % 0.62/0.82 apply (zenon_imply_s _ _ zenon_H20); [ zenon_intro zenon_H9 | zenon_intro zenon_H21 ]. % 0.62/0.82 exact (zenon_H9 zenon_Ha). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ]. % 0.62/0.82 generalize (zenon_H5e (a210)). zenon_intro zenon_H272. % 0.62/0.82 apply (zenon_imply_s _ _ zenon_H272); [ zenon_intro zenon_H9 | zenon_intro zenon_H273 ]. % 0.62/0.82 exact (zenon_H9 zenon_Ha). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H27 | zenon_intro zenon_H22 ]. % 0.62/0.82 exact (zenon_H23 zenon_H27). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H2a | zenon_intro zenon_H28 ]. % 0.62/0.82 exact (zenon_H2a zenon_H1f). % 0.62/0.82 exact (zenon_H28 zenon_H1e). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H2a | zenon_intro zenon_H28 ]. % 0.62/0.82 exact (zenon_H2a zenon_H1f). % 0.62/0.82 exact (zenon_H28 zenon_H1e). % 0.62/0.82 (* end of lemma zenon_L261_ *) % 0.62/0.82 assert (zenon_L262_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a210)) -> (c2_1 (a210)) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (~(hskp13)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H6f zenon_H4d zenon_H4b zenon_H1a6 zenon_H1e zenon_H1f zenon_H21e zenon_H21d zenon_H21c zenon_H1be zenon_H243. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H51 | zenon_intro zenon_H4c ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H5e | zenon_intro zenon_H244 ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.82 apply (zenon_L165_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.82 apply (zenon_L25_); trivial. % 0.62/0.82 apply (zenon_L261_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H238 | zenon_intro zenon_H1bf ]. % 0.62/0.82 apply (zenon_L176_); trivial. % 0.62/0.82 exact (zenon_H1be zenon_H1bf). % 0.62/0.82 exact (zenon_H4b zenon_H4c). % 0.62/0.82 (* end of lemma zenon_L262_ *) % 0.62/0.82 assert (zenon_L263_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a210)) -> (c2_1 (a210)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp5)) -> (~(hskp15)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> False). % 0.62/0.82 do 0 intro. intros zenon_Hf9 zenon_H74 zenon_H4d zenon_H4b zenon_H1a6 zenon_H1e zenon_H1f zenon_H202 zenon_H243 zenon_H1be zenon_H21d zenon_H21e zenon_H21c zenon_H106 zenon_H104 zenon_H105 zenon_H271 zenon_H1ec zenon_H1eb zenon_H1cf zenon_H3f zenon_Hb0 zenon_H2d zenon_H3 zenon_Hce. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.82 apply (zenon_L48_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.82 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.82 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.82 apply (zenon_L260_); trivial. % 0.62/0.82 apply (zenon_L262_); trivial. % 0.62/0.82 (* end of lemma zenon_L263_ *) % 0.62/0.82 assert (zenon_L264_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a210))) -> (c2_1 (a210)) -> (c3_1 (a210)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H274 zenon_Ha zenon_H1d zenon_H1f zenon_H1e. % 0.62/0.82 generalize (zenon_H274 (a210)). zenon_intro zenon_H275. % 0.62/0.82 apply (zenon_imply_s _ _ zenon_H275); [ zenon_intro zenon_H9 | zenon_intro zenon_H276 ]. % 0.62/0.82 exact (zenon_H9 zenon_Ha). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H29 | zenon_intro zenon_H22 ]. % 0.62/0.82 exact (zenon_H1d zenon_H29). % 0.62/0.82 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H2a | zenon_intro zenon_H28 ]. % 0.62/0.82 exact (zenon_H2a zenon_H1f). % 0.62/0.82 exact (zenon_H28 zenon_H1e). % 0.62/0.82 (* end of lemma zenon_L264_ *) % 0.62/0.82 assert (zenon_L265_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (c3_1 (a210)) -> (c2_1 (a210)) -> (~(c1_1 (a210))) -> (~(hskp5)) -> (~(hskp23)) -> (c0_1 (a200)) -> (c3_1 (a200)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (ndr1_0) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H277 zenon_H1e zenon_H1f zenon_H1d zenon_H2d zenon_H2b zenon_H164 zenon_H165 zenon_H2f zenon_Ha zenon_H1ea zenon_H1eb zenon_H1ec. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H274 | zenon_intro zenon_H278 ]. % 0.62/0.82 apply (zenon_L264_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1ae | zenon_intro zenon_H18d ]. % 0.62/0.82 apply (zenon_L147_); trivial. % 0.62/0.82 apply (zenon_L125_); trivial. % 0.62/0.82 (* end of lemma zenon_L265_ *) % 0.62/0.82 assert (zenon_L266_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (c3_1 (a210)) -> (c2_1 (a210)) -> (~(c1_1 (a210))) -> (c3_1 (a200)) -> (c0_1 (a200)) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))) -> (ndr1_0) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> False). % 0.62/0.82 do 0 intro. intros zenon_H277 zenon_H1e zenon_H1f zenon_H1d zenon_H165 zenon_H164 zenon_H1b zenon_Ha zenon_H1ea zenon_H1eb zenon_H1ec. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H274 | zenon_intro zenon_H278 ]. % 0.62/0.82 apply (zenon_L264_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1ae | zenon_intro zenon_H18d ]. % 0.62/0.82 apply (zenon_L146_); trivial. % 0.62/0.82 apply (zenon_L125_); trivial. % 0.62/0.82 (* end of lemma zenon_L266_ *) % 0.62/0.82 assert (zenon_L267_ : ((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a200)) -> (c0_1 (a200)) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_Ha8 zenon_H48 zenon_H23e zenon_H4b zenon_H21c zenon_H21d zenon_H21e zenon_H1a6 zenon_H2f zenon_H2d zenon_H165 zenon_H164 zenon_H1ea zenon_H1eb zenon_H1ec zenon_H277. % 0.62/0.82 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.62/0.82 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H1f. zenon_intro zenon_Haa. % 0.62/0.82 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.82 apply (zenon_L265_); trivial. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H51 | zenon_intro zenon_H23f ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.82 apply (zenon_L165_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.82 apply (zenon_L16_); trivial. % 0.62/0.82 apply (zenon_L266_); trivial. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H2e | zenon_intro zenon_H4c ]. % 0.62/0.82 exact (zenon_H2d zenon_H2e). % 0.62/0.82 exact (zenon_H4b zenon_H4c). % 0.62/0.82 (* end of lemma zenon_L267_ *) % 0.62/0.82 assert (zenon_L268_ : ((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> ((hskp14)\/((hskp15)\/(hskp12))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> (~(c3_1 (a192))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> False). % 0.62/0.82 do 0 intro. intros zenon_H16c zenon_Hae zenon_Hb1 zenon_H48 zenon_H23e zenon_H2f zenon_H2d zenon_H277 zenon_H7 zenon_Hb0 zenon_H3f zenon_H21e zenon_H21d zenon_H21c zenon_H243 zenon_H105 zenon_H104 zenon_H106 zenon_H1eb zenon_H1ec zenon_H1cf zenon_H202 zenon_H1f3 zenon_H1ea zenon_H1a6 zenon_H4b zenon_H4d zenon_H74 zenon_Haf zenon_H156 zenon_H1e4. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.82 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.82 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H1 | zenon_intro zenon_Ha8 ]. % 0.62/0.82 apply (zenon_L256_); trivial. % 0.62/0.82 apply (zenon_L267_); trivial. % 0.62/0.82 apply (zenon_L199_); trivial. % 0.62/0.82 apply (zenon_L39_); trivial. % 0.62/0.82 (* end of lemma zenon_L268_ *) % 0.62/0.82 assert (zenon_L269_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/(hskp23))) -> (~(hskp13)) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c1_1 (a197)) -> (~(c2_1 (a197))) -> (~(c0_1 (a197))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H279 zenon_H1be zenon_H21c zenon_H21e zenon_H21d zenon_H1cf zenon_H106 zenon_H104 zenon_H105 zenon_H1ec zenon_H1eb zenon_H58 zenon_H243 zenon_Hc zenon_Hd zenon_He zenon_H202 zenon_H24d zenon_H24c zenon_H24b zenon_Ha zenon_H2b. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H92 | zenon_intro zenon_H27a ]. % 0.62/0.83 apply (zenon_L252_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H24a | zenon_intro zenon_H2c ]. % 0.62/0.83 apply (zenon_L200_); trivial. % 0.62/0.83 exact (zenon_H2b zenon_H2c). % 0.62/0.83 (* end of lemma zenon_L269_ *) % 0.62/0.83 assert (zenon_L270_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c3_1 (a192))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (~(hskp13)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (ndr1_0) -> (~(c0_1 (a197))) -> (~(c2_1 (a197))) -> (c1_1 (a197)) -> (~(hskp23)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/(hskp23))) -> False). % 0.62/0.83 do 0 intro. intros zenon_H74 zenon_H4d zenon_H4b zenon_H1a6 zenon_H1ea zenon_H5 zenon_H1f3 zenon_H202 zenon_H1cf zenon_H1ec zenon_H1eb zenon_H106 zenon_H104 zenon_H105 zenon_H1be zenon_H243 zenon_H21c zenon_H21d zenon_H21e zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H24b zenon_H24c zenon_H24d zenon_H2b zenon_H279. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.83 apply (zenon_L269_); trivial. % 0.62/0.83 apply (zenon_L254_); trivial. % 0.62/0.83 (* end of lemma zenon_L270_ *) % 0.62/0.83 assert (zenon_L271_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a189)) -> (c1_1 (a189)) -> (c0_1 (a189)) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> False). % 0.62/0.83 do 0 intro. intros zenon_H6f zenon_H4d zenon_H4b zenon_H1a6 zenon_H38 zenon_H37 zenon_H36 zenon_H21e zenon_H21d zenon_H21c zenon_H1ea zenon_H1eb zenon_H1ec zenon_H5 zenon_H1f3. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H51 | zenon_intro zenon_H4c ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H91 | zenon_intro zenon_H1f4 ]. % 0.62/0.83 apply (zenon_L185_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H18d | zenon_intro zenon_H6 ]. % 0.62/0.83 apply (zenon_L125_); trivial. % 0.62/0.83 exact (zenon_H5 zenon_H6). % 0.62/0.83 exact (zenon_H4b zenon_H4c). % 0.62/0.83 (* end of lemma zenon_L271_ *) % 0.62/0.83 assert (zenon_L272_ : ((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c3_1 (a192))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (~(hskp13)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H43 zenon_H74 zenon_H4d zenon_H4b zenon_H1a6 zenon_H1ea zenon_H5 zenon_H1f3 zenon_H202 zenon_H1cf zenon_H1ec zenon_H1eb zenon_H106 zenon_H104 zenon_H105 zenon_H1be zenon_H243 zenon_H21c zenon_H21d zenon_H21e zenon_He zenon_Hd zenon_Hc zenon_H3f zenon_Hb0. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.83 apply (zenon_L253_); trivial. % 0.62/0.83 apply (zenon_L271_); trivial. % 0.62/0.83 (* end of lemma zenon_L272_ *) % 0.62/0.83 assert (zenon_L273_ : ((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/(hskp23))) -> (c1_1 (a197)) -> (~(c2_1 (a197))) -> (~(c0_1 (a197))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a192))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Hb2 zenon_H48 zenon_H3f zenon_Hb0 zenon_H279 zenon_H24d zenon_H24c zenon_H24b zenon_H21e zenon_H21d zenon_H21c zenon_H243 zenon_H1be zenon_H105 zenon_H104 zenon_H106 zenon_H1eb zenon_H1ec zenon_H1cf zenon_H202 zenon_H1f3 zenon_H5 zenon_H1ea zenon_H1a6 zenon_H4b zenon_H4d zenon_H74. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.83 apply (zenon_L270_); trivial. % 0.62/0.83 apply (zenon_L272_); trivial. % 0.62/0.83 (* end of lemma zenon_L273_ *) % 0.62/0.83 assert (zenon_L274_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> (~(c3_1 (a192))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/(hskp15))) -> (c1_1 (a197)) -> (~(c0_1 (a197))) -> (~(c2_1 (a197))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (ndr1_0) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Hae zenon_Haf zenon_H48 zenon_H3f zenon_Hb0 zenon_H279 zenon_H243 zenon_H105 zenon_H104 zenon_H106 zenon_H1eb zenon_H1ec zenon_H1cf zenon_H202 zenon_H1f3 zenon_H1ea zenon_H1a6 zenon_H4b zenon_H4d zenon_H74 zenon_H25e zenon_H24d zenon_H24b zenon_H24c zenon_H21d zenon_H21e zenon_H21c zenon_Ha zenon_H89 zenon_H245 zenon_H1e4. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.83 apply (zenon_L207_); trivial. % 0.62/0.83 apply (zenon_L273_); trivial. % 0.62/0.83 apply (zenon_L188_); trivial. % 0.62/0.83 apply (zenon_L39_); trivial. % 0.62/0.83 (* end of lemma zenon_L274_ *) % 0.62/0.83 assert (zenon_L275_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c3_1 (a192))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (~(hskp13)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (ndr1_0) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H48 zenon_H74 zenon_H1a6 zenon_H1ea zenon_H5 zenon_H1f3 zenon_H202 zenon_H1cf zenon_H1ec zenon_H1eb zenon_H106 zenon_H104 zenon_H105 zenon_H1be zenon_H243 zenon_He zenon_Hd zenon_Hc zenon_H3f zenon_Hb0 zenon_Hcc zenon_Hca zenon_H21e zenon_H21d zenon_H21c zenon_Ha zenon_H4b zenon_H4d. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.83 apply (zenon_L173_); trivial. % 0.62/0.83 apply (zenon_L272_); trivial. % 0.62/0.83 (* end of lemma zenon_L275_ *) % 0.62/0.83 assert (zenon_L276_ : ((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a192))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Hb2 zenon_Hfc zenon_H23b zenon_Hb7 zenon_Hb5 zenon_H9b zenon_H1b6 zenon_H4d zenon_H4b zenon_H21c zenon_H21d zenon_H21e zenon_Hcc zenon_Hb0 zenon_H3f zenon_H243 zenon_H1be zenon_H105 zenon_H104 zenon_H106 zenon_H1eb zenon_H1ec zenon_H1cf zenon_H202 zenon_H1f3 zenon_H5 zenon_H1ea zenon_H1a6 zenon_H74 zenon_H48. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.83 apply (zenon_L275_); trivial. % 0.62/0.83 apply (zenon_L211_); trivial. % 0.62/0.83 (* end of lemma zenon_L276_ *) % 0.62/0.83 assert (zenon_L277_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(hskp13)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> (~(c3_1 (a192))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp14)\/((hskp15)\/(hskp12))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Haf zenon_Hfc zenon_H23b zenon_Hb7 zenon_Hb5 zenon_H9b zenon_H1b6 zenon_H4d zenon_H4b zenon_H21c zenon_H21d zenon_H21e zenon_Hcc zenon_Hb0 zenon_H3f zenon_H243 zenon_H1be zenon_H105 zenon_H104 zenon_H106 zenon_H1eb zenon_H1ec zenon_H1cf zenon_H202 zenon_H1f3 zenon_H1ea zenon_H1a6 zenon_H74 zenon_H48 zenon_H1 zenon_H5 zenon_H7. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.83 apply (zenon_L4_); trivial. % 0.62/0.83 apply (zenon_L276_); trivial. % 0.62/0.83 (* end of lemma zenon_L277_ *) % 0.62/0.83 assert (zenon_L278_ : ((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> ((hskp14)\/((hskp15)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c3_1 (a192))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a198)) -> (~(c2_1 (a198))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_H16c zenon_Hae zenon_Hb1 zenon_H23e zenon_H2f zenon_H2d zenon_H277 zenon_H7 zenon_H48 zenon_H74 zenon_H1a6 zenon_H1ea zenon_H1f3 zenon_H202 zenon_H1cf zenon_H1ec zenon_H1eb zenon_H106 zenon_H104 zenon_H105 zenon_H243 zenon_H3f zenon_Hb0 zenon_Hcc zenon_H21e zenon_H21d zenon_H21c zenon_H4b zenon_H4d zenon_H1b6 zenon_H9b zenon_Hb5 zenon_Hb7 zenon_H23b zenon_Hfc zenon_Haf zenon_H156 zenon_H1e4. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H1 | zenon_intro zenon_Ha8 ]. % 0.62/0.83 apply (zenon_L277_); trivial. % 0.62/0.83 apply (zenon_L267_); trivial. % 0.62/0.83 apply (zenon_L199_); trivial. % 0.62/0.83 apply (zenon_L39_); trivial. % 0.62/0.83 (* end of lemma zenon_L278_ *) % 0.62/0.83 assert (zenon_L279_ : ((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (~(hskp13)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> False). % 0.62/0.83 do 0 intro. intros zenon_Hb2 zenon_H74 zenon_H245 zenon_H89 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1a6 zenon_H202 zenon_H1cf zenon_H1ec zenon_H1eb zenon_H106 zenon_H104 zenon_H105 zenon_H1be zenon_H243 zenon_H21c zenon_H21d zenon_H21e zenon_H3f zenon_Hb0. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.83 apply (zenon_L253_); trivial. % 0.62/0.83 apply (zenon_L223_); trivial. % 0.62/0.83 (* end of lemma zenon_L279_ *) % 0.62/0.83 assert (zenon_L280_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a200))) -> (forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))) -> (c3_1 (a200)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H274 zenon_Ha zenon_H163 zenon_H10d zenon_H165. % 0.62/0.83 generalize (zenon_H274 (a200)). zenon_intro zenon_H27b. % 0.62/0.83 apply (zenon_imply_s _ _ zenon_H27b); [ zenon_intro zenon_H9 | zenon_intro zenon_H27c ]. % 0.62/0.83 exact (zenon_H9 zenon_Ha). % 0.62/0.83 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H169 | zenon_intro zenon_H20f ]. % 0.62/0.83 exact (zenon_H163 zenon_H169). % 0.62/0.83 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H210 | zenon_intro zenon_H16a ]. % 0.62/0.83 generalize (zenon_H10d (a200)). zenon_intro zenon_H27d. % 0.62/0.83 apply (zenon_imply_s _ _ zenon_H27d); [ zenon_intro zenon_H9 | zenon_intro zenon_H27e ]. % 0.62/0.83 exact (zenon_H9 zenon_Ha). % 0.62/0.83 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H169 | zenon_intro zenon_H27f ]. % 0.62/0.83 exact (zenon_H163 zenon_H169). % 0.62/0.83 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H20c | zenon_intro zenon_H16a ]. % 0.62/0.83 exact (zenon_H210 zenon_H20c). % 0.62/0.83 exact (zenon_H16a zenon_H165). % 0.62/0.83 exact (zenon_H16a zenon_H165). % 0.62/0.83 (* end of lemma zenon_L280_ *) % 0.62/0.83 assert (zenon_L281_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c0_1 (a189)) -> (c1_1 (a189)) -> (c3_1 (a189)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/(hskp14))) -> (c0_1 (a200)) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (~(hskp14)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H6f zenon_H117 zenon_H156 zenon_H106 zenon_H105 zenon_H104 zenon_H36 zenon_H37 zenon_H38 zenon_H280 zenon_H164 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1a6 zenon_H165 zenon_H163 zenon_H1. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H103 | zenon_intro zenon_H118 ]. % 0.62/0.83 apply (zenon_L59_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H91 | zenon_intro zenon_H10d ]. % 0.62/0.83 apply (zenon_L155_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.83 apply (zenon_L59_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.83 apply (zenon_L115_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H5e | zenon_intro zenon_H281 ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.83 apply (zenon_L44_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.83 apply (zenon_L25_); trivial. % 0.62/0.83 apply (zenon_L192_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H274 | zenon_intro zenon_H2 ]. % 0.62/0.83 apply (zenon_L280_); trivial. % 0.62/0.83 exact (zenon_H1 zenon_H2). % 0.62/0.83 (* end of lemma zenon_L281_ *) % 0.62/0.83 assert (zenon_L282_ : ((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a200)) -> (~(c1_1 (a200))) -> (c3_1 (a200)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp16)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Hf5 zenon_H48 zenon_H74 zenon_H117 zenon_H280 zenon_H1 zenon_H164 zenon_H163 zenon_H165 zenon_H156 zenon_H106 zenon_H105 zenon_H104 zenon_H1cf zenon_H1a6 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hca zenon_Hcc. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.83 apply (zenon_L46_); trivial. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.83 apply (zenon_L232_); trivial. % 0.62/0.83 apply (zenon_L281_); trivial. % 0.62/0.83 (* end of lemma zenon_L282_ *) % 0.62/0.83 assert (zenon_L283_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(c2_1 (a221))) -> (~(c1_1 (a221))) -> (~(c0_1 (a221))) -> (~(hskp14)) -> (~(c1_1 (a200))) -> (c3_1 (a200)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (c0_1 (a200)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/(hskp14))) -> (c3_1 (a189)) -> (c1_1 (a189)) -> (c0_1 (a189)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (c2_1 (a199)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> (~(hskp0)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H6f zenon_H1b6 zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_H1 zenon_H163 zenon_H165 zenon_H1a6 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H164 zenon_H280 zenon_H38 zenon_H37 zenon_H36 zenon_H104 zenon_H105 zenon_H106 zenon_H117 zenon_H9b. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b7 ]. % 0.62/0.83 apply (zenon_L102_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1ae | zenon_intro zenon_H9c ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H103 | zenon_intro zenon_H118 ]. % 0.62/0.83 apply (zenon_L59_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H91 | zenon_intro zenon_H10d ]. % 0.62/0.83 apply (zenon_L155_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H5e | zenon_intro zenon_H281 ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.83 apply (zenon_L44_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.83 apply (zenon_L25_); trivial. % 0.62/0.83 apply (zenon_L146_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H274 | zenon_intro zenon_H2 ]. % 0.62/0.83 apply (zenon_L280_); trivial. % 0.62/0.83 exact (zenon_H1 zenon_H2). % 0.62/0.83 exact (zenon_H9b zenon_H9c). % 0.62/0.83 (* end of lemma zenon_L283_ *) % 0.62/0.83 assert (zenon_L284_ : ((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (c2_1 (a199)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a200))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a221))) -> (~(c1_1 (a221))) -> (~(c2_1 (a221))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a200)) -> (c0_1 (a200)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Hf5 zenon_H48 zenon_H74 zenon_H104 zenon_H105 zenon_H106 zenon_H280 zenon_H1 zenon_H163 zenon_H117 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1cf zenon_H1a6 zenon_Hd2 zenon_Hd3 zenon_Hd4 zenon_H2f zenon_H2d zenon_H165 zenon_H164 zenon_H9b zenon_H1b6. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.83 apply (zenon_L148_); trivial. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.83 apply (zenon_L232_); trivial. % 0.62/0.83 apply (zenon_L283_); trivial. % 0.62/0.83 (* end of lemma zenon_L284_ *) % 0.62/0.83 assert (zenon_L285_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp15)) -> (~(hskp5)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (c2_1 (a199)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (~(hskp14)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Hfc zenon_H2f zenon_H9b zenon_H1b6 zenon_Hce zenon_H3 zenon_H2d zenon_Hcc zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H1a6 zenon_H1cf zenon_H104 zenon_H105 zenon_H106 zenon_H156 zenon_H165 zenon_H163 zenon_H164 zenon_H1 zenon_H280 zenon_H117 zenon_H74 zenon_H48 zenon_Hf9. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.83 apply (zenon_L48_); trivial. % 0.62/0.83 apply (zenon_L282_); trivial. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Ha. zenon_intro zenon_Hfa. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hd2. zenon_intro zenon_Hfb. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.83 apply (zenon_L48_); trivial. % 0.62/0.83 apply (zenon_L284_); trivial. % 0.62/0.83 (* end of lemma zenon_L285_ *) % 0.62/0.83 assert (zenon_L286_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (ndr1_0) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> (~(c1_1 (a200))) -> (c3_1 (a200)) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1))) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> (c0_1 (a192)) -> (c1_1 (a192)) -> (~(hskp24)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Hb0 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H21e zenon_H21d zenon_H21c zenon_H280 zenon_H1 zenon_H163 zenon_H165 zenon_H3f zenon_H22f zenon_H105 zenon_H104 zenon_H106 zenon_H1eb zenon_H1ec zenon_H58 zenon_H1cf zenon_H202. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H92 | zenon_intro zenon_H40 ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hb | zenon_intro zenon_H203 ]. % 0.62/0.83 apply (zenon_L6_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H7f | zenon_intro zenon_H1f5 ]. % 0.62/0.83 apply (zenon_L167_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H5e | zenon_intro zenon_H281 ]. % 0.62/0.83 apply (zenon_L250_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H274 | zenon_intro zenon_H2 ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H10d | zenon_intro zenon_H230 ]. % 0.62/0.83 apply (zenon_L280_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H7f | zenon_intro zenon_H40 ]. % 0.62/0.83 apply (zenon_L167_); trivial. % 0.62/0.83 exact (zenon_H3f zenon_H40). % 0.62/0.83 exact (zenon_H1 zenon_H2). % 0.62/0.83 exact (zenon_H3f zenon_H40). % 0.62/0.83 (* end of lemma zenon_L286_ *) % 0.62/0.83 assert (zenon_L287_ : ((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (c3_1 (a210)) -> (c2_1 (a210)) -> (~(c1_1 (a210))) -> (c3_1 (a200)) -> (c0_1 (a200)) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H43 zenon_H1a6 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H277 zenon_H1e zenon_H1f zenon_H1d zenon_H165 zenon_H164 zenon_H1ea zenon_H1eb zenon_H1ec. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.83 apply (zenon_L44_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.83 apply (zenon_L16_); trivial. % 0.62/0.83 apply (zenon_L266_); trivial. % 0.62/0.83 (* end of lemma zenon_L287_ *) % 0.62/0.83 assert (zenon_L288_ : ((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a200)) -> (c0_1 (a200)) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Ha8 zenon_H48 zenon_H1a6 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H2f zenon_H2d zenon_H165 zenon_H164 zenon_H1ea zenon_H1eb zenon_H1ec zenon_H277. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H1f. zenon_intro zenon_Haa. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.83 apply (zenon_L265_); trivial. % 0.62/0.83 apply (zenon_L287_); trivial. % 0.62/0.83 (* end of lemma zenon_L288_ *) % 0.62/0.83 assert (zenon_L289_ : ((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210))))))) -> (~(c3_1 (a192))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp5)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (c2_1 (a199)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_H16c zenon_Hb1 zenon_H1ea zenon_H277 zenon_Hfc zenon_H2f zenon_H9b zenon_H1b6 zenon_Hce zenon_H2d zenon_Hcc zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H1a6 zenon_H1cf zenon_H104 zenon_H105 zenon_H106 zenon_H156 zenon_H280 zenon_H117 zenon_H74 zenon_H48 zenon_Hf9 zenon_H202 zenon_H1ec zenon_H1eb zenon_H22f zenon_H3f zenon_H21c zenon_H21d zenon_H21e zenon_Hb0 zenon_Haf. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H1 | zenon_intro zenon_Ha8 ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.83 apply (zenon_L285_); trivial. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.83 apply (zenon_L46_); trivial. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.83 apply (zenon_L286_); trivial. % 0.62/0.83 apply (zenon_L281_); trivial. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Ha. zenon_intro zenon_Hfa. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hd2. zenon_intro zenon_Hfb. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.83 apply (zenon_L148_); trivial. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.83 apply (zenon_L286_); trivial. % 0.62/0.83 apply (zenon_L283_); trivial. % 0.62/0.83 apply (zenon_L288_); trivial. % 0.62/0.83 (* end of lemma zenon_L289_ *) % 0.62/0.83 assert (zenon_L290_ : ((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp13))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (~(hskp13)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H119 zenon_H1c0 zenon_H1ec zenon_H1eb zenon_H1ea zenon_H1be. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11a. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H110. zenon_intro zenon_H11b. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H10d | zenon_intro zenon_H1c1 ]. % 0.62/0.83 apply (zenon_L60_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H18d | zenon_intro zenon_H1bf ]. % 0.62/0.83 apply (zenon_L125_); trivial. % 0.62/0.83 exact (zenon_H1be zenon_H1bf). % 0.62/0.83 (* end of lemma zenon_L290_ *) % 0.62/0.83 assert (zenon_L291_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (ndr1_0) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp17)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> False). % 0.62/0.83 do 0 intro. intros zenon_H1c3 zenon_H1c0 zenon_H1be zenon_H1ec zenon_H1eb zenon_H1ea zenon_Ha zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hfd zenon_H101. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hff | zenon_intro zenon_H119 ]. % 0.62/0.83 apply (zenon_L58_); trivial. % 0.62/0.83 apply (zenon_L290_); trivial. % 0.62/0.83 (* end of lemma zenon_L291_ *) % 0.62/0.83 assert (zenon_L292_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> (~(hskp16)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (ndr1_0) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_H1c2 zenon_H48 zenon_H214 zenon_H82 zenon_H81 zenon_H80 zenon_Hca zenon_Hcc zenon_H101 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_Ha zenon_H1ea zenon_H1eb zenon_H1ec zenon_H1be zenon_H1c0 zenon_H1c3. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.62/0.83 apply (zenon_L291_); trivial. % 0.62/0.83 apply (zenon_L219_); trivial. % 0.62/0.83 (* end of lemma zenon_L292_ *) % 0.62/0.83 assert (zenon_L293_ : ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> (c2_1 (a222)) -> (c1_1 (a222)) -> (~(c3_1 (a222))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H214 zenon_H82 zenon_H81 zenon_H80 zenon_H127 zenon_H126 zenon_H124 zenon_Ha zenon_H75 zenon_Hb7 zenon_Hb5 zenon_Hb6. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H7f | zenon_intro zenon_H215 ]. % 0.62/0.83 apply (zenon_L30_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H211 | zenon_intro zenon_H35 ]. % 0.62/0.83 apply (zenon_L149_); trivial. % 0.62/0.83 apply (zenon_L233_); trivial. % 0.62/0.83 (* end of lemma zenon_L293_ *) % 0.62/0.83 assert (zenon_L294_ : ((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c2_1 (a221))) -> (~(c1_1 (a221))) -> (~(c0_1 (a221))) -> (c1_1 (a198)) -> (c3_1 (a198)) -> (~(c2_1 (a198))) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> False). % 0.62/0.83 do 0 intro. intros zenon_H145 zenon_H23b zenon_Hd4 zenon_Hd3 zenon_Hd2 zenon_Hb6 zenon_Hb5 zenon_Hb7 zenon_H80 zenon_H81 zenon_H82 zenon_H214 zenon_H21c zenon_H21e zenon_H21d. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_Ha. zenon_intro zenon_H147. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H126. zenon_intro zenon_H148. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H127. zenon_intro zenon_H124. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1aa | zenon_intro zenon_H23c ]. % 0.62/0.83 apply (zenon_L102_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H75 | zenon_intro zenon_H238 ]. % 0.62/0.83 apply (zenon_L293_); trivial. % 0.62/0.83 apply (zenon_L176_); trivial. % 0.62/0.83 (* end of lemma zenon_L294_ *) % 0.62/0.83 assert (zenon_L295_ : ((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> (~(hskp13)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Hf8 zenon_H1c2 zenon_H23b zenon_H21d zenon_H21e zenon_H21c zenon_H80 zenon_H81 zenon_H82 zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_H214 zenon_H101 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H1ea zenon_H1eb zenon_H1ec zenon_H1be zenon_H1c0 zenon_H1c3. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Ha. zenon_intro zenon_Hfa. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hd2. zenon_intro zenon_Hfb. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.62/0.83 apply (zenon_L291_); trivial. % 0.62/0.83 apply (zenon_L294_); trivial. % 0.62/0.83 (* end of lemma zenon_L295_ *) % 0.62/0.83 assert (zenon_L296_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (ndr1_0) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Hfc zenon_H23b zenon_H21d zenon_H21e zenon_H21c zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_H1c3 zenon_H1c0 zenon_H1be zenon_H1ec zenon_H1eb zenon_H1ea zenon_Ha zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H101 zenon_Hcc zenon_H80 zenon_H81 zenon_H82 zenon_H214 zenon_H48 zenon_H1c2. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.83 apply (zenon_L292_); trivial. % 0.62/0.83 apply (zenon_L295_); trivial. % 0.62/0.83 (* end of lemma zenon_L296_ *) % 0.62/0.83 assert (zenon_L297_ : ((ndr1_0)/\((c0_1 (a202))/\((~(c2_1 (a202)))/\(~(c3_1 (a202)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> (c1_1 (a198)) -> (c3_1 (a198)) -> (~(c2_1 (a198))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221))))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_H204 zenon_H1e4 zenon_H245 zenon_H89 zenon_H1c2 zenon_H48 zenon_H214 zenon_Hcc zenon_H101 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H1ea zenon_H1eb zenon_H1ec zenon_H1c0 zenon_H1c3 zenon_Hb6 zenon_Hb5 zenon_Hb7 zenon_H21c zenon_H21e zenon_H21d zenon_H23b zenon_Hfc. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H205. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H82. zenon_intro zenon_H206. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H80. zenon_intro zenon_H81. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.83 apply (zenon_L296_); trivial. % 0.62/0.83 apply (zenon_L188_); trivial. % 0.62/0.83 (* end of lemma zenon_L297_ *) % 0.62/0.83 assert (zenon_L298_ : ((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c2_1 (a257)) -> (~(c3_1 (a257))) -> (~(c1_1 (a257))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_H43 zenon_H74 zenon_H245 zenon_H89 zenon_H21d zenon_H21e zenon_H21c zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1cf zenon_He3 zenon_He2 zenon_He1 zenon_H1a6. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.83 apply (zenon_L232_); trivial. % 0.62/0.83 apply (zenon_L223_); trivial. % 0.62/0.83 (* end of lemma zenon_L298_ *) % 0.62/0.83 assert (zenon_L299_ : ((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp16)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Hf5 zenon_H48 zenon_H74 zenon_H245 zenon_H89 zenon_H21d zenon_H21e zenon_H21c zenon_H1cf zenon_H1a6 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hca zenon_Hcc. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.83 apply (zenon_L46_); trivial. % 0.62/0.83 apply (zenon_L298_); trivial. % 0.62/0.83 (* end of lemma zenon_L299_ *) % 0.62/0.83 assert (zenon_L300_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp16)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (~(hskp5)) -> (~(hskp15)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Hf9 zenon_H48 zenon_H74 zenon_H245 zenon_H89 zenon_H21d zenon_H21e zenon_H21c zenon_H1cf zenon_H1a6 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hca zenon_Hcc zenon_H2d zenon_H3 zenon_Hce. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.83 apply (zenon_L48_); trivial. % 0.62/0.83 apply (zenon_L299_); trivial. % 0.62/0.83 (* end of lemma zenon_L300_ *) % 0.62/0.83 assert (zenon_L301_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp15)) -> (~(hskp5)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Hfc zenon_H23b zenon_Hb7 zenon_Hb5 zenon_H9b zenon_H1b6 zenon_Hce zenon_H3 zenon_H2d zenon_Hcc zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H1a6 zenon_H1cf zenon_H21c zenon_H21e zenon_H21d zenon_H89 zenon_H245 zenon_H74 zenon_H48 zenon_Hf9. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.83 apply (zenon_L300_); trivial. % 0.62/0.83 apply (zenon_L211_); trivial. % 0.62/0.83 (* end of lemma zenon_L301_ *) % 0.62/0.83 assert (zenon_L302_ : ((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c0_1 (a200)) -> (c1_1 (a198)) -> (c3_1 (a198)) -> (~(c2_1 (a198))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (~(hskp14)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/(hskp14))) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H43 zenon_H74 zenon_H156 zenon_H164 zenon_Hb6 zenon_Hb5 zenon_Hb7 zenon_H26a zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1a6 zenon_H202 zenon_H1cf zenon_H1ec zenon_H1eb zenon_H106 zenon_H104 zenon_H105 zenon_H22f zenon_H3f zenon_H165 zenon_H163 zenon_H1 zenon_H280 zenon_H21c zenon_H21d zenon_H21e zenon_He zenon_Hd zenon_Hc zenon_Hb0. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.83 apply (zenon_L286_); trivial. % 0.62/0.83 apply (zenon_L240_); trivial. % 0.62/0.83 (* end of lemma zenon_L302_ *) % 0.62/0.83 assert (zenon_L303_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (c3_1 (a210)) -> (c2_1 (a210)) -> (~(c1_1 (a210))) -> (c3_1 (a198)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c2_1 (a198))) -> (ndr1_0) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H277 zenon_H1e zenon_H1f zenon_H1d zenon_Hb5 zenon_H75 zenon_Hb7 zenon_Ha zenon_H1ea zenon_H1eb zenon_H1ec. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H274 | zenon_intro zenon_H278 ]. % 0.62/0.83 apply (zenon_L264_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1ae | zenon_intro zenon_H18d ]. % 0.62/0.83 apply (zenon_L210_); trivial. % 0.62/0.83 apply (zenon_L125_); trivial. % 0.62/0.83 (* end of lemma zenon_L303_ *) % 0.62/0.83 assert (zenon_L304_ : ((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (~(c1_1 (a210))) -> (c2_1 (a210)) -> (c3_1 (a210)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Hf8 zenon_H23b zenon_H1ec zenon_H1eb zenon_H1ea zenon_Hb7 zenon_Hb5 zenon_H1d zenon_H1f zenon_H1e zenon_H277 zenon_H21c zenon_H21e zenon_H21d. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Ha. zenon_intro zenon_Hfa. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hd2. zenon_intro zenon_Hfb. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1aa | zenon_intro zenon_H23c ]. % 0.62/0.83 apply (zenon_L102_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H75 | zenon_intro zenon_H238 ]. % 0.62/0.83 apply (zenon_L303_); trivial. % 0.62/0.83 apply (zenon_L176_); trivial. % 0.62/0.83 (* end of lemma zenon_L304_ *) % 0.62/0.83 assert (zenon_L305_ : ((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210)))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (c3_1 (a200)) -> (c0_1 (a200)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Ha8 zenon_Hfc zenon_H23b zenon_H21d zenon_H21e zenon_H21c zenon_Hb7 zenon_Hb5 zenon_Hcc zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H277 zenon_H1ec zenon_H1eb zenon_H1ea zenon_H165 zenon_H164 zenon_H1a6 zenon_H48. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H1f. zenon_intro zenon_Haa. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.83 apply (zenon_L46_); trivial. % 0.62/0.83 apply (zenon_L287_); trivial. % 0.62/0.83 apply (zenon_L304_); trivial. % 0.62/0.83 (* end of lemma zenon_L305_ *) % 0.62/0.83 assert (zenon_L306_ : ((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (~(c3_1 (a192))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/(hskp14))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> (c1_1 (a198)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (c3_1 (a198)) -> (~(c2_1 (a198))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_H1e7 zenon_H1e3 zenon_Hb1 zenon_H277 zenon_H1ea zenon_H2f zenon_H156 zenon_H280 zenon_H117 zenon_Hb6 zenon_H26a zenon_H22f zenon_Haf zenon_H202 zenon_H1ec zenon_H1eb zenon_H243 zenon_H3f zenon_Hb0 zenon_Hf9 zenon_H48 zenon_H74 zenon_H245 zenon_H21d zenon_H21e zenon_H21c zenon_H1cf zenon_H1a6 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hcc zenon_H2d zenon_Hce zenon_H1b6 zenon_H9b zenon_Hb5 zenon_Hb7 zenon_H23b zenon_Hfc zenon_H1e4. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.83 apply (zenon_L301_); trivial. % 0.62/0.83 apply (zenon_L279_); trivial. % 0.62/0.83 apply (zenon_L188_); trivial. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H1 | zenon_intro zenon_Ha8 ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.83 apply (zenon_L285_); trivial. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.83 apply (zenon_L46_); trivial. % 0.62/0.83 apply (zenon_L302_); trivial. % 0.62/0.83 apply (zenon_L211_); trivial. % 0.62/0.83 apply (zenon_L305_); trivial. % 0.62/0.83 (* end of lemma zenon_L306_ *) % 0.62/0.83 assert (zenon_L307_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(hskp24)) -> (~(c1_1 (a210))) -> (c3_1 (a210)) -> (c2_1 (a210)) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H243 zenon_H58 zenon_H1d zenon_H1e zenon_H1f zenon_H14d zenon_H14e zenon_H14f zenon_H158 zenon_H21d zenon_H21e zenon_H21c zenon_Ha zenon_H1be. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H5e | zenon_intro zenon_H244 ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14c | zenon_intro zenon_H159 ]. % 0.62/0.83 apply (zenon_L73_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H15a | zenon_intro zenon_H59 ]. % 0.62/0.83 generalize (zenon_H5e (a210)). zenon_intro zenon_H272. % 0.62/0.83 apply (zenon_imply_s _ _ zenon_H272); [ zenon_intro zenon_H9 | zenon_intro zenon_H273 ]. % 0.62/0.83 exact (zenon_H9 zenon_Ha). % 0.62/0.83 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H27 | zenon_intro zenon_H22 ]. % 0.62/0.83 generalize (zenon_H15a (a210)). zenon_intro zenon_H282. % 0.62/0.83 apply (zenon_imply_s _ _ zenon_H282); [ zenon_intro zenon_H9 | zenon_intro zenon_H283 ]. % 0.62/0.83 exact (zenon_H9 zenon_Ha). % 0.62/0.83 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H29 | zenon_intro zenon_H284 ]. % 0.62/0.83 exact (zenon_H1d zenon_H29). % 0.62/0.83 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H23 | zenon_intro zenon_H28 ]. % 0.62/0.83 exact (zenon_H23 zenon_H27). % 0.62/0.83 exact (zenon_H28 zenon_H1e). % 0.62/0.83 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H2a | zenon_intro zenon_H28 ]. % 0.62/0.83 exact (zenon_H2a zenon_H1f). % 0.62/0.83 exact (zenon_H28 zenon_H1e). % 0.62/0.83 exact (zenon_H58 zenon_H59). % 0.62/0.83 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H238 | zenon_intro zenon_H1bf ]. % 0.62/0.83 apply (zenon_L176_); trivial. % 0.62/0.83 exact (zenon_H1be zenon_H1bf). % 0.62/0.83 (* end of lemma zenon_L307_ *) % 0.62/0.83 assert (zenon_L308_ : ((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(hskp13)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Ha8 zenon_H74 zenon_H4d zenon_H4b zenon_H1a6 zenon_H158 zenon_H14f zenon_H14e zenon_H14d zenon_H21c zenon_H21e zenon_H21d zenon_H1be zenon_H243. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H1f. zenon_intro zenon_Haa. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.83 apply (zenon_L307_); trivial. % 0.62/0.83 apply (zenon_L262_); trivial. % 0.62/0.83 (* end of lemma zenon_L308_ *) % 0.62/0.83 assert (zenon_L309_ : ((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> ((hskp14)\/((hskp15)\/(hskp12))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> (~(c3_1 (a192))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_H1e7 zenon_Hae zenon_Hb1 zenon_H158 zenon_H14f zenon_H14e zenon_H14d zenon_H7 zenon_Hb0 zenon_H3f zenon_H21e zenon_H21d zenon_H21c zenon_H243 zenon_H1eb zenon_H1ec zenon_H1cf zenon_H202 zenon_H1f3 zenon_H1ea zenon_H1a6 zenon_H4b zenon_H4d zenon_H74 zenon_Haf zenon_H156 zenon_H1e4. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H1 | zenon_intro zenon_Ha8 ]. % 0.62/0.83 apply (zenon_L256_); trivial. % 0.62/0.83 apply (zenon_L308_); trivial. % 0.62/0.83 apply (zenon_L120_); trivial. % 0.62/0.83 apply (zenon_L39_); trivial. % 0.62/0.83 (* end of lemma zenon_L309_ *) % 0.62/0.83 assert (zenon_L310_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> ((hskp14)\/((hskp15)\/(hskp12))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> (ndr1_0) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> (~(hskp7)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/((hskp7)\/(hskp9))) -> False). % 0.62/0.83 do 0 intro. intros zenon_H1e2 zenon_Hae zenon_Hb1 zenon_H158 zenon_H14f zenon_H14e zenon_H14d zenon_H7 zenon_Hb0 zenon_H3f zenon_H21e zenon_H21d zenon_H21c zenon_H243 zenon_H1cf zenon_H202 zenon_H1f3 zenon_H1a6 zenon_H4b zenon_H4d zenon_H74 zenon_Haf zenon_H156 zenon_H1e4 zenon_Ha zenon_H1ea zenon_H1eb zenon_H1ec zenon_H234 zenon_H236. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.83 apply (zenon_L249_); trivial. % 0.62/0.83 apply (zenon_L309_); trivial. % 0.62/0.83 (* end of lemma zenon_L310_ *) % 0.62/0.83 assert (zenon_L311_ : ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (c1_1 (a198)) -> (c3_1 (a198)) -> (~(c2_1 (a198))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H19d zenon_H14f zenon_H14e zenon_H14d zenon_Hb6 zenon_Hb5 zenon_Hb7 zenon_H75 zenon_Ha zenon_H17. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H14c | zenon_intro zenon_H19e ]. % 0.62/0.83 apply (zenon_L73_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H35 | zenon_intro zenon_H18 ]. % 0.62/0.83 apply (zenon_L233_); trivial. % 0.62/0.83 exact (zenon_H17 zenon_H18). % 0.62/0.83 (* end of lemma zenon_L311_ *) % 0.62/0.83 assert (zenon_L312_ : ((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(hskp9)) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Hf8 zenon_H23b zenon_H17 zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_H14d zenon_H14e zenon_H14f zenon_H19d zenon_H21c zenon_H21e zenon_H21d. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Ha. zenon_intro zenon_Hfa. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hd2. zenon_intro zenon_Hfb. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H1aa | zenon_intro zenon_H23c ]. % 0.62/0.83 apply (zenon_L102_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H75 | zenon_intro zenon_H238 ]. % 0.62/0.83 apply (zenon_L311_); trivial. % 0.62/0.83 apply (zenon_L176_); trivial. % 0.62/0.83 (* end of lemma zenon_L312_ *) % 0.62/0.83 assert (zenon_L313_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> (ndr1_0) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> (~(hskp9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Hfc zenon_H23b zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_H4d zenon_H4b zenon_Ha zenon_H21c zenon_H21d zenon_H21e zenon_Hcc zenon_H14d zenon_H14e zenon_H14f zenon_H17 zenon_H19d zenon_H48. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.83 apply (zenon_L243_); trivial. % 0.62/0.83 apply (zenon_L312_); trivial. % 0.62/0.83 (* end of lemma zenon_L313_ *) % 0.62/0.83 assert (zenon_L314_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a198))) -> (c1_1 (a198)) -> (c3_1 (a198)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H149 zenon_Ha zenon_H260 zenon_Hb6 zenon_Hb5. % 0.62/0.83 generalize (zenon_H149 (a198)). zenon_intro zenon_H285. % 0.62/0.83 apply (zenon_imply_s _ _ zenon_H285); [ zenon_intro zenon_H9 | zenon_intro zenon_H286 ]. % 0.62/0.83 exact (zenon_H9 zenon_Ha). % 0.62/0.83 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H264 | zenon_intro zenon_Hba ]. % 0.62/0.83 exact (zenon_H260 zenon_H264). % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbc ]. % 0.62/0.83 exact (zenon_Hbd zenon_Hb6). % 0.62/0.83 exact (zenon_Hbc zenon_Hb5). % 0.62/0.83 (* end of lemma zenon_L314_ *) % 0.62/0.83 assert (zenon_L315_ : (forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c2_1 (a198))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c1_1 (a198)) -> (c3_1 (a198)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H1ae zenon_Ha zenon_Hb7 zenon_H149 zenon_Hb6 zenon_Hb5. % 0.62/0.83 generalize (zenon_H1ae (a198)). zenon_intro zenon_H265. % 0.62/0.83 apply (zenon_imply_s _ _ zenon_H265); [ zenon_intro zenon_H9 | zenon_intro zenon_H266 ]. % 0.62/0.83 exact (zenon_H9 zenon_Ha). % 0.62/0.83 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_Hbb | zenon_intro zenon_H267 ]. % 0.62/0.83 exact (zenon_Hb7 zenon_Hbb). % 0.62/0.83 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H260 | zenon_intro zenon_Hbc ]. % 0.62/0.83 apply (zenon_L314_); trivial. % 0.62/0.83 exact (zenon_Hbc zenon_Hb5). % 0.62/0.83 (* end of lemma zenon_L315_ *) % 0.62/0.83 assert (zenon_L316_ : ((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (~(c2_1 (a198))) -> (c1_1 (a198)) -> (c3_1 (a198)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> False). % 0.62/0.83 do 0 intro. intros zenon_Ha8 zenon_H156 zenon_H106 zenon_H105 zenon_H104 zenon_H1ec zenon_H1eb zenon_H1ea zenon_Hb7 zenon_Hb6 zenon_Hb5 zenon_H277 zenon_H14d zenon_H14e zenon_H14f. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H1f. zenon_intro zenon_Haa. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.83 apply (zenon_L59_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H274 | zenon_intro zenon_H278 ]. % 0.62/0.83 apply (zenon_L264_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1ae | zenon_intro zenon_H18d ]. % 0.62/0.83 apply (zenon_L315_); trivial. % 0.62/0.83 apply (zenon_L125_); trivial. % 0.62/0.83 apply (zenon_L73_); trivial. % 0.62/0.83 (* end of lemma zenon_L316_ *) % 0.62/0.83 assert (zenon_L317_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (c3_1 (a200)) -> (forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))) -> (~(c1_1 (a200))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(c2_1 (a198))) -> (ndr1_0) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H277 zenon_H165 zenon_H10d zenon_H163 zenon_Hb5 zenon_Hb6 zenon_H149 zenon_Hb7 zenon_Ha zenon_H1ea zenon_H1eb zenon_H1ec. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H274 | zenon_intro zenon_H278 ]. % 0.62/0.83 apply (zenon_L280_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1ae | zenon_intro zenon_H18d ]. % 0.62/0.83 apply (zenon_L315_); trivial. % 0.62/0.83 apply (zenon_L125_); trivial. % 0.62/0.83 (* end of lemma zenon_L317_ *) % 0.62/0.83 assert (zenon_L318_ : ((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (c2_1 (a199)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp13))) -> (~(c2_1 (a198))) -> (c1_1 (a198)) -> (c3_1 (a198)) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_H16c zenon_H1e4 zenon_H104 zenon_H105 zenon_H106 zenon_H1c0 zenon_Hb7 zenon_Hb6 zenon_Hb5 zenon_H1ea zenon_H1eb zenon_H1ec zenon_H277 zenon_H14d zenon_H14e zenon_H14f zenon_H156. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.83 apply (zenon_L59_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H10d | zenon_intro zenon_H1c1 ]. % 0.62/0.83 apply (zenon_L317_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H18d | zenon_intro zenon_H1bf ]. % 0.62/0.83 apply (zenon_L125_); trivial. % 0.62/0.83 exact (zenon_H1be zenon_H1bf). % 0.62/0.83 apply (zenon_L73_); trivial. % 0.62/0.83 apply (zenon_L120_); trivial. % 0.62/0.83 (* end of lemma zenon_L318_ *) % 0.62/0.83 assert (zenon_L319_ : ((ndr1_0)/\((c1_1 (a198))/\((c3_1 (a198))/\(~(c2_1 (a198)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp13))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> (~(c3_1 (a192))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((hskp14)\/((hskp15)\/(hskp12))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221))))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_H287 zenon_H1e2 zenon_H1e3 zenon_H1c0 zenon_H1e4 zenon_H245 zenon_Haf zenon_H9b zenon_H1b6 zenon_Hb0 zenon_H3f zenon_H243 zenon_H1eb zenon_H1ec zenon_H1cf zenon_H202 zenon_H1f3 zenon_H1ea zenon_H1a6 zenon_H74 zenon_H7 zenon_H277 zenon_H156 zenon_Hb1 zenon_Hae zenon_H48 zenon_H19d zenon_H14f zenon_H14e zenon_H14d zenon_Hcc zenon_H21e zenon_H21d zenon_H21c zenon_H4b zenon_H4d zenon_H23b zenon_Hfc. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Hb6. zenon_intro zenon_H289. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hb5. zenon_intro zenon_Hb7. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.83 apply (zenon_L313_); trivial. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H1 | zenon_intro zenon_Ha8 ]. % 0.62/0.83 apply (zenon_L277_); trivial. % 0.62/0.83 apply (zenon_L316_); trivial. % 0.62/0.83 apply (zenon_L188_); trivial. % 0.62/0.83 apply (zenon_L39_); trivial. % 0.62/0.83 apply (zenon_L318_); trivial. % 0.62/0.83 (* end of lemma zenon_L319_ *) % 0.62/0.83 assert (zenon_L320_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(hskp24)) -> (c0_1 (a192)) -> (c1_1 (a192)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H243 zenon_H58 zenon_H1eb zenon_H1ec zenon_H105 zenon_H104 zenon_H106 zenon_H1cf zenon_H92 zenon_H14d zenon_H14e zenon_H14f zenon_H28a zenon_H21d zenon_H21e zenon_H21c zenon_Ha zenon_H1be. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H5e | zenon_intro zenon_H244 ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H14c | zenon_intro zenon_H203 ]. % 0.62/0.83 apply (zenon_L73_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H7f | zenon_intro zenon_H1f5 ]. % 0.62/0.83 apply (zenon_L167_); trivial. % 0.62/0.83 apply (zenon_L250_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H238 | zenon_intro zenon_H1bf ]. % 0.62/0.83 apply (zenon_L176_); trivial. % 0.62/0.83 exact (zenon_H1be zenon_H1bf). % 0.62/0.83 (* end of lemma zenon_L320_ *) % 0.62/0.83 assert (zenon_L321_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (~(hskp15)) -> (~(c2_1 (a197))) -> (~(c0_1 (a197))) -> (c1_1 (a197)) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/(hskp15))) -> (ndr1_0) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H156 zenon_H106 zenon_H105 zenon_H104 zenon_H3 zenon_H24c zenon_H24b zenon_H24d zenon_H21c zenon_H21e zenon_H21d zenon_H25e zenon_Ha zenon_H14d zenon_H14e zenon_H14f. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.83 apply (zenon_L59_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.83 apply (zenon_L206_); trivial. % 0.62/0.83 apply (zenon_L73_); trivial. % 0.62/0.83 (* end of lemma zenon_L321_ *) % 0.62/0.83 assert (zenon_L322_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (~(hskp13)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (ndr1_0) -> (~(c0_1 (a197))) -> (~(c2_1 (a197))) -> (c1_1 (a197)) -> (~(hskp23)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/(hskp23))) -> False). % 0.62/0.83 do 0 intro. intros zenon_H74 zenon_H156 zenon_H14f zenon_H14e zenon_H14d zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1a6 zenon_H202 zenon_H1cf zenon_H1ec zenon_H1eb zenon_H106 zenon_H104 zenon_H105 zenon_H1be zenon_H243 zenon_H21c zenon_H21d zenon_H21e zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H24b zenon_H24c zenon_H24d zenon_H2b zenon_H279. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.83 apply (zenon_L269_); trivial. % 0.62/0.83 apply (zenon_L122_); trivial. % 0.62/0.83 (* end of lemma zenon_L322_ *) % 0.62/0.83 assert (zenon_L323_ : ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (ndr1_0) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> (~(hskp9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Hfc zenon_H23b zenon_H21d zenon_H21e zenon_H21c zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_Hcc zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_Ha zenon_H14d zenon_H14e zenon_H14f zenon_H17 zenon_H19d zenon_H48. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.83 apply (zenon_L246_); trivial. % 0.62/0.83 apply (zenon_L312_); trivial. % 0.62/0.83 (* end of lemma zenon_L323_ *) % 0.62/0.83 assert (zenon_L324_ : (forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69)))))) -> (ndr1_0) -> (~(c2_1 (a198))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c1_1 (a198)) -> (c3_1 (a198)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H1c6 zenon_Ha zenon_Hb7 zenon_H149 zenon_Hb6 zenon_Hb5. % 0.62/0.83 generalize (zenon_H1c6 (a198)). zenon_intro zenon_H28b. % 0.62/0.83 apply (zenon_imply_s _ _ zenon_H28b); [ zenon_intro zenon_H9 | zenon_intro zenon_H28c ]. % 0.62/0.83 exact (zenon_H9 zenon_Ha). % 0.62/0.83 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hbb | zenon_intro zenon_H28d ]. % 0.62/0.83 exact (zenon_Hb7 zenon_Hbb). % 0.62/0.83 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H260 | zenon_intro zenon_Hbd ]. % 0.62/0.83 apply (zenon_L314_); trivial. % 0.62/0.83 exact (zenon_Hbd zenon_Hb6). % 0.62/0.83 (* end of lemma zenon_L324_ *) % 0.62/0.83 assert (zenon_L325_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (~(hskp13)) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> (~(c2_1 (a198))) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (ndr1_0) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H156 zenon_H1be zenon_H21c zenon_H21e zenon_H21d zenon_H1cf zenon_H106 zenon_H104 zenon_H105 zenon_Hb5 zenon_Hb6 zenon_Hb7 zenon_H58 zenon_H243 zenon_Ha zenon_H14d zenon_H14e zenon_H14f. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.83 apply (zenon_L59_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H5e | zenon_intro zenon_H244 ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_He0 | zenon_intro zenon_H1d0 ]. % 0.62/0.83 apply (zenon_L181_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H59 ]. % 0.62/0.83 apply (zenon_L324_); trivial. % 0.62/0.83 exact (zenon_H58 zenon_H59). % 0.62/0.83 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H238 | zenon_intro zenon_H1bf ]. % 0.62/0.83 apply (zenon_L176_); trivial. % 0.62/0.83 exact (zenon_H1be zenon_H1bf). % 0.62/0.83 apply (zenon_L73_); trivial. % 0.62/0.83 (* end of lemma zenon_L325_ *) % 0.62/0.83 assert (zenon_L326_ : ((ndr1_0)/\((c1_1 (a198))/\((c3_1 (a198))/\(~(c2_1 (a198)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221))))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_H287 zenon_H1e2 zenon_H1e4 zenon_H74 zenon_H1a6 zenon_H243 zenon_H1cf zenon_H156 zenon_H1b6 zenon_H9b zenon_H48 zenon_H19d zenon_H14f zenon_H14e zenon_H14d zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hcc zenon_H21c zenon_H21e zenon_H21d zenon_H23b zenon_Hfc. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Hb6. zenon_intro zenon_H289. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hb5. zenon_intro zenon_Hb7. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.83 apply (zenon_L323_); trivial. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.83 apply (zenon_L46_); trivial. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.83 apply (zenon_L325_); trivial. % 0.62/0.83 apply (zenon_L116_); trivial. % 0.62/0.83 apply (zenon_L211_); trivial. % 0.62/0.83 apply (zenon_L120_); trivial. % 0.62/0.83 (* end of lemma zenon_L326_ *) % 0.62/0.83 assert (zenon_L327_ : ((ndr1_0)/\((c0_1 (a195))/\((~(c1_1 (a195)))/\(~(c3_1 (a195)))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a197))/\((~(c0_1 (a197)))/\(~(c2_1 (a197))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a198))/\((c3_1 (a198))/\(~(c2_1 (a198))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/(hskp23))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/((hskp7)\/(hskp9))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(hskp1)) -> (~(hskp1)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_H1e1 zenon_H28e zenon_H28f zenon_H1b6 zenon_H9b zenon_H19d zenon_Hcc zenon_H23b zenon_Hfc zenon_H254 zenon_Haf zenon_H48 zenon_H279 zenon_H202 zenon_H25e zenon_H236 zenon_H1ec zenon_H1eb zenon_H1ea zenon_H1e4 zenon_H245 zenon_Hb0 zenon_H3f zenon_H28a zenon_H1cf zenon_H21c zenon_H21d zenon_H21e zenon_H14f zenon_H14e zenon_H14d zenon_H243 zenon_H1a6 zenon_H156 zenon_H74 zenon_H158 zenon_H1e3 zenon_H1e2. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e5. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_Hc3. zenon_intro zenon_H1e6. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Hc1. zenon_intro zenon_Hc2. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H234 | zenon_intro zenon_H290 ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.83 apply (zenon_L249_); trivial. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H92 | zenon_intro zenon_H40 ]. % 0.62/0.83 apply (zenon_L320_); trivial. % 0.62/0.83 exact (zenon_H3f zenon_H40). % 0.62/0.83 apply (zenon_L122_); trivial. % 0.62/0.83 apply (zenon_L188_); trivial. % 0.62/0.83 apply (zenon_L123_); trivial. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H291. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H24d. zenon_intro zenon_H292. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H6d | zenon_intro zenon_H287 ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.83 apply (zenon_L201_); trivial. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.83 apply (zenon_L321_); trivial. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.83 apply (zenon_L322_); trivial. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.83 apply (zenon_L253_); trivial. % 0.62/0.83 apply (zenon_L116_); trivial. % 0.62/0.83 apply (zenon_L120_); trivial. % 0.62/0.83 apply (zenon_L326_); trivial. % 0.62/0.83 (* end of lemma zenon_L327_ *) % 0.62/0.83 assert (zenon_L328_ : (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> False). % 0.62/0.83 do 0 intro. intros zenon_Hea zenon_Ha zenon_H293 zenon_H294 zenon_H295. % 0.62/0.83 generalize (zenon_Hea (a190)). zenon_intro zenon_H296. % 0.62/0.83 apply (zenon_imply_s _ _ zenon_H296); [ zenon_intro zenon_H9 | zenon_intro zenon_H297 ]. % 0.62/0.83 exact (zenon_H9 zenon_Ha). % 0.62/0.83 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H299 | zenon_intro zenon_H298 ]. % 0.62/0.83 exact (zenon_H293 zenon_H299). % 0.62/0.83 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H29b | zenon_intro zenon_H29a ]. % 0.62/0.83 exact (zenon_H29b zenon_H294). % 0.62/0.83 exact (zenon_H29a zenon_H295). % 0.62/0.83 (* end of lemma zenon_L328_ *) % 0.62/0.83 assert (zenon_L329_ : ((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp19)) -> False). % 0.62/0.83 do 0 intro. intros zenon_Hf5 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H133. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He0 | zenon_intro zenon_H138 ]. % 0.62/0.83 apply (zenon_L50_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hea | zenon_intro zenon_H134 ]. % 0.62/0.83 apply (zenon_L328_); trivial. % 0.62/0.83 exact (zenon_H133 zenon_H134). % 0.62/0.83 (* end of lemma zenon_L329_ *) % 0.62/0.83 assert (zenon_L330_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp5)) -> (~(hskp15)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Hf9 zenon_H136 zenon_H133 zenon_H295 zenon_H294 zenon_H293 zenon_H2d zenon_H3 zenon_Hce. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.83 apply (zenon_L48_); trivial. % 0.62/0.83 apply (zenon_L329_); trivial. % 0.62/0.83 (* end of lemma zenon_L330_ *) % 0.62/0.83 assert (zenon_L331_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp15)) -> (~(hskp5)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_H146 zenon_H49 zenon_H33 zenon_H31 zenon_Hce zenon_H3 zenon_H2d zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf9. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.83 apply (zenon_L330_); trivial. % 0.62/0.83 apply (zenon_L68_); trivial. % 0.62/0.83 (* end of lemma zenon_L331_ *) % 0.62/0.83 assert (zenon_L332_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> (~(hskp9)) -> (~(hskp11)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp3)\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Haf zenon_H19 zenon_H17 zenon_H15 zenon_Hf9 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H2d zenon_Hce zenon_H31 zenon_H33 zenon_H49 zenon_H146. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.83 apply (zenon_L331_); trivial. % 0.62/0.83 apply (zenon_L132_); trivial. % 0.62/0.83 (* end of lemma zenon_L332_ *) % 0.62/0.83 assert (zenon_L333_ : (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21)))))) -> (ndr1_0) -> (forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> (~(c3_1 (a190))) -> False). % 0.62/0.83 do 0 intro. intros zenon_He0 zenon_Ha zenon_H1f5 zenon_H294 zenon_H295 zenon_H293. % 0.62/0.83 generalize (zenon_He0 (a190)). zenon_intro zenon_H29c. % 0.62/0.83 apply (zenon_imply_s _ _ zenon_H29c); [ zenon_intro zenon_H9 | zenon_intro zenon_H29d ]. % 0.62/0.83 exact (zenon_H9 zenon_Ha). % 0.62/0.83 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H29f | zenon_intro zenon_H29e ]. % 0.62/0.83 generalize (zenon_H1f5 (a190)). zenon_intro zenon_H2a0. % 0.62/0.83 apply (zenon_imply_s _ _ zenon_H2a0); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a1 ]. % 0.62/0.83 exact (zenon_H9 zenon_Ha). % 0.62/0.83 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a2 ]. % 0.62/0.83 exact (zenon_H29b zenon_H294). % 0.62/0.83 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H29a ]. % 0.62/0.83 exact (zenon_H2a3 zenon_H29f). % 0.62/0.83 exact (zenon_H29a zenon_H295). % 0.62/0.83 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H299 | zenon_intro zenon_H29a ]. % 0.62/0.83 exact (zenon_H293 zenon_H299). % 0.62/0.83 exact (zenon_H29a zenon_H295). % 0.62/0.83 (* end of lemma zenon_L333_ *) % 0.62/0.83 assert (zenon_L334_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H136 zenon_H1f5 zenon_H295 zenon_H294 zenon_H293 zenon_Ha zenon_H133. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He0 | zenon_intro zenon_H138 ]. % 0.62/0.83 apply (zenon_L333_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hea | zenon_intro zenon_H134 ]. % 0.62/0.83 apply (zenon_L328_); trivial. % 0.62/0.83 exact (zenon_H133 zenon_H134). % 0.62/0.83 (* end of lemma zenon_L334_ *) % 0.62/0.83 assert (zenon_L335_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H202 zenon_He zenon_Hd zenon_Hc zenon_H82 zenon_H81 zenon_H80 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_Ha zenon_H133. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hb | zenon_intro zenon_H203 ]. % 0.62/0.83 apply (zenon_L6_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H7f | zenon_intro zenon_H1f5 ]. % 0.62/0.83 apply (zenon_L30_); trivial. % 0.62/0.83 apply (zenon_L334_); trivial. % 0.62/0.83 (* end of lemma zenon_L335_ *) % 0.62/0.83 assert (zenon_L336_ : ((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(c3_1 (a190))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_Hb2 zenon_H146 zenon_H49 zenon_H33 zenon_H31 zenon_H80 zenon_H81 zenon_H82 zenon_H136 zenon_H293 zenon_H295 zenon_H294 zenon_H202. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.83 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.83 apply (zenon_L335_); trivial. % 0.62/0.83 apply (zenon_L68_); trivial. % 0.62/0.83 (* end of lemma zenon_L336_ *) % 0.62/0.83 assert (zenon_L337_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9)))))) -> (~(c1_1 (a199))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H136 zenon_H106 zenon_H104 zenon_H1c zenon_H105 zenon_H295 zenon_H294 zenon_H293 zenon_Ha zenon_H133. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He0 | zenon_intro zenon_H138 ]. % 0.62/0.83 apply (zenon_L63_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hea | zenon_intro zenon_H134 ]. % 0.62/0.83 apply (zenon_L328_); trivial. % 0.62/0.83 exact (zenon_H133 zenon_H134). % 0.62/0.83 (* end of lemma zenon_L337_ *) % 0.62/0.83 assert (zenon_L338_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp3)\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a202))/\((~(c2_1 (a202)))/\(~(c3_1 (a202))))))) -> False). % 0.62/0.83 do 0 intro. intros zenon_H1e2 zenon_Haf zenon_H19 zenon_Hf9 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H2d zenon_Hce zenon_H31 zenon_H33 zenon_H49 zenon_H146 zenon_H202 zenon_H23d. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H15 | zenon_intro zenon_H204 ]. % 0.62/0.83 apply (zenon_L332_); trivial. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H205. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H82. zenon_intro zenon_H206. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H80. zenon_intro zenon_H81. % 0.62/0.83 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.83 apply (zenon_L331_); trivial. % 0.62/0.83 apply (zenon_L336_); trivial. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.83 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1c | zenon_intro zenon_H4a ]. % 0.62/0.83 apply (zenon_L337_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H32 | zenon_intro zenon_H34 ]. % 0.62/0.83 exact (zenon_H31 zenon_H32). % 0.62/0.83 exact (zenon_H33 zenon_H34). % 0.62/0.83 apply (zenon_L68_); trivial. % 0.62/0.83 (* end of lemma zenon_L338_ *) % 0.62/0.83 assert (zenon_L339_ : ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp24)) -> False). % 0.62/0.83 do 0 intro. intros zenon_H2a4 zenon_H295 zenon_H294 zenon_H293 zenon_Ha zenon_H89 zenon_H58. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_Hea | zenon_intro zenon_H2a5 ]. % 0.62/0.83 apply (zenon_L328_); trivial. % 0.62/0.83 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H8a | zenon_intro zenon_H59 ]. % 0.62/0.83 exact (zenon_H89 zenon_H8a). % 0.62/0.83 exact (zenon_H58 zenon_H59). % 0.62/0.83 (* end of lemma zenon_L339_ *) % 0.62/0.83 assert (zenon_L340_ : ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (c1_1 (a215)) -> (c3_1 (a215)) -> (c2_1 (a215)) -> (forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H19d zenon_H14f zenon_H14e zenon_H14d zenon_H61 zenon_H60 zenon_H5f zenon_H5e zenon_Ha zenon_H17. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H14c | zenon_intro zenon_H19e ]. % 0.62/0.84 apply (zenon_L73_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H35 | zenon_intro zenon_H18 ]. % 0.62/0.84 apply (zenon_L25_); trivial. % 0.62/0.84 exact (zenon_H17 zenon_H18). % 0.62/0.84 (* end of lemma zenon_L340_ *) % 0.62/0.84 assert (zenon_L341_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> (~(hskp9)) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (~(hskp19)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(hskp7)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H6f zenon_H2a6 zenon_H17 zenon_H14d zenon_H14e zenon_H14f zenon_H19d zenon_H133 zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_H234. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H5e | zenon_intro zenon_H2a7 ]. % 0.62/0.84 apply (zenon_L340_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H235 ]. % 0.62/0.84 apply (zenon_L334_); trivial. % 0.62/0.84 exact (zenon_H234 zenon_H235). % 0.62/0.84 (* end of lemma zenon_L341_ *) % 0.62/0.84 assert (zenon_L342_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp19)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> (~(hskp9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (ndr1_0) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H74 zenon_H2a6 zenon_H234 zenon_H133 zenon_H136 zenon_H14d zenon_H14e zenon_H14f zenon_H17 zenon_H19d zenon_Ha zenon_H293 zenon_H294 zenon_H295 zenon_H89 zenon_H2a4. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.84 apply (zenon_L339_); trivial. % 0.62/0.84 apply (zenon_L341_); trivial. % 0.62/0.84 (* end of lemma zenon_L342_ *) % 0.62/0.84 assert (zenon_L343_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a225))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a225))) -> (c3_1 (a225)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H75 zenon_Ha zenon_H139 zenon_H103 zenon_H13a zenon_H13b. % 0.62/0.84 generalize (zenon_H75 (a225)). zenon_intro zenon_H2a8. % 0.62/0.84 apply (zenon_imply_s _ _ zenon_H2a8); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a9 ]. % 0.62/0.84 exact (zenon_H9 zenon_Ha). % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H2aa ]. % 0.62/0.84 exact (zenon_H139 zenon_H13f). % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H2ab | zenon_intro zenon_H140 ]. % 0.62/0.84 generalize (zenon_H103 (a225)). zenon_intro zenon_H2ac. % 0.62/0.84 apply (zenon_imply_s _ _ zenon_H2ac); [ zenon_intro zenon_H9 | zenon_intro zenon_H2ad ]. % 0.62/0.84 exact (zenon_H9 zenon_Ha). % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H13f | zenon_intro zenon_H2ae ]. % 0.62/0.84 exact (zenon_H139 zenon_H13f). % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H141 | zenon_intro zenon_H2af ]. % 0.62/0.84 exact (zenon_H13a zenon_H141). % 0.62/0.84 exact (zenon_H2af zenon_H2ab). % 0.62/0.84 exact (zenon_H140 zenon_H13b). % 0.62/0.84 (* end of lemma zenon_L343_ *) % 0.62/0.84 assert (zenon_L344_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> (~(hskp9)) -> (c2_1 (a215)) -> (c3_1 (a215)) -> (c1_1 (a215)) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (~(c3_1 (a190))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21)))))) -> (~(hskp7)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H2a6 zenon_H17 zenon_H5f zenon_H60 zenon_H61 zenon_H14d zenon_H14e zenon_H14f zenon_H19d zenon_H293 zenon_H295 zenon_H294 zenon_Ha zenon_He0 zenon_H234. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H5e | zenon_intro zenon_H2a7 ]. % 0.62/0.84 apply (zenon_L340_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H235 ]. % 0.62/0.84 apply (zenon_L333_); trivial. % 0.62/0.84 exact (zenon_H234 zenon_H235). % 0.62/0.84 (* end of lemma zenon_L344_ *) % 0.62/0.84 assert (zenon_L345_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (c3_1 (a225)) -> (~(c1_1 (a225))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a225))) -> (~(hskp7)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (c1_1 (a215)) -> (c3_1 (a215)) -> (c2_1 (a215)) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> (ndr1_0) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> False). % 0.62/0.84 do 0 intro. intros zenon_Hf3 zenon_H13b zenon_H13a zenon_H103 zenon_H139 zenon_H234 zenon_H19d zenon_H14f zenon_H14e zenon_H14d zenon_H61 zenon_H60 zenon_H5f zenon_H17 zenon_H2a6 zenon_Ha zenon_H293 zenon_H294 zenon_H295. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.84 apply (zenon_L343_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.84 apply (zenon_L344_); trivial. % 0.62/0.84 apply (zenon_L328_); trivial. % 0.62/0.84 (* end of lemma zenon_L345_ *) % 0.62/0.84 assert (zenon_L346_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a225))) -> (~(c2_1 (a225))) -> (c3_1 (a225)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H75 zenon_Ha zenon_H139 zenon_H2af zenon_H13b. % 0.62/0.84 generalize (zenon_H75 (a225)). zenon_intro zenon_H2a8. % 0.62/0.84 apply (zenon_imply_s _ _ zenon_H2a8); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a9 ]. % 0.62/0.84 exact (zenon_H9 zenon_Ha). % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H13f | zenon_intro zenon_H2aa ]. % 0.62/0.84 exact (zenon_H139 zenon_H13f). % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H2ab | zenon_intro zenon_H140 ]. % 0.62/0.84 exact (zenon_H2af zenon_H2ab). % 0.62/0.84 exact (zenon_H140 zenon_H13b). % 0.62/0.84 (* end of lemma zenon_L346_ *) % 0.62/0.84 assert (zenon_L347_ : (forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (~(c0_1 (a225))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (c3_1 (a225)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H5e zenon_Ha zenon_H139 zenon_H75 zenon_H13b. % 0.62/0.84 generalize (zenon_H5e (a225)). zenon_intro zenon_H2b0. % 0.62/0.84 apply (zenon_imply_s _ _ zenon_H2b0); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b1 ]. % 0.62/0.84 exact (zenon_H9 zenon_Ha). % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H13f | zenon_intro zenon_H2b2 ]. % 0.62/0.84 exact (zenon_H139 zenon_H13f). % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H2af | zenon_intro zenon_H140 ]. % 0.62/0.84 apply (zenon_L346_); trivial. % 0.62/0.84 exact (zenon_H140 zenon_H13b). % 0.62/0.84 (* end of lemma zenon_L347_ *) % 0.62/0.84 assert (zenon_L348_ : (forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63)))))) -> (ndr1_0) -> (~(c1_1 (a190))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> False). % 0.62/0.84 do 0 intro. intros zenon_Hc0 zenon_Ha zenon_H2a3 zenon_H293 zenon_H294. % 0.62/0.84 generalize (zenon_Hc0 (a190)). zenon_intro zenon_H2b3. % 0.62/0.84 apply (zenon_imply_s _ _ zenon_H2b3); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b4 ]. % 0.62/0.84 exact (zenon_H9 zenon_Ha). % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2b4); [ zenon_intro zenon_H29f | zenon_intro zenon_H2b5 ]. % 0.62/0.84 exact (zenon_H2a3 zenon_H29f). % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H299 | zenon_intro zenon_H29b ]. % 0.62/0.84 exact (zenon_H293 zenon_H299). % 0.62/0.84 exact (zenon_H29b zenon_H294). % 0.62/0.84 (* end of lemma zenon_L348_ *) % 0.62/0.84 assert (zenon_L349_ : (forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))) -> (ndr1_0) -> (c0_1 (a190)) -> (forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63)))))) -> (~(c3_1 (a190))) -> (c2_1 (a190)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H1f5 zenon_Ha zenon_H294 zenon_Hc0 zenon_H293 zenon_H295. % 0.62/0.84 generalize (zenon_H1f5 (a190)). zenon_intro zenon_H2a0. % 0.62/0.84 apply (zenon_imply_s _ _ zenon_H2a0); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a1 ]. % 0.62/0.84 exact (zenon_H9 zenon_Ha). % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a2 ]. % 0.62/0.84 exact (zenon_H29b zenon_H294). % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H29a ]. % 0.62/0.84 apply (zenon_L348_); trivial. % 0.62/0.84 exact (zenon_H29a zenon_H295). % 0.62/0.84 (* end of lemma zenon_L349_ *) % 0.62/0.84 assert (zenon_L350_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c2_1 (a190)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (c1_1 (a215)) -> (c2_1 (a215)) -> (c3_1 (a215)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H1a6 zenon_H295 zenon_H293 zenon_H294 zenon_H1f5 zenon_H149 zenon_Ha zenon_H91 zenon_H61 zenon_H5f zenon_H60. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.84 apply (zenon_L349_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.84 apply (zenon_L71_); trivial. % 0.62/0.84 apply (zenon_L154_); trivial. % 0.62/0.84 (* end of lemma zenon_L350_ *) % 0.62/0.84 assert (zenon_L351_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> (c3_1 (a225)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c0_1 (a225))) -> (c3_1 (a215)) -> (c2_1 (a215)) -> (c1_1 (a215)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (c2_1 (a190)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp7)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H2a6 zenon_H13b zenon_H75 zenon_H139 zenon_H60 zenon_H5f zenon_H61 zenon_H91 zenon_Ha zenon_H149 zenon_H294 zenon_H293 zenon_H295 zenon_H1a6 zenon_H234. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H5e | zenon_intro zenon_H2a7 ]. % 0.62/0.84 apply (zenon_L347_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H235 ]. % 0.62/0.84 apply (zenon_L350_); trivial. % 0.62/0.84 exact (zenon_H234 zenon_H235). % 0.62/0.84 (* end of lemma zenon_L351_ *) % 0.62/0.84 assert (zenon_L352_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp2))) -> (~(hskp7)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c2_1 (a190)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c1_1 (a215)) -> (c2_1 (a215)) -> (c3_1 (a215)) -> (~(c0_1 (a225))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (c3_1 (a225)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (ndr1_0) -> (~(hskp2)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H1d3 zenon_H234 zenon_H1a6 zenon_H295 zenon_H293 zenon_H294 zenon_H149 zenon_H61 zenon_H5f zenon_H60 zenon_H139 zenon_H75 zenon_H13b zenon_H2a6 zenon_H14f zenon_H14e zenon_H14d zenon_Ha zenon_H41. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H91 | zenon_intro zenon_H1d4 ]. % 0.62/0.84 apply (zenon_L351_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H14c | zenon_intro zenon_H42 ]. % 0.62/0.84 apply (zenon_L73_); trivial. % 0.62/0.84 exact (zenon_H41 zenon_H42). % 0.62/0.84 (* end of lemma zenon_L352_ *) % 0.62/0.84 assert (zenon_L353_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (~(c1_1 (a225))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> (~(hskp9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp2))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a225))) -> (c3_1 (a225)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H6f zenon_H156 zenon_H13a zenon_H295 zenon_H294 zenon_H293 zenon_H2a6 zenon_H17 zenon_H19d zenon_H234 zenon_H1d3 zenon_H1a6 zenon_H139 zenon_H13b zenon_H41 zenon_Hf3 zenon_H14d zenon_H14e zenon_H14f. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.84 apply (zenon_L345_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.84 apply (zenon_L352_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.84 apply (zenon_L344_); trivial. % 0.62/0.84 apply (zenon_L328_); trivial. % 0.62/0.84 apply (zenon_L73_); trivial. % 0.62/0.84 (* end of lemma zenon_L353_ *) % 0.62/0.84 assert (zenon_L354_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a190)) -> (c2_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp19)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(hskp9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (c3_1 (a200)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H74 zenon_H2a6 zenon_H234 zenon_H294 zenon_H295 zenon_H293 zenon_H133 zenon_H136 zenon_H17 zenon_H19d zenon_Ha zenon_H14d zenon_H14e zenon_H14f zenon_H163 zenon_H164 zenon_H165 zenon_H158. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.84 apply (zenon_L78_); trivial. % 0.62/0.84 apply (zenon_L341_); trivial. % 0.62/0.84 (* end of lemma zenon_L354_ *) % 0.62/0.84 assert (zenon_L355_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41)))))) -> (~(c1_1 (a199))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H136 zenon_H106 zenon_H104 zenon_H5e zenon_H105 zenon_H295 zenon_H294 zenon_H293 zenon_Ha zenon_H133. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He0 | zenon_intro zenon_H138 ]. % 0.62/0.84 apply (zenon_L181_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hea | zenon_intro zenon_H134 ]. % 0.62/0.84 apply (zenon_L328_); trivial. % 0.62/0.84 exact (zenon_H133 zenon_H134). % 0.62/0.84 (* end of lemma zenon_L355_ *) % 0.62/0.84 assert (zenon_L356_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> (~(hskp19)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c3_1 (a215)) -> (c2_1 (a215)) -> (c1_1 (a215)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (c2_1 (a190)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp7)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H2a6 zenon_H133 zenon_H105 zenon_H104 zenon_H106 zenon_H136 zenon_H60 zenon_H5f zenon_H61 zenon_H91 zenon_Ha zenon_H149 zenon_H294 zenon_H293 zenon_H295 zenon_H1a6 zenon_H234. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H5e | zenon_intro zenon_H2a7 ]. % 0.62/0.84 apply (zenon_L355_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H235 ]. % 0.62/0.84 apply (zenon_L350_); trivial. % 0.62/0.84 exact (zenon_H234 zenon_H235). % 0.62/0.84 (* end of lemma zenon_L356_ *) % 0.62/0.84 assert (zenon_L357_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (~(hskp2)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> (~(hskp19)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (c2_1 (a190)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp2))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H6f zenon_H156 zenon_H41 zenon_H2a6 zenon_H133 zenon_H105 zenon_H104 zenon_H106 zenon_H136 zenon_H294 zenon_H293 zenon_H295 zenon_H1a6 zenon_H234 zenon_H1d3 zenon_H14d zenon_H14e zenon_H14f. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.84 apply (zenon_L59_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H91 | zenon_intro zenon_H1d4 ]. % 0.62/0.84 apply (zenon_L356_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H14c | zenon_intro zenon_H42 ]. % 0.62/0.84 apply (zenon_L73_); trivial. % 0.62/0.84 exact (zenon_H41 zenon_H42). % 0.62/0.84 apply (zenon_L73_); trivial. % 0.62/0.84 (* end of lemma zenon_L357_ *) % 0.62/0.84 assert (zenon_L358_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp2))) -> (c3_1 (a215)) -> (c2_1 (a215)) -> (c1_1 (a215)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (c2_1 (a190)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (ndr1_0) -> (~(hskp2)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H1d3 zenon_H60 zenon_H5f zenon_H61 zenon_H149 zenon_H1f5 zenon_H294 zenon_H293 zenon_H295 zenon_H1a6 zenon_H14f zenon_H14e zenon_H14d zenon_Ha zenon_H41. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H91 | zenon_intro zenon_H1d4 ]. % 0.62/0.84 apply (zenon_L350_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H14c | zenon_intro zenon_H42 ]. % 0.62/0.84 apply (zenon_L73_); trivial. % 0.62/0.84 exact (zenon_H41 zenon_H42). % 0.62/0.84 (* end of lemma zenon_L358_ *) % 0.62/0.84 assert (zenon_L359_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21)))))) -> (~(hskp2)) -> (ndr1_0) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c2_1 (a190)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c1_1 (a215)) -> (c2_1 (a215)) -> (c3_1 (a215)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp2))) -> (~(hskp7)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H2a6 zenon_H106 zenon_H104 zenon_H105 zenon_He0 zenon_H41 zenon_Ha zenon_H14d zenon_H14e zenon_H14f zenon_H1a6 zenon_H295 zenon_H293 zenon_H294 zenon_H149 zenon_H61 zenon_H5f zenon_H60 zenon_H1d3 zenon_H234. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H5e | zenon_intro zenon_H2a7 ]. % 0.62/0.84 apply (zenon_L181_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H235 ]. % 0.62/0.84 apply (zenon_L358_); trivial. % 0.62/0.84 exact (zenon_H234 zenon_H235). % 0.62/0.84 (* end of lemma zenon_L359_ *) % 0.62/0.84 assert (zenon_L360_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c1_1 (a215)) -> (c2_1 (a215)) -> (c3_1 (a215)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp2))) -> (~(hskp7)) -> (c3_1 (a225)) -> (~(c0_1 (a225))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (ndr1_0) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H156 zenon_H295 zenon_H294 zenon_H293 zenon_H2a6 zenon_H106 zenon_H104 zenon_H105 zenon_H41 zenon_H1a6 zenon_H61 zenon_H5f zenon_H60 zenon_H1d3 zenon_H234 zenon_H13b zenon_H139 zenon_H91 zenon_Hf3 zenon_Ha zenon_H14d zenon_H14e zenon_H14f. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.84 apply (zenon_L59_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.84 apply (zenon_L351_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.84 apply (zenon_L359_); trivial. % 0.62/0.84 apply (zenon_L328_); trivial. % 0.62/0.84 apply (zenon_L73_); trivial. % 0.62/0.84 (* end of lemma zenon_L360_ *) % 0.62/0.84 assert (zenon_L361_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (ndr1_0) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(hskp7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H1e2 zenon_H26a zenon_H146 zenon_H156 zenon_H1d3 zenon_H41 zenon_H1a6 zenon_Hf3 zenon_H2a4 zenon_H295 zenon_H294 zenon_H293 zenon_Ha zenon_H19d zenon_H14f zenon_H14e zenon_H14d zenon_H136 zenon_H234 zenon_H2a6 zenon_H74 zenon_H158 zenon_H1e3. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.84 apply (zenon_L342_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.84 apply (zenon_L339_); trivial. % 0.62/0.84 apply (zenon_L353_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.84 apply (zenon_L354_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.84 apply (zenon_L78_); trivial. % 0.62/0.84 apply (zenon_L353_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.84 apply (zenon_L339_); trivial. % 0.62/0.84 apply (zenon_L357_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.84 apply (zenon_L339_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.84 apply (zenon_L59_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.84 apply (zenon_L352_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.84 apply (zenon_L359_); trivial. % 0.62/0.84 apply (zenon_L328_); trivial. % 0.62/0.84 apply (zenon_L73_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.84 apply (zenon_L78_); trivial. % 0.62/0.84 apply (zenon_L357_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.84 apply (zenon_L78_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.84 apply (zenon_L59_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H75 | zenon_intro zenon_H26b ]. % 0.62/0.84 apply (zenon_L352_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H91 | zenon_intro zenon_H15a ]. % 0.62/0.84 apply (zenon_L360_); trivial. % 0.62/0.84 apply (zenon_L77_); trivial. % 0.62/0.84 apply (zenon_L73_); trivial. % 0.62/0.84 (* end of lemma zenon_L361_ *) % 0.62/0.84 assert (zenon_L362_ : ((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp3)\/(hskp12))) -> (~(hskp3)) -> (c1_1 (a197)) -> (~(c0_1 (a197))) -> (~(c2_1 (a197))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H1e7 zenon_Hae zenon_H4d zenon_H4b zenon_H182 zenon_H31 zenon_H24d zenon_H24b zenon_H24c zenon_H14d zenon_H14e zenon_H14f zenon_H156. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.84 apply (zenon_L59_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.84 apply (zenon_L203_); trivial. % 0.62/0.84 apply (zenon_L73_); trivial. % 0.62/0.84 apply (zenon_L39_); trivial. % 0.62/0.84 (* end of lemma zenon_L362_ *) % 0.62/0.84 assert (zenon_L363_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp3)\/(hskp12))) -> (~(hskp3)) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (ndr1_0) -> (~(c0_1 (a197))) -> (~(c2_1 (a197))) -> (c1_1 (a197)) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/((hskp8)\/(hskp9))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H1e2 zenon_Hae zenon_H4d zenon_H4b zenon_H182 zenon_H31 zenon_H14d zenon_H14e zenon_H14f zenon_H156 zenon_Ha zenon_H24b zenon_H24c zenon_H24d zenon_H6d zenon_H254. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.84 apply (zenon_L201_); trivial. % 0.62/0.84 apply (zenon_L362_); trivial. % 0.62/0.84 (* end of lemma zenon_L363_ *) % 0.62/0.84 assert (zenon_L364_ : (forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79)))))) -> (ndr1_0) -> (~(c3_1 (a190))) -> (forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63)))))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H211 zenon_Ha zenon_H293 zenon_Hc0 zenon_H294 zenon_H295. % 0.62/0.84 generalize (zenon_H211 (a190)). zenon_intro zenon_H2b6. % 0.62/0.84 apply (zenon_imply_s _ _ zenon_H2b6); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b7 ]. % 0.62/0.84 exact (zenon_H9 zenon_Ha). % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H299 | zenon_intro zenon_H2a2 ]. % 0.62/0.84 exact (zenon_H293 zenon_H299). % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H29a ]. % 0.62/0.84 apply (zenon_L348_); trivial. % 0.62/0.84 exact (zenon_H29a zenon_H295). % 0.62/0.84 (* end of lemma zenon_L364_ *) % 0.62/0.84 assert (zenon_L365_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> (~(c2_1 (a198))) -> (c1_1 (a198)) -> (c3_1 (a198)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp12))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (c1_1 (a215)) -> (c2_1 (a215)) -> (c3_1 (a215)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H1a6 zenon_H5 zenon_H293 zenon_H294 zenon_H295 zenon_Hb7 zenon_Hb6 zenon_Hb5 zenon_H2b8 zenon_H149 zenon_Ha zenon_H91 zenon_H61 zenon_H5f zenon_H60. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H2b9 ]. % 0.62/0.84 apply (zenon_L324_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H211 | zenon_intro zenon_H6 ]. % 0.62/0.84 apply (zenon_L364_); trivial. % 0.62/0.84 exact (zenon_H5 zenon_H6). % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.84 apply (zenon_L71_); trivial. % 0.62/0.84 apply (zenon_L154_); trivial. % 0.62/0.84 (* end of lemma zenon_L365_ *) % 0.62/0.84 assert (zenon_L366_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c3_1 (a215)) -> (c2_1 (a215)) -> (c1_1 (a215)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp12))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> (~(c2_1 (a198))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp12)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (ndr1_0) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H156 zenon_H106 zenon_H105 zenon_H104 zenon_H60 zenon_H5f zenon_H61 zenon_H91 zenon_H2b8 zenon_Hb5 zenon_Hb6 zenon_Hb7 zenon_H295 zenon_H294 zenon_H293 zenon_H5 zenon_H1a6 zenon_Ha zenon_H14d zenon_H14e zenon_H14f. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.84 apply (zenon_L59_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.84 apply (zenon_L365_); trivial. % 0.62/0.84 apply (zenon_L73_); trivial. % 0.62/0.84 (* end of lemma zenon_L366_ *) % 0.62/0.84 assert (zenon_L367_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp2))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp12)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> (~(c2_1 (a198))) -> (c1_1 (a198)) -> (c3_1 (a198)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp12))) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (c2_1 (a199)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (~(hskp2)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H6f zenon_H1d3 zenon_H1a6 zenon_H5 zenon_H293 zenon_H294 zenon_H295 zenon_Hb7 zenon_Hb6 zenon_Hb5 zenon_H2b8 zenon_H104 zenon_H105 zenon_H106 zenon_H156 zenon_H14f zenon_H14e zenon_H14d zenon_H41. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H91 | zenon_intro zenon_H1d4 ]. % 0.62/0.84 apply (zenon_L366_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H14c | zenon_intro zenon_H42 ]. % 0.62/0.84 apply (zenon_L73_); trivial. % 0.62/0.84 exact (zenon_H41 zenon_H42). % 0.62/0.84 (* end of lemma zenon_L367_ *) % 0.62/0.84 assert (zenon_L368_ : ((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c2_1 (a198))) -> (c1_1 (a198)) -> (c3_1 (a198)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp12))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H1e7 zenon_H1e3 zenon_H158 zenon_H74 zenon_H1d3 zenon_H41 zenon_H1a6 zenon_Hb7 zenon_Hb6 zenon_Hb5 zenon_H2b8 zenon_H14d zenon_H14e zenon_H14f zenon_H156 zenon_H293 zenon_H294 zenon_H295 zenon_H2a4 zenon_H4b zenon_H4d zenon_Hae. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.84 apply (zenon_L339_); trivial. % 0.62/0.84 apply (zenon_L367_); trivial. % 0.62/0.84 apply (zenon_L39_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.84 apply (zenon_L78_); trivial. % 0.62/0.84 apply (zenon_L367_); trivial. % 0.62/0.84 apply (zenon_L39_); trivial. % 0.62/0.84 (* end of lemma zenon_L368_ *) % 0.62/0.84 assert (zenon_L369_ : ((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H1e7 zenon_H1e3 zenon_H158 zenon_H2a4 zenon_H295 zenon_H294 zenon_H293 zenon_H1a6 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H14d zenon_H14e zenon_H14f zenon_H156 zenon_H74. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.84 apply (zenon_L339_); trivial. % 0.62/0.84 apply (zenon_L122_); trivial. % 0.62/0.84 apply (zenon_L123_); trivial. % 0.62/0.84 (* end of lemma zenon_L369_ *) % 0.62/0.84 assert (zenon_L370_ : ((ndr1_0)/\((c0_1 (a195))/\((~(c1_1 (a195)))/\(~(c3_1 (a195)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((hskp23)\/((hskp9)\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H1e1 zenon_H1e2 zenon_H1e3 zenon_H158 zenon_H2a4 zenon_H295 zenon_H294 zenon_H293 zenon_H1a6 zenon_H156 zenon_H74 zenon_Hbe zenon_H41 zenon_H14d zenon_H14e zenon_H14f zenon_H19d zenon_H48. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e5. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_Hc3. zenon_intro zenon_H1e6. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Hc1. zenon_intro zenon_Hc2. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.84 apply (zenon_L94_); trivial. % 0.62/0.84 apply (zenon_L369_); trivial. % 0.62/0.84 (* end of lemma zenon_L370_ *) % 0.62/0.84 assert (zenon_L371_ : ((ndr1_0)/\((c0_1 (a194))/\((~(c1_1 (a194)))/\(~(c2_1 (a194)))))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a195))/\((~(c1_1 (a195)))/\(~(c3_1 (a195))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp3)\/(hskp12))) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((hskp23)\/((hskp9)\/(hskp2))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp12))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a198))/\((c3_1 (a198))/\(~(c2_1 (a198))))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a197))/\((~(c0_1 (a197)))/\(~(c2_1 (a197))))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H219 zenon_H2ba zenon_H1e2 zenon_H26a zenon_H146 zenon_H156 zenon_H1d3 zenon_H41 zenon_H1a6 zenon_Hf3 zenon_H2a4 zenon_H295 zenon_H294 zenon_H293 zenon_H19d zenon_H136 zenon_H2a6 zenon_H74 zenon_H158 zenon_H1e3 zenon_Hae zenon_H4d zenon_H182 zenon_H31 zenon_H254 zenon_H48 zenon_Hbe zenon_H2b8 zenon_H28f zenon_H28e. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H14f. zenon_intro zenon_H21b. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H4b | zenon_intro zenon_H1e1 ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H234 | zenon_intro zenon_H290 ]. % 0.62/0.84 apply (zenon_L361_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H291. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H24d. zenon_intro zenon_H292. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H6d | zenon_intro zenon_H287 ]. % 0.62/0.84 apply (zenon_L363_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Hb6. zenon_intro zenon_H289. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hb5. zenon_intro zenon_Hb7. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.84 apply (zenon_L94_); trivial. % 0.62/0.84 apply (zenon_L368_); trivial. % 0.62/0.84 apply (zenon_L370_); trivial. % 0.62/0.84 (* end of lemma zenon_L371_ *) % 0.62/0.84 assert (zenon_L372_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (c3_1 (a225)) -> (~(c1_1 (a225))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a225))) -> (c2_1 (a257)) -> (~(c3_1 (a257))) -> (~(c1_1 (a257))) -> (ndr1_0) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> False). % 0.62/0.84 do 0 intro. intros zenon_Hf3 zenon_H13b zenon_H13a zenon_H103 zenon_H139 zenon_He3 zenon_He2 zenon_He1 zenon_Ha zenon_H293 zenon_H294 zenon_H295. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.84 apply (zenon_L343_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.84 apply (zenon_L50_); trivial. % 0.62/0.84 apply (zenon_L328_); trivial. % 0.62/0.84 (* end of lemma zenon_L372_ *) % 0.62/0.84 assert (zenon_L373_ : ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (c3_1 (a215)) -> (c2_1 (a215)) -> (c1_1 (a215)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp5)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H2f zenon_H60 zenon_H5f zenon_H61 zenon_H91 zenon_Ha zenon_H2b zenon_H2d. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H1b | zenon_intro zenon_H30 ]. % 0.62/0.84 apply (zenon_L154_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H2c | zenon_intro zenon_H2e ]. % 0.62/0.84 exact (zenon_H2b zenon_H2c). % 0.62/0.84 exact (zenon_H2d zenon_H2e). % 0.62/0.84 (* end of lemma zenon_L373_ *) % 0.62/0.84 assert (zenon_L374_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(c1_1 (a257))) -> (~(c3_1 (a257))) -> (c2_1 (a257)) -> (~(c0_1 (a225))) -> (~(c1_1 (a225))) -> (c3_1 (a225)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp5)) -> (~(hskp23)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(c1_1 (a223))) -> (~(c2_1 (a223))) -> (c3_1 (a223)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H6f zenon_H117 zenon_H295 zenon_H294 zenon_H293 zenon_He1 zenon_He2 zenon_He3 zenon_H139 zenon_H13a zenon_H13b zenon_Hf3 zenon_H2d zenon_H2b zenon_H2f zenon_H10e zenon_H10f zenon_H110. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H103 | zenon_intro zenon_H118 ]. % 0.62/0.84 apply (zenon_L372_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H91 | zenon_intro zenon_H10d ]. % 0.62/0.84 apply (zenon_L373_); trivial. % 0.62/0.84 apply (zenon_L60_); trivial. % 0.62/0.84 (* end of lemma zenon_L374_ *) % 0.62/0.84 assert (zenon_L375_ : ((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> (c3_1 (a223)) -> (~(c2_1 (a223))) -> (~(c1_1 (a223))) -> (~(c0_1 (a225))) -> (~(c1_1 (a225))) -> (c3_1 (a225)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c2_1 (a257)) -> (~(c3_1 (a257))) -> (~(c1_1 (a257))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H43 zenon_H74 zenon_H117 zenon_H110 zenon_H10f zenon_H10e zenon_H139 zenon_H13a zenon_H13b zenon_H293 zenon_H294 zenon_H295 zenon_Hf3 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1cf zenon_He3 zenon_He2 zenon_He1 zenon_H1a6. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.84 apply (zenon_L232_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H103 | zenon_intro zenon_H118 ]. % 0.62/0.84 apply (zenon_L372_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H91 | zenon_intro zenon_H10d ]. % 0.62/0.84 apply (zenon_L155_); trivial. % 0.62/0.84 apply (zenon_L60_); trivial. % 0.62/0.84 (* end of lemma zenon_L375_ *) % 0.62/0.84 assert (zenon_L376_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> (c1_1 (a193)) -> (~(c3_1 (a193))) -> (~(c0_1 (a193))) -> (c1_1 (a222)) -> (c2_1 (a222)) -> (~(c3_1 (a222))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))) -> (~(hskp5)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H135 zenon_H175 zenon_H176 zenon_H174 zenon_H126 zenon_H127 zenon_H124 zenon_Ha zenon_H18d zenon_H2d. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H125 | zenon_intro zenon_H137 ]. % 0.62/0.84 apply (zenon_L91_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb | zenon_intro zenon_H2e ]. % 0.62/0.84 apply (zenon_L170_); trivial. % 0.62/0.84 exact (zenon_H2d zenon_H2e). % 0.62/0.84 (* end of lemma zenon_L376_ *) % 0.62/0.84 assert (zenon_L377_ : ((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> (~(hskp5)) -> (~(c3_1 (a222))) -> (c2_1 (a222)) -> (c1_1 (a222)) -> (~(c0_1 (a193))) -> (~(c3_1 (a193))) -> (c1_1 (a193)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> (~(hskp2)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H142 zenon_H195 zenon_H2d zenon_H124 zenon_H127 zenon_H126 zenon_H174 zenon_H176 zenon_H175 zenon_H135 zenon_H41. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H1c | zenon_intro zenon_H196 ]. % 0.62/0.84 apply (zenon_L67_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18d | zenon_intro zenon_H42 ]. % 0.62/0.84 apply (zenon_L376_); trivial. % 0.62/0.84 exact (zenon_H41 zenon_H42). % 0.62/0.84 (* end of lemma zenon_L377_ *) % 0.62/0.84 assert (zenon_L378_ : ((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a193))) -> (~(c3_1 (a193))) -> (c1_1 (a193)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp15)) -> (~(hskp5)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H145 zenon_H146 zenon_H195 zenon_H41 zenon_H174 zenon_H176 zenon_H175 zenon_H135 zenon_Hce zenon_H3 zenon_H2d zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf9. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_Ha. zenon_intro zenon_H147. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H126. zenon_intro zenon_H148. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H127. zenon_intro zenon_H124. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.84 apply (zenon_L330_); trivial. % 0.62/0.84 apply (zenon_L377_); trivial. % 0.62/0.84 (* end of lemma zenon_L378_ *) % 0.62/0.84 assert (zenon_L379_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a225))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c0_1 (a225))) -> (c3_1 (a225)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H274 zenon_Ha zenon_H13a zenon_H75 zenon_H139 zenon_H13b. % 0.62/0.84 generalize (zenon_H274 (a225)). zenon_intro zenon_H2bb. % 0.62/0.84 apply (zenon_imply_s _ _ zenon_H2bb); [ zenon_intro zenon_H9 | zenon_intro zenon_H2bc ]. % 0.62/0.84 exact (zenon_H9 zenon_Ha). % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H141 | zenon_intro zenon_H2b2 ]. % 0.62/0.84 exact (zenon_H13a zenon_H141). % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H2af | zenon_intro zenon_H140 ]. % 0.62/0.84 apply (zenon_L346_); trivial. % 0.62/0.84 exact (zenon_H140 zenon_H13b). % 0.62/0.84 (* end of lemma zenon_L379_ *) % 0.62/0.84 assert (zenon_L380_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/(hskp14))) -> (c3_1 (a225)) -> (~(c0_1 (a225))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c1_1 (a225))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H280 zenon_H13b zenon_H139 zenon_H75 zenon_H13a zenon_Ha zenon_H1. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H5e | zenon_intro zenon_H281 ]. % 0.62/0.84 apply (zenon_L347_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H274 | zenon_intro zenon_H2 ]. % 0.62/0.84 apply (zenon_L379_); trivial. % 0.62/0.84 exact (zenon_H1 zenon_H2). % 0.62/0.84 (* end of lemma zenon_L380_ *) % 0.62/0.84 assert (zenon_L381_ : ((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp14)) -> (~(c1_1 (a225))) -> (~(c0_1 (a225))) -> (c3_1 (a225)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/(hskp14))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> False). % 0.62/0.84 do 0 intro. intros zenon_Hf5 zenon_Hf3 zenon_H1 zenon_H13a zenon_H139 zenon_H13b zenon_H280 zenon_H293 zenon_H294 zenon_H295. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.84 apply (zenon_L380_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.84 apply (zenon_L50_); trivial. % 0.62/0.84 apply (zenon_L328_); trivial. % 0.62/0.84 (* end of lemma zenon_L381_ *) % 0.62/0.84 assert (zenon_L382_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp14)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/(hskp14))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp15)) -> (~(hskp5)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H146 zenon_Hf3 zenon_H1 zenon_H280 zenon_Hce zenon_H3 zenon_H2d zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf9. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.84 apply (zenon_L330_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.84 apply (zenon_L48_); trivial. % 0.62/0.84 apply (zenon_L381_); trivial. % 0.62/0.84 (* end of lemma zenon_L382_ *) % 0.62/0.84 assert (zenon_L383_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> (c1_1 (a193)) -> (~(c3_1 (a193))) -> (~(c0_1 (a193))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_Haf zenon_H135 zenon_H175 zenon_H176 zenon_H174 zenon_Hf9 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H2d zenon_Hce zenon_H280 zenon_H1 zenon_Hf3 zenon_H146. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.84 apply (zenon_L382_); trivial. % 0.62/0.84 apply (zenon_L92_); trivial. % 0.62/0.84 (* end of lemma zenon_L383_ *) % 0.62/0.84 assert (zenon_L384_ : ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (~(hskp5)) -> (~(hskp23)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (c3_1 (a200)) -> (c0_1 (a200)) -> (~(c1_1 (a200))) -> (ndr1_0) -> (~(hskp24)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H158 zenon_H2d zenon_H2b zenon_H2f zenon_H165 zenon_H164 zenon_H163 zenon_Ha zenon_H58. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H14c | zenon_intro zenon_H159 ]. % 0.62/0.84 apply (zenon_L196_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H15a | zenon_intro zenon_H59 ]. % 0.62/0.84 apply (zenon_L77_); trivial. % 0.62/0.84 exact (zenon_H58 zenon_H59). % 0.62/0.84 (* end of lemma zenon_L384_ *) % 0.62/0.84 assert (zenon_L385_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> (c3_1 (a223)) -> (~(c2_1 (a223))) -> (~(c1_1 (a223))) -> (~(c0_1 (a225))) -> (~(c1_1 (a225))) -> (c3_1 (a225)) -> (~(c1_1 (a257))) -> (~(c3_1 (a257))) -> (c2_1 (a257)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (~(hskp23)) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (ndr1_0) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H74 zenon_H117 zenon_H110 zenon_H10f zenon_H10e zenon_H139 zenon_H13a zenon_H13b zenon_He1 zenon_He2 zenon_He3 zenon_H293 zenon_H294 zenon_H295 zenon_Hf3 zenon_H2f zenon_H2d zenon_H2b zenon_H165 zenon_H163 zenon_H164 zenon_Ha zenon_H158. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.84 apply (zenon_L384_); trivial. % 0.62/0.84 apply (zenon_L374_); trivial. % 0.62/0.84 (* end of lemma zenon_L385_ *) % 0.62/0.84 assert (zenon_L386_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (c0_1 (a200)) -> (~(c1_1 (a200))) -> (c3_1 (a200)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp15)) -> (~(hskp5)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> (ndr1_0) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp17)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H1c3 zenon_H146 zenon_H48 zenon_H1cf zenon_H1a6 zenon_H158 zenon_H164 zenon_H163 zenon_H165 zenon_H2f zenon_Hf3 zenon_H117 zenon_H74 zenon_Hce zenon_H3 zenon_H2d zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf9 zenon_Ha zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hfd zenon_H101. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hff | zenon_intro zenon_H119 ]. % 0.62/0.84 apply (zenon_L58_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11a. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H110. zenon_intro zenon_H11b. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.84 apply (zenon_L330_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.84 apply (zenon_L48_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.84 apply (zenon_L385_); trivial. % 0.62/0.84 apply (zenon_L375_); trivial. % 0.62/0.84 (* end of lemma zenon_L386_ *) % 0.62/0.84 assert (zenon_L387_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> (c1_1 (a193)) -> (~(c3_1 (a193))) -> (~(c0_1 (a193))) -> (c1_1 (a222)) -> (c2_1 (a222)) -> (~(c3_1 (a222))) -> (ndr1_0) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (c3_1 (a200)) -> (c0_1 (a200)) -> (~(hskp23)) -> (~(c1_1 (a210))) -> (c2_1 (a210)) -> (c3_1 (a210)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (~(hskp5)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H135 zenon_H175 zenon_H176 zenon_H174 zenon_H126 zenon_H127 zenon_H124 zenon_Ha zenon_H2f zenon_H165 zenon_H164 zenon_H2b zenon_H1d zenon_H1f zenon_H1e zenon_H277 zenon_H2d. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H125 | zenon_intro zenon_H137 ]. % 0.62/0.84 apply (zenon_L91_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb | zenon_intro zenon_H2e ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H274 | zenon_intro zenon_H278 ]. % 0.62/0.84 apply (zenon_L264_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1ae | zenon_intro zenon_H18d ]. % 0.62/0.84 apply (zenon_L147_); trivial. % 0.62/0.84 apply (zenon_L170_); trivial. % 0.62/0.84 exact (zenon_H2d zenon_H2e). % 0.62/0.84 (* end of lemma zenon_L387_ *) % 0.62/0.84 assert (zenon_L388_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (c3_1 (a225)) -> (~(c0_1 (a225))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c1_1 (a225))) -> (c3_1 (a200)) -> (c0_1 (a200)) -> (forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))) -> (ndr1_0) -> (~(c3_1 (a222))) -> (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26)))))) -> (c2_1 (a222)) -> (c1_1 (a222)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H277 zenon_H13b zenon_H139 zenon_H75 zenon_H13a zenon_H165 zenon_H164 zenon_H1b zenon_Ha zenon_H124 zenon_Hb zenon_H127 zenon_H126. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H274 | zenon_intro zenon_H278 ]. % 0.62/0.84 apply (zenon_L379_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1ae | zenon_intro zenon_H18d ]. % 0.62/0.84 apply (zenon_L146_); trivial. % 0.62/0.84 apply (zenon_L170_); trivial. % 0.62/0.84 (* end of lemma zenon_L388_ *) % 0.62/0.84 assert (zenon_L389_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> (c1_1 (a193)) -> (~(c3_1 (a193))) -> (~(c0_1 (a193))) -> (c1_1 (a222)) -> (c2_1 (a222)) -> (~(c3_1 (a222))) -> (ndr1_0) -> (c0_1 (a200)) -> (c3_1 (a200)) -> (~(c1_1 (a225))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c0_1 (a225))) -> (c3_1 (a225)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (c0_1 (a189)) -> (c1_1 (a189)) -> (c3_1 (a189)) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp5)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H135 zenon_H175 zenon_H176 zenon_H174 zenon_H126 zenon_H127 zenon_H124 zenon_Ha zenon_H164 zenon_H165 zenon_H13a zenon_H75 zenon_H139 zenon_H13b zenon_H277 zenon_H36 zenon_H37 zenon_H38 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1a6 zenon_H2d. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H125 | zenon_intro zenon_H137 ]. % 0.62/0.84 apply (zenon_L91_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb | zenon_intro zenon_H2e ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.84 apply (zenon_L44_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.84 apply (zenon_L16_); trivial. % 0.62/0.84 apply (zenon_L388_); trivial. % 0.62/0.84 exact (zenon_H2d zenon_H2e). % 0.62/0.84 (* end of lemma zenon_L389_ *) % 0.62/0.84 assert (zenon_L390_ : ((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a200))) -> (~(c0_1 (a193))) -> (~(c3_1 (a193))) -> (c1_1 (a193)) -> (~(c1_1 (a225))) -> (~(c0_1 (a225))) -> (c3_1 (a225)) -> (c0_1 (a200)) -> (c3_1 (a200)) -> (~(c3_1 (a222))) -> (c2_1 (a222)) -> (c1_1 (a222)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c2_1 (a257)) -> (~(c3_1 (a257))) -> (~(c1_1 (a257))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H43 zenon_H74 zenon_H26a zenon_H163 zenon_H174 zenon_H176 zenon_H175 zenon_H13a zenon_H139 zenon_H13b zenon_H164 zenon_H165 zenon_H124 zenon_H127 zenon_H126 zenon_H277 zenon_H2d zenon_H135 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1cf zenon_He3 zenon_He2 zenon_He1 zenon_H1a6. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.84 apply (zenon_L232_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H75 | zenon_intro zenon_H26b ]. % 0.62/0.84 apply (zenon_L389_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H91 | zenon_intro zenon_H15a ]. % 0.62/0.84 apply (zenon_L155_); trivial. % 0.62/0.84 apply (zenon_L77_); trivial. % 0.62/0.84 (* end of lemma zenon_L390_ *) % 0.62/0.84 assert (zenon_L391_ : ((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a200))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c0_1 (a193))) -> (~(c3_1 (a193))) -> (c1_1 (a193)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (c0_1 (a200)) -> (c3_1 (a200)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (c3_1 (a210)) -> (c2_1 (a210)) -> (~(c1_1 (a210))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp15)) -> (~(hskp5)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H145 zenon_H146 zenon_H48 zenon_H74 zenon_H26a zenon_H163 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1cf zenon_H1a6 zenon_H174 zenon_H176 zenon_H175 zenon_H277 zenon_H164 zenon_H165 zenon_H2f zenon_H1e zenon_H1f zenon_H1d zenon_H135 zenon_Hce zenon_H3 zenon_H2d zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf9. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_Ha. zenon_intro zenon_H147. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H126. zenon_intro zenon_H148. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H127. zenon_intro zenon_H124. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.84 apply (zenon_L330_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.84 apply (zenon_L48_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.84 apply (zenon_L387_); trivial. % 0.62/0.84 apply (zenon_L390_); trivial. % 0.62/0.84 (* end of lemma zenon_L391_ *) % 0.62/0.84 assert (zenon_L392_ : ((ndr1_0)/\((c0_1 (a195))/\((~(c1_1 (a195)))/\(~(c3_1 (a195)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/(hskp14))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a193))) -> (~(c3_1 (a193))) -> (c1_1 (a193)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H1e1 zenon_H1e3 zenon_Hb1 zenon_H158 zenon_H277 zenon_H26a zenon_H280 zenon_H1c2 zenon_H195 zenon_H41 zenon_H174 zenon_H176 zenon_H175 zenon_H135 zenon_H101 zenon_Hf9 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H2d zenon_Hce zenon_H74 zenon_H117 zenon_H2f zenon_Hf3 zenon_H2a4 zenon_H1a6 zenon_H1cf zenon_H48 zenon_H146 zenon_H1c3 zenon_Haf. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e5. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_Hc3. zenon_intro zenon_H1e6. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Hc1. zenon_intro zenon_Hc2. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hff | zenon_intro zenon_H119 ]. % 0.62/0.84 apply (zenon_L58_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11a. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H110. zenon_intro zenon_H11b. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.84 apply (zenon_L330_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.84 apply (zenon_L48_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.84 apply (zenon_L339_); trivial. % 0.62/0.84 apply (zenon_L374_); trivial. % 0.62/0.84 apply (zenon_L375_); trivial. % 0.62/0.84 apply (zenon_L378_); trivial. % 0.62/0.84 apply (zenon_L92_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H1 | zenon_intro zenon_Ha8 ]. % 0.62/0.84 apply (zenon_L383_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H1f. zenon_intro zenon_Haa. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.62/0.84 apply (zenon_L386_); trivial. % 0.62/0.84 apply (zenon_L391_); trivial. % 0.62/0.84 apply (zenon_L92_); trivial. % 0.62/0.84 (* end of lemma zenon_L392_ *) % 0.62/0.84 assert (zenon_L393_ : ((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> (~(hskp2)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H1e7 zenon_H146 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H1ea zenon_H1eb zenon_H1ec zenon_H41 zenon_H195. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H1c | zenon_intro zenon_H196 ]. % 0.62/0.84 apply (zenon_L337_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18d | zenon_intro zenon_H42 ]. % 0.62/0.84 apply (zenon_L125_); trivial. % 0.62/0.84 exact (zenon_H41 zenon_H42). % 0.62/0.84 apply (zenon_L130_); trivial. % 0.62/0.84 (* end of lemma zenon_L393_ *) % 0.62/0.84 assert (zenon_L394_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp2)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> (ndr1_0) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> (~(hskp7)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/((hskp7)\/(hskp9))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H1e2 zenon_H146 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H41 zenon_H195 zenon_Ha zenon_H1ea zenon_H1eb zenon_H1ec zenon_H234 zenon_H236. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.84 apply (zenon_L249_); trivial. % 0.62/0.84 apply (zenon_L393_); trivial. % 0.62/0.84 (* end of lemma zenon_L394_ *) % 0.62/0.84 assert (zenon_L395_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> (~(hskp2)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> (ndr1_0) -> (~(c0_1 (a197))) -> (~(c2_1 (a197))) -> (c1_1 (a197)) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/((hskp8)\/(hskp9))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H1e2 zenon_H146 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H1ea zenon_H1eb zenon_H1ec zenon_H41 zenon_H195 zenon_Ha zenon_H24b zenon_H24c zenon_H24d zenon_H6d zenon_H254. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.84 apply (zenon_L201_); trivial. % 0.62/0.84 apply (zenon_L393_); trivial. % 0.62/0.84 (* end of lemma zenon_L395_ *) % 0.62/0.84 assert (zenon_L396_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (c3_1 (a225)) -> (~(c0_1 (a225))) -> (~(c1_1 (a225))) -> (c3_1 (a198)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c2_1 (a198))) -> (ndr1_0) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H277 zenon_H13b zenon_H139 zenon_H13a zenon_Hb5 zenon_H75 zenon_Hb7 zenon_Ha zenon_H1ea zenon_H1eb zenon_H1ec. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H274 | zenon_intro zenon_H278 ]. % 0.62/0.84 apply (zenon_L379_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1ae | zenon_intro zenon_H18d ]. % 0.62/0.84 apply (zenon_L210_); trivial. % 0.62/0.84 apply (zenon_L125_); trivial. % 0.62/0.84 (* end of lemma zenon_L396_ *) % 0.62/0.84 assert (zenon_L397_ : ((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (~(c1_1 (a225))) -> (~(c0_1 (a225))) -> (c3_1 (a225)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> False). % 0.62/0.84 do 0 intro. intros zenon_Hf5 zenon_Hf3 zenon_H1ec zenon_H1eb zenon_H1ea zenon_Hb7 zenon_Hb5 zenon_H13a zenon_H139 zenon_H13b zenon_H277 zenon_H293 zenon_H294 zenon_H295. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.84 apply (zenon_L396_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.84 apply (zenon_L50_); trivial. % 0.62/0.84 apply (zenon_L328_); trivial. % 0.62/0.84 (* end of lemma zenon_L397_ *) % 0.62/0.84 assert (zenon_L398_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp15)) -> (~(hskp5)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H146 zenon_Hf3 zenon_Hb7 zenon_Hb5 zenon_H1ea zenon_H1eb zenon_H1ec zenon_H277 zenon_Hce zenon_H3 zenon_H2d zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf9. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.84 apply (zenon_L330_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.84 apply (zenon_L48_); trivial. % 0.62/0.84 apply (zenon_L397_); trivial. % 0.62/0.84 (* end of lemma zenon_L398_ *) % 0.62/0.84 assert (zenon_L399_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> (~(hskp9)) -> (~(hskp11)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (c3_1 (a198)) -> (~(c2_1 (a198))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_Haf zenon_H19 zenon_H17 zenon_H15 zenon_Hf9 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H2d zenon_Hce zenon_H277 zenon_H1ec zenon_H1eb zenon_H1ea zenon_Hb5 zenon_Hb7 zenon_Hf3 zenon_H146. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.84 apply (zenon_L398_); trivial. % 0.62/0.84 apply (zenon_L132_); trivial. % 0.62/0.84 (* end of lemma zenon_L399_ *) % 0.62/0.84 assert (zenon_L400_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/(hskp14))) -> (~(hskp14)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_Haf zenon_H195 zenon_H41 zenon_H1ec zenon_H1eb zenon_H1ea zenon_H80 zenon_H81 zenon_H82 zenon_H202 zenon_Hf9 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H2d zenon_Hce zenon_H280 zenon_H1 zenon_Hf3 zenon_H146. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.84 apply (zenon_L382_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.84 apply (zenon_L335_); trivial. % 0.62/0.84 apply (zenon_L130_); trivial. % 0.62/0.84 (* end of lemma zenon_L400_ *) % 0.62/0.84 assert (zenon_L401_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21)))))) -> (ndr1_0) -> (c0_1 (a190)) -> (c2_1 (a190)) -> (~(c3_1 (a190))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H202 zenon_He zenon_Hd zenon_Hc zenon_H82 zenon_H81 zenon_H80 zenon_He0 zenon_Ha zenon_H294 zenon_H295 zenon_H293. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_Hb | zenon_intro zenon_H203 ]. % 0.62/0.84 apply (zenon_L6_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H7f | zenon_intro zenon_H1f5 ]. % 0.62/0.84 apply (zenon_L30_); trivial. % 0.62/0.84 apply (zenon_L333_); trivial. % 0.62/0.84 (* end of lemma zenon_L401_ *) % 0.62/0.84 assert (zenon_L402_ : ((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (~(c1_1 (a210))) -> (c2_1 (a210)) -> (c3_1 (a210)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> False). % 0.62/0.84 do 0 intro. intros zenon_Hb2 zenon_Hf3 zenon_H1ec zenon_H1eb zenon_H1ea zenon_Hb7 zenon_Hb5 zenon_H1d zenon_H1f zenon_H1e zenon_H277 zenon_H80 zenon_H81 zenon_H82 zenon_H202 zenon_H293 zenon_H294 zenon_H295. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.84 apply (zenon_L303_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.84 apply (zenon_L401_); trivial. % 0.62/0.84 apply (zenon_L328_); trivial. % 0.62/0.84 (* end of lemma zenon_L402_ *) % 0.62/0.84 assert (zenon_L403_ : ((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (c3_1 (a198)) -> (~(c2_1 (a198))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_Ha8 zenon_Haf zenon_H80 zenon_H81 zenon_H82 zenon_H202 zenon_Hf9 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H2d zenon_Hce zenon_H277 zenon_H1ec zenon_H1eb zenon_H1ea zenon_Hb5 zenon_Hb7 zenon_Hf3 zenon_H146. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H1f. zenon_intro zenon_Haa. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.84 apply (zenon_L398_); trivial. % 0.62/0.84 apply (zenon_L402_); trivial. % 0.62/0.84 (* end of lemma zenon_L403_ *) % 0.62/0.84 assert (zenon_L404_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c0_1 (a214))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H136 zenon_Hd zenon_He zenon_Hc zenon_H91 zenon_H295 zenon_H294 zenon_H293 zenon_Ha zenon_H133. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He0 | zenon_intro zenon_H138 ]. % 0.62/0.84 apply (zenon_L111_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hea | zenon_intro zenon_H134 ]. % 0.62/0.84 apply (zenon_L328_); trivial. % 0.62/0.84 exact (zenon_H133 zenon_H134). % 0.62/0.84 (* end of lemma zenon_L404_ *) % 0.62/0.84 assert (zenon_L405_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> (~(hskp19)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> (~(c0_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a215)) -> (c3_1 (a215)) -> (c1_1 (a215)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H193 zenon_H133 zenon_H293 zenon_H294 zenon_H295 zenon_Hc zenon_He zenon_Hd zenon_H136 zenon_H5f zenon_H60 zenon_H61 zenon_H149 zenon_Ha zenon_H4b. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H91 | zenon_intro zenon_H194 ]. % 0.62/0.84 apply (zenon_L404_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H1b | zenon_intro zenon_H4c ]. % 0.62/0.84 apply (zenon_L114_); trivial. % 0.62/0.84 exact (zenon_H4b zenon_H4c). % 0.62/0.84 (* end of lemma zenon_L405_ *) % 0.62/0.84 assert (zenon_L406_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c0_1 (a214))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp19)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H6f zenon_H156 zenon_H106 zenon_H105 zenon_H104 zenon_H4b zenon_H136 zenon_Hd zenon_He zenon_Hc zenon_H295 zenon_H294 zenon_H293 zenon_H133 zenon_H193 zenon_H14d zenon_H14e zenon_H14f. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.84 apply (zenon_L59_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.84 apply (zenon_L405_); trivial. % 0.62/0.84 apply (zenon_L73_); trivial. % 0.62/0.84 (* end of lemma zenon_L406_ *) % 0.62/0.84 assert (zenon_L407_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c0_1 (a214))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (ndr1_0) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H74 zenon_H156 zenon_H14f zenon_H14e zenon_H14d zenon_H136 zenon_H133 zenon_Hd zenon_He zenon_Hc zenon_H4b zenon_H193 zenon_H106 zenon_H105 zenon_H104 zenon_Ha zenon_H293 zenon_H294 zenon_H295 zenon_H89 zenon_H2a4. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.84 apply (zenon_L339_); trivial. % 0.62/0.84 apply (zenon_L406_); trivial. % 0.62/0.84 (* end of lemma zenon_L407_ *) % 0.62/0.84 assert (zenon_L408_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c0_1 (a214))) -> (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21)))))) -> (c2_1 (a215)) -> (c3_1 (a215)) -> (c1_1 (a215)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H193 zenon_Hd zenon_He zenon_Hc zenon_He0 zenon_H5f zenon_H60 zenon_H61 zenon_H149 zenon_Ha zenon_H4b. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H91 | zenon_intro zenon_H194 ]. % 0.62/0.84 apply (zenon_L111_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H1b | zenon_intro zenon_H4c ]. % 0.62/0.84 apply (zenon_L114_); trivial. % 0.62/0.84 exact (zenon_H4b zenon_H4c). % 0.62/0.84 (* end of lemma zenon_L408_ *) % 0.62/0.84 assert (zenon_L409_ : ((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (c3_1 (a198)) -> (~(c2_1 (a198))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> (~(hskp10)) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (c2_1 (a199)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_Hb2 zenon_H146 zenon_H277 zenon_H1ec zenon_H1eb zenon_H1ea zenon_Hb5 zenon_Hb7 zenon_Hf3 zenon_H2a4 zenon_H89 zenon_H295 zenon_H294 zenon_H293 zenon_H104 zenon_H105 zenon_H106 zenon_H193 zenon_H4b zenon_H136 zenon_H14d zenon_H14e zenon_H14f zenon_H156 zenon_H74. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.84 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.84 apply (zenon_L407_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.84 apply (zenon_L339_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.84 apply (zenon_L59_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.84 apply (zenon_L396_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.84 apply (zenon_L408_); trivial. % 0.62/0.84 apply (zenon_L328_); trivial. % 0.62/0.84 apply (zenon_L73_); trivial. % 0.62/0.84 (* end of lemma zenon_L409_ *) % 0.62/0.84 assert (zenon_L410_ : ((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210))))))) -> (c1_1 (a198)) -> ((hskp14)\/((hskp15)\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H1e7 zenon_H1e3 zenon_H1e4 zenon_H1c0 zenon_Hb1 zenon_Hb6 zenon_H7 zenon_H74 zenon_H156 zenon_H14f zenon_H14e zenon_H14d zenon_H136 zenon_H4b zenon_H193 zenon_H293 zenon_H294 zenon_H295 zenon_H2a4 zenon_Hf3 zenon_Hb7 zenon_Hb5 zenon_H1ea zenon_H1eb zenon_H1ec zenon_H277 zenon_H146 zenon_Haf zenon_H4d zenon_Hae. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H1 | zenon_intro zenon_Ha8 ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.84 apply (zenon_L4_); trivial. % 0.62/0.84 apply (zenon_L409_); trivial. % 0.62/0.84 apply (zenon_L316_); trivial. % 0.62/0.84 apply (zenon_L39_); trivial. % 0.62/0.84 apply (zenon_L318_); trivial. % 0.62/0.84 (* end of lemma zenon_L410_ *) % 0.62/0.84 assert (zenon_L411_ : ((ndr1_0)/\((c0_1 (a194))/\((~(c1_1 (a194)))/\(~(c2_1 (a194)))))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a195))/\((~(c1_1 (a195)))/\(~(c3_1 (a195))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((hskp23)\/((hskp9)\/(hskp2))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> ((hskp14)\/((hskp15)\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp13))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a198))/\((c3_1 (a198))/\(~(c2_1 (a198))))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a197))/\((~(c0_1 (a197)))/\(~(c2_1 (a197))))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H219 zenon_H2ba zenon_H1e2 zenon_H26a zenon_H146 zenon_H156 zenon_H1d3 zenon_H41 zenon_H1a6 zenon_Hf3 zenon_H2a4 zenon_H295 zenon_H294 zenon_H293 zenon_H19d zenon_H136 zenon_H2a6 zenon_H74 zenon_H158 zenon_H1e3 zenon_H1ea zenon_H1eb zenon_H1ec zenon_H195 zenon_H254 zenon_H48 zenon_Hbe zenon_Hae zenon_H4d zenon_Haf zenon_H277 zenon_H193 zenon_H7 zenon_Hb1 zenon_H1c0 zenon_H1e4 zenon_H28f zenon_H28e. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H14f. zenon_intro zenon_H21b. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H4b | zenon_intro zenon_H1e1 ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H234 | zenon_intro zenon_H290 ]. % 0.62/0.84 apply (zenon_L361_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H291. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H24d. zenon_intro zenon_H292. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H6d | zenon_intro zenon_H287 ]. % 0.62/0.84 apply (zenon_L395_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Hb6. zenon_intro zenon_H289. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hb5. zenon_intro zenon_Hb7. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.84 apply (zenon_L94_); trivial. % 0.62/0.84 apply (zenon_L410_); trivial. % 0.62/0.84 apply (zenon_L370_); trivial. % 0.62/0.84 (* end of lemma zenon_L411_ *) % 0.62/0.84 assert (zenon_L412_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (c3_1 (a225)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c0_1 (a225))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H243 zenon_H13b zenon_H75 zenon_H139 zenon_H21d zenon_H21e zenon_H21c zenon_Ha zenon_H1be. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H5e | zenon_intro zenon_H244 ]. % 0.62/0.84 apply (zenon_L347_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H238 | zenon_intro zenon_H1bf ]. % 0.62/0.84 apply (zenon_L176_); trivial. % 0.62/0.84 exact (zenon_H1be zenon_H1bf). % 0.62/0.84 (* end of lemma zenon_L412_ *) % 0.62/0.84 assert (zenon_L413_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp13)) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c0_1 (a225))) -> (c3_1 (a225)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(hskp7)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H6f zenon_Hf3 zenon_H1be zenon_H21c zenon_H21e zenon_H21d zenon_H139 zenon_H13b zenon_H243 zenon_H234 zenon_H19d zenon_H14f zenon_H14e zenon_H14d zenon_H17 zenon_H2a6 zenon_H293 zenon_H294 zenon_H295. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.84 apply (zenon_L412_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.84 apply (zenon_L344_); trivial. % 0.62/0.84 apply (zenon_L328_); trivial. % 0.62/0.84 (* end of lemma zenon_L413_ *) % 0.62/0.84 assert (zenon_L414_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> (~(hskp9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (~(hskp7)) -> (~(c0_1 (a225))) -> (~(c1_1 (a225))) -> (c3_1 (a225)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (c3_1 (a209)) -> (c1_1 (a209)) -> (~(c0_1 (a209))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H6f zenon_H156 zenon_H295 zenon_H294 zenon_H293 zenon_H2a6 zenon_H17 zenon_H19d zenon_H234 zenon_H139 zenon_H13a zenon_H13b zenon_Hf3 zenon_H1d7 zenon_H1d6 zenon_H1d5 zenon_H14d zenon_H14e zenon_H14f. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.84 apply (zenon_L345_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.84 apply (zenon_L119_); trivial. % 0.62/0.84 apply (zenon_L73_); trivial. % 0.62/0.84 (* end of lemma zenon_L414_ *) % 0.62/0.84 assert (zenon_L415_ : ((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (c3_1 (a200)) -> (c0_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(c3_1 (a190))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(hskp7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H1de zenon_H146 zenon_H156 zenon_Hf3 zenon_H158 zenon_H165 zenon_H164 zenon_H163 zenon_H14f zenon_H14e zenon_H14d zenon_H19d zenon_H17 zenon_H136 zenon_H293 zenon_H295 zenon_H294 zenon_H234 zenon_H2a6 zenon_H74. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_Ha. zenon_intro zenon_H1df. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d6. zenon_intro zenon_H1e0. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d5. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.84 apply (zenon_L354_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.84 apply (zenon_L78_); trivial. % 0.62/0.84 apply (zenon_L414_); trivial. % 0.62/0.84 (* end of lemma zenon_L415_ *) % 0.62/0.84 assert (zenon_L416_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(hskp19)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.62/0.84 do 0 intro. intros zenon_H243 zenon_H133 zenon_H293 zenon_H294 zenon_H295 zenon_H105 zenon_H104 zenon_H106 zenon_H136 zenon_H21d zenon_H21e zenon_H21c zenon_Ha zenon_H1be. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H5e | zenon_intro zenon_H244 ]. % 0.62/0.84 apply (zenon_L355_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H238 | zenon_intro zenon_H1bf ]. % 0.62/0.84 apply (zenon_L176_); trivial. % 0.62/0.84 exact (zenon_H1be zenon_H1bf). % 0.62/0.84 (* end of lemma zenon_L416_ *) % 0.62/0.84 assert (zenon_L417_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (c2_1 (a199)) -> (~(c0_1 (a199))) -> (~(c1_1 (a199))) -> (ndr1_0) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(hskp13)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H146 zenon_Hf3 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H106 zenon_H104 zenon_H105 zenon_Ha zenon_H21c zenon_H21e zenon_H21d zenon_H1be zenon_H243. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.84 apply (zenon_L416_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.84 apply (zenon_L412_); trivial. % 0.62/0.84 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.84 apply (zenon_L182_); trivial. % 0.62/0.84 apply (zenon_L328_); trivial. % 0.62/0.84 (* end of lemma zenon_L417_ *) % 0.62/0.84 assert (zenon_L418_ : ((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H1e7 zenon_H1e4 zenon_H156 zenon_H14f zenon_H14e zenon_H14d zenon_H243 zenon_H21d zenon_H21e zenon_H21c zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf3 zenon_H146. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.84 apply (zenon_L417_); trivial. % 0.62/0.84 apply (zenon_L120_); trivial. % 0.62/0.84 (* end of lemma zenon_L418_ *) % 0.62/0.84 assert (zenon_L419_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (ndr1_0) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> False). % 0.62/0.84 do 0 intro. intros zenon_H1e2 zenon_H1e4 zenon_H245 zenon_H74 zenon_H2a6 zenon_H234 zenon_H136 zenon_H14d zenon_H14e zenon_H14f zenon_H19d zenon_Ha zenon_H293 zenon_H294 zenon_H295 zenon_H2a4 zenon_H243 zenon_H21d zenon_H21e zenon_H21c zenon_Hf3 zenon_H146 zenon_H158 zenon_H156 zenon_H1e3. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.84 apply (zenon_L342_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.84 apply (zenon_L339_); trivial. % 0.62/0.84 apply (zenon_L413_); trivial. % 0.62/0.84 apply (zenon_L188_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.84 apply (zenon_L354_); trivial. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.84 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.84 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.84 apply (zenon_L78_); trivial. % 0.62/0.84 apply (zenon_L413_); trivial. % 0.62/0.84 apply (zenon_L415_); trivial. % 0.62/0.84 apply (zenon_L418_); trivial. % 0.62/0.84 (* end of lemma zenon_L419_ *) % 0.62/0.84 assert (zenon_L420_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> (ndr1_0) -> (~(c0_1 (a197))) -> (~(c2_1 (a197))) -> (c1_1 (a197)) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/((hskp8)\/(hskp9))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H1e2 zenon_H1e4 zenon_H156 zenon_H14f zenon_H14e zenon_H14d zenon_H243 zenon_H21d zenon_H21e zenon_H21c zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf3 zenon_H146 zenon_Ha zenon_H24b zenon_H24c zenon_H24d zenon_H6d zenon_H254. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.85 apply (zenon_L201_); trivial. % 0.62/0.85 apply (zenon_L418_); trivial. % 0.62/0.85 (* end of lemma zenon_L420_ *) % 0.62/0.85 assert (zenon_L421_ : ((ndr1_0)/\((c1_1 (a198))/\((c3_1 (a198))/\(~(c2_1 (a198)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp3)\/(hskp12))) -> (~(hskp3)) -> (c1_1 (a197)) -> (~(c0_1 (a197))) -> (~(c2_1 (a197))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H287 zenon_H1e2 zenon_Hae zenon_H182 zenon_H31 zenon_H24d zenon_H24b zenon_H24c zenon_H156 zenon_H48 zenon_H19d zenon_H14f zenon_H14e zenon_H14d zenon_Hcc zenon_H21e zenon_H21d zenon_H21c zenon_H4b zenon_H4d zenon_H23b zenon_Hfc. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Hb6. zenon_intro zenon_H289. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hb5. zenon_intro zenon_Hb7. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.85 apply (zenon_L313_); trivial. % 0.62/0.85 apply (zenon_L362_); trivial. % 0.62/0.85 (* end of lemma zenon_L421_ *) % 0.62/0.85 assert (zenon_L422_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c3_1 (a225)) -> (~(c1_1 (a225))) -> (~(c0_1 (a225))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (c2_1 (a215)) -> (c3_1 (a215)) -> (c1_1 (a215)) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (ndr1_0) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> False). % 0.62/0.85 do 0 intro. intros zenon_H156 zenon_H13b zenon_H13a zenon_H139 zenon_H75 zenon_H5f zenon_H60 zenon_H61 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1a6 zenon_Ha zenon_H14d zenon_H14e zenon_H14f. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.85 apply (zenon_L343_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.85 apply (zenon_L121_); trivial. % 0.62/0.85 apply (zenon_L73_); trivial. % 0.62/0.85 (* end of lemma zenon_L422_ *) % 0.62/0.85 assert (zenon_L423_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (~(c0_1 (a225))) -> (~(c1_1 (a225))) -> (c3_1 (a225)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (~(hskp7)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (~(hskp9)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> False). % 0.62/0.85 do 0 intro. intros zenon_H6f zenon_Hf3 zenon_H1a6 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H139 zenon_H13a zenon_H13b zenon_H156 zenon_H234 zenon_H19d zenon_H14f zenon_H14e zenon_H14d zenon_H17 zenon_H2a6 zenon_H293 zenon_H294 zenon_H295. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.85 apply (zenon_L422_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.85 apply (zenon_L344_); trivial. % 0.62/0.85 apply (zenon_L328_); trivial. % 0.62/0.85 (* end of lemma zenon_L423_ *) % 0.62/0.85 assert (zenon_L424_ : ((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(c3_1 (a190))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(hskp7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H16c zenon_H146 zenon_Hf3 zenon_H1a6 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H156 zenon_H158 zenon_H14f zenon_H14e zenon_H14d zenon_H19d zenon_H17 zenon_H136 zenon_H293 zenon_H295 zenon_H294 zenon_H234 zenon_H2a6 zenon_H74. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.85 apply (zenon_L354_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.85 apply (zenon_L78_); trivial. % 0.62/0.85 apply (zenon_L423_); trivial. % 0.62/0.85 (* end of lemma zenon_L424_ *) % 0.62/0.85 assert (zenon_L425_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (ndr1_0) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(hskp7)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H1e2 zenon_H146 zenon_Hf3 zenon_H1a6 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H156 zenon_H2a4 zenon_H295 zenon_H294 zenon_H293 zenon_Ha zenon_H19d zenon_H14f zenon_H14e zenon_H14d zenon_H136 zenon_H234 zenon_H2a6 zenon_H74 zenon_H158 zenon_H1e3. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.85 apply (zenon_L342_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.85 apply (zenon_L339_); trivial. % 0.62/0.85 apply (zenon_L423_); trivial. % 0.62/0.85 apply (zenon_L424_); trivial. % 0.62/0.85 apply (zenon_L369_); trivial. % 0.62/0.85 (* end of lemma zenon_L425_ *) % 0.62/0.85 assert (zenon_L426_ : ((ndr1_0)/\((c0_1 (a195))/\((~(c1_1 (a195)))/\(~(c3_1 (a195)))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a197))/\((~(c0_1 (a197)))/\(~(c2_1 (a197))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a198))/\((c3_1 (a198))/\(~(c2_1 (a198))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_1 (a221)))/\(~(c2_1 (a221))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H1e1 zenon_H28e zenon_H28f zenon_H48 zenon_Hcc zenon_H23b zenon_Hfc zenon_H254 zenon_H21c zenon_H21e zenon_H21d zenon_H243 zenon_H1e4 zenon_H1e3 zenon_H158 zenon_H74 zenon_H2a6 zenon_H136 zenon_H14d zenon_H14e zenon_H14f zenon_H19d zenon_H293 zenon_H294 zenon_H295 zenon_H2a4 zenon_H156 zenon_H1a6 zenon_Hf3 zenon_H146 zenon_H1e2. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e5. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_Hc3. zenon_intro zenon_H1e6. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Hc1. zenon_intro zenon_Hc2. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H234 | zenon_intro zenon_H290 ]. % 0.62/0.85 apply (zenon_L425_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H291. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H24d. zenon_intro zenon_H292. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H6d | zenon_intro zenon_H287 ]. % 0.62/0.85 apply (zenon_L420_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Hb6. zenon_intro zenon_H289. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hb5. zenon_intro zenon_Hb7. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.85 apply (zenon_L323_); trivial. % 0.62/0.85 apply (zenon_L369_); trivial. % 0.62/0.85 (* end of lemma zenon_L426_ *) % 0.62/0.85 assert (zenon_L427_ : ((ndr1_0)/\((c0_1 (a194))/\((~(c1_1 (a194)))/\(~(c2_1 (a194)))))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a195))/\((~(c1_1 (a195)))/\(~(c3_1 (a195))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((~(c0_1 (a221)))/\((~(c1_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)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp23)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp3)\/(hskp12))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a198))/\((c3_1 (a198))/\(~(c2_1 (a198))))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a197))/\((~(c0_1 (a197)))/\(~(c2_1 (a197))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H219 zenon_H2ba zenon_H1a6 zenon_H1e2 zenon_H1e4 zenon_H245 zenon_H74 zenon_H2a6 zenon_H136 zenon_H19d zenon_H293 zenon_H294 zenon_H295 zenon_H2a4 zenon_H243 zenon_H21d zenon_H21e zenon_H21c zenon_Hf3 zenon_H146 zenon_H158 zenon_H156 zenon_H1e3 zenon_H254 zenon_Hfc zenon_H23b zenon_H4d zenon_Hcc zenon_H48 zenon_H31 zenon_H182 zenon_Hae zenon_H28f zenon_H28e. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H14f. zenon_intro zenon_H21b. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H4b | zenon_intro zenon_H1e1 ]. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H234 | zenon_intro zenon_H290 ]. % 0.62/0.85 apply (zenon_L419_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H291. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H24d. zenon_intro zenon_H292. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H6d | zenon_intro zenon_H287 ]. % 0.62/0.85 apply (zenon_L420_); trivial. % 0.62/0.85 apply (zenon_L421_); trivial. % 0.62/0.85 apply (zenon_L426_); trivial. % 0.62/0.85 (* end of lemma zenon_L427_ *) % 0.62/0.85 assert (zenon_L428_ : ((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp13)) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c0_1 (a225))) -> (c3_1 (a225)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> False). % 0.62/0.85 do 0 intro. intros zenon_Hf5 zenon_Hf3 zenon_H1be zenon_H21c zenon_H21e zenon_H21d zenon_H139 zenon_H13b zenon_H243 zenon_H293 zenon_H294 zenon_H295. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.85 apply (zenon_L412_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.85 apply (zenon_L50_); trivial. % 0.62/0.85 apply (zenon_L328_); trivial. % 0.62/0.85 (* end of lemma zenon_L428_ *) % 0.62/0.85 assert (zenon_L429_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(hskp13)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp15)) -> (~(hskp5)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H146 zenon_Hf3 zenon_H21c zenon_H21e zenon_H21d zenon_H1be zenon_H243 zenon_Hce zenon_H3 zenon_H2d zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf9. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.85 apply (zenon_L330_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.85 apply (zenon_L48_); trivial. % 0.62/0.85 apply (zenon_L428_); trivial. % 0.62/0.85 (* end of lemma zenon_L429_ *) % 0.62/0.85 assert (zenon_L430_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> (c1_1 (a193)) -> (~(c3_1 (a193))) -> (~(c0_1 (a193))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_Haf zenon_H135 zenon_H175 zenon_H176 zenon_H174 zenon_Hf9 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H2d zenon_Hce zenon_H243 zenon_H1be zenon_H21d zenon_H21e zenon_H21c zenon_Hf3 zenon_H146. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.85 apply (zenon_L429_); trivial. % 0.62/0.85 apply (zenon_L92_); trivial. % 0.62/0.85 (* end of lemma zenon_L430_ *) % 0.62/0.85 assert (zenon_L431_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp5)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> (~(c0_1 (a193))) -> (~(c3_1 (a193))) -> (c1_1 (a193)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H1e4 zenon_H245 zenon_H89 zenon_H146 zenon_Hf3 zenon_H21c zenon_H21e zenon_H21d zenon_H243 zenon_Hce zenon_H2d zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf9 zenon_H174 zenon_H176 zenon_H175 zenon_H135 zenon_Haf. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.85 apply (zenon_L430_); trivial. % 0.62/0.85 apply (zenon_L188_); trivial. % 0.62/0.85 (* end of lemma zenon_L431_ *) % 0.62/0.85 assert (zenon_L432_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(c1_1 (a257))) -> (~(c3_1 (a257))) -> (c2_1 (a257)) -> (~(c0_1 (a225))) -> (~(c1_1 (a225))) -> (c3_1 (a225)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (c3_1 (a209)) -> (c1_1 (a209)) -> (~(c0_1 (a209))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp5)) -> False). % 0.62/0.85 do 0 intro. intros zenon_H156 zenon_H295 zenon_H294 zenon_H293 zenon_He1 zenon_He2 zenon_He3 zenon_H139 zenon_H13a zenon_H13b zenon_Hf3 zenon_H1d7 zenon_H1d6 zenon_H1d5 zenon_H2f zenon_H165 zenon_H163 zenon_H164 zenon_Ha zenon_H2b zenon_H2d. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.85 apply (zenon_L372_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.85 apply (zenon_L119_); trivial. % 0.62/0.85 apply (zenon_L196_); trivial. % 0.62/0.85 (* end of lemma zenon_L432_ *) % 0.62/0.85 assert (zenon_L433_ : ((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (c3_1 (a225)) -> (~(c1_1 (a225))) -> (~(c0_1 (a225))) -> (~(c0_1 (a209))) -> (c1_1 (a209)) -> (c3_1 (a209)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_Hf5 zenon_H48 zenon_H1a6 zenon_H21e zenon_H21d zenon_H21c zenon_H4b zenon_H23e zenon_Hf3 zenon_H295 zenon_H294 zenon_H293 zenon_H13b zenon_H13a zenon_H139 zenon_H1d5 zenon_H1d6 zenon_H1d7 zenon_H2f zenon_H2d zenon_H165 zenon_H163 zenon_H164 zenon_H156. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.85 apply (zenon_L432_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.85 apply (zenon_L372_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.85 apply (zenon_L119_); trivial. % 0.62/0.85 apply (zenon_L194_); trivial. % 0.62/0.85 (* end of lemma zenon_L433_ *) % 0.62/0.85 assert (zenon_L434_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c1_1 (a191))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c0_1 (a209))) -> (c1_1 (a209)) -> (c3_1 (a209)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp15)) -> (~(hskp5)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H146 zenon_H48 zenon_H1a6 zenon_H21e zenon_H21d zenon_H21c zenon_H4b zenon_H23e zenon_Hf3 zenon_H1d5 zenon_H1d6 zenon_H1d7 zenon_H2f zenon_H165 zenon_H163 zenon_H164 zenon_H156 zenon_Hce zenon_H3 zenon_H2d zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf9. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.85 apply (zenon_L330_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.85 apply (zenon_L48_); trivial. % 0.62/0.85 apply (zenon_L433_); trivial. % 0.62/0.85 (* end of lemma zenon_L434_ *) % 0.62/0.85 assert (zenon_L435_ : ((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> (~(hskp9)) -> (~(hskp11)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c0_1 (a200)) -> (~(c1_1 (a200))) -> (c3_1 (a200)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a191))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H1de zenon_Haf zenon_H19 zenon_H17 zenon_H15 zenon_Hf9 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H2d zenon_Hce zenon_H156 zenon_H164 zenon_H163 zenon_H165 zenon_H2f zenon_Hf3 zenon_H23e zenon_H4b zenon_H21c zenon_H21d zenon_H21e zenon_H1a6 zenon_H48 zenon_H146. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_Ha. zenon_intro zenon_H1df. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d6. zenon_intro zenon_H1e0. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d5. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.85 apply (zenon_L434_); trivial. % 0.62/0.85 apply (zenon_L132_); trivial. % 0.62/0.85 (* end of lemma zenon_L435_ *) % 0.62/0.85 assert (zenon_L436_ : ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63)))))) -> (~(c3_1 (a190))) -> (ndr1_0) -> (c0_1 (a189)) -> (c1_1 (a189)) -> (c3_1 (a189)) -> False). % 0.62/0.85 do 0 intro. intros zenon_H214 zenon_H82 zenon_H81 zenon_H80 zenon_H295 zenon_H294 zenon_Hc0 zenon_H293 zenon_Ha zenon_H36 zenon_H37 zenon_H38. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H7f | zenon_intro zenon_H215 ]. % 0.62/0.85 apply (zenon_L30_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H211 | zenon_intro zenon_H35 ]. % 0.62/0.85 apply (zenon_L364_); trivial. % 0.62/0.85 apply (zenon_L16_); trivial. % 0.62/0.85 (* end of lemma zenon_L436_ *) % 0.62/0.85 assert (zenon_L437_ : ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c2_1 (a257)) -> (~(c3_1 (a257))) -> (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26)))))) -> (~(c1_1 (a257))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21)))))) -> (ndr1_0) -> (c0_1 (a190)) -> (c2_1 (a190)) -> (~(c3_1 (a190))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H271 zenon_He3 zenon_He2 zenon_Hb zenon_He1 zenon_H82 zenon_H81 zenon_H80 zenon_He0 zenon_Ha zenon_H294 zenon_H295 zenon_H293. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H26c | zenon_intro zenon_H203 ]. % 0.62/0.85 apply (zenon_L257_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H7f | zenon_intro zenon_H1f5 ]. % 0.62/0.85 apply (zenon_L30_); trivial. % 0.62/0.85 apply (zenon_L333_); trivial. % 0.62/0.85 (* end of lemma zenon_L437_ *) % 0.62/0.85 assert (zenon_L438_ : ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> (c1_1 (a193)) -> (~(c3_1 (a193))) -> (~(c0_1 (a193))) -> (~(hskp24)) -> (ndr1_0) -> (c0_1 (a189)) -> (c1_1 (a189)) -> (c3_1 (a189)) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c2_1 (a257)) -> (~(c3_1 (a257))) -> (~(c1_1 (a257))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> (~(c3_1 (a190))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp5)) -> False). % 0.62/0.85 do 0 intro. intros zenon_H135 zenon_H175 zenon_H176 zenon_H174 zenon_H58 zenon_Ha zenon_H36 zenon_H37 zenon_H38 zenon_H271 zenon_He3 zenon_He2 zenon_He1 zenon_H82 zenon_H81 zenon_H80 zenon_H294 zenon_H295 zenon_H293 zenon_H1cf zenon_H214 zenon_H1a6 zenon_H2d. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H125 | zenon_intro zenon_H137 ]. % 0.62/0.85 apply (zenon_L91_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_Hb | zenon_intro zenon_H2e ]. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.85 apply (zenon_L436_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.85 apply (zenon_L16_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_He0 | zenon_intro zenon_H1d0 ]. % 0.62/0.85 apply (zenon_L437_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H59 ]. % 0.62/0.85 apply (zenon_L112_); trivial. % 0.62/0.85 exact (zenon_H58 zenon_H59). % 0.62/0.85 exact (zenon_H2d zenon_H2e). % 0.62/0.85 (* end of lemma zenon_L438_ *) % 0.62/0.85 assert (zenon_L439_ : ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63)))))) -> (~(c3_1 (a190))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c1_1 (a215)) -> (c3_1 (a215)) -> False). % 0.62/0.85 do 0 intro. intros zenon_H214 zenon_H82 zenon_H81 zenon_H80 zenon_H295 zenon_H294 zenon_Hc0 zenon_H293 zenon_Ha zenon_H149 zenon_H61 zenon_H60. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H7f | zenon_intro zenon_H215 ]. % 0.62/0.85 apply (zenon_L30_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H211 | zenon_intro zenon_H35 ]. % 0.62/0.85 apply (zenon_L364_); trivial. % 0.62/0.85 apply (zenon_L71_); trivial. % 0.62/0.85 (* end of lemma zenon_L439_ *) % 0.62/0.85 assert (zenon_L440_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c1_1 (a215)) -> (c3_1 (a215)) -> (c2_1 (a215)) -> False). % 0.62/0.85 do 0 intro. intros zenon_H1a6 zenon_H293 zenon_H294 zenon_H295 zenon_H80 zenon_H81 zenon_H82 zenon_H214 zenon_Ha zenon_H149 zenon_H61 zenon_H60 zenon_H5f. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.85 apply (zenon_L439_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.85 apply (zenon_L71_); trivial. % 0.62/0.85 apply (zenon_L114_); trivial. % 0.62/0.85 (* end of lemma zenon_L440_ *) % 0.62/0.85 assert (zenon_L441_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c3_1 (a189)) -> (c1_1 (a189)) -> (c0_1 (a189)) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (c1_1 (a215)) -> (c2_1 (a215)) -> (c3_1 (a215)) -> False). % 0.62/0.85 do 0 intro. intros zenon_H1a6 zenon_H293 zenon_H294 zenon_H295 zenon_H80 zenon_H81 zenon_H82 zenon_H214 zenon_H38 zenon_H37 zenon_H36 zenon_Ha zenon_H91 zenon_H61 zenon_H5f zenon_H60. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.85 apply (zenon_L436_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.85 apply (zenon_L16_); trivial. % 0.62/0.85 apply (zenon_L154_); trivial. % 0.62/0.85 (* end of lemma zenon_L441_ *) % 0.62/0.85 assert (zenon_L442_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> (c3_1 (a215)) -> (c2_1 (a215)) -> (c1_1 (a215)) -> (c0_1 (a189)) -> (c1_1 (a189)) -> (c3_1 (a189)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (c0_1 (a200)) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.62/0.85 do 0 intro. intros zenon_H193 zenon_H60 zenon_H5f zenon_H61 zenon_H36 zenon_H37 zenon_H38 zenon_H214 zenon_H82 zenon_H81 zenon_H80 zenon_H295 zenon_H294 zenon_H293 zenon_H1a6 zenon_H165 zenon_H163 zenon_H14c zenon_H164 zenon_Ha zenon_H4b. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H91 | zenon_intro zenon_H194 ]. % 0.62/0.85 apply (zenon_L441_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H1b | zenon_intro zenon_H4c ]. % 0.62/0.85 apply (zenon_L192_); trivial. % 0.62/0.85 exact (zenon_H4b zenon_H4c). % 0.62/0.85 (* end of lemma zenon_L442_ *) % 0.62/0.85 assert (zenon_L443_ : ((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c0_1 (a200)) -> (~(c1_1 (a200))) -> (c3_1 (a200)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> (~(c0_1 (a225))) -> (~(c1_1 (a225))) -> (c3_1 (a225)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c0_1 (a193))) -> (~(c3_1 (a193))) -> (c1_1 (a193)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c2_1 (a257)) -> (~(c3_1 (a257))) -> (~(c1_1 (a257))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(hskp5)) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H43 zenon_H74 zenon_H156 zenon_H164 zenon_H163 zenon_H165 zenon_H4b zenon_H193 zenon_H139 zenon_H13a zenon_H13b zenon_Hf3 zenon_H174 zenon_H176 zenon_H175 zenon_H1a6 zenon_H271 zenon_He3 zenon_He2 zenon_He1 zenon_H1cf zenon_H80 zenon_H81 zenon_H82 zenon_H293 zenon_H294 zenon_H295 zenon_H214 zenon_H2d zenon_H135. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.85 apply (zenon_L438_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.85 apply (zenon_L372_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.85 apply (zenon_L440_); trivial. % 0.62/0.85 apply (zenon_L442_); trivial. % 0.62/0.85 (* end of lemma zenon_L443_ *) % 0.62/0.85 assert (zenon_L444_ : ((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c0_1 (a200)) -> (~(c1_1 (a200))) -> (c3_1 (a200)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c1_1 (a193)) -> (~(c3_1 (a193))) -> (~(c0_1 (a193))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H1de zenon_Haf zenon_Hf9 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H2d zenon_Hce zenon_H156 zenon_H164 zenon_H163 zenon_H165 zenon_H2f zenon_Hf3 zenon_H135 zenon_H214 zenon_H82 zenon_H81 zenon_H80 zenon_H1cf zenon_H271 zenon_H1a6 zenon_H175 zenon_H176 zenon_H174 zenon_H193 zenon_H4b zenon_H74 zenon_H48 zenon_H146. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_Ha. zenon_intro zenon_H1df. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d6. zenon_intro zenon_H1e0. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d5. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.85 apply (zenon_L330_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.85 apply (zenon_L48_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.85 apply (zenon_L432_); trivial. % 0.62/0.85 apply (zenon_L443_); trivial. % 0.62/0.85 apply (zenon_L92_); trivial. % 0.62/0.85 (* end of lemma zenon_L444_ *) % 0.62/0.85 assert (zenon_L445_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> (~(hskp10)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (ndr1_0) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H1e4 zenon_H245 zenon_H89 zenon_H243 zenon_H21d zenon_H21e zenon_H21c zenon_Ha zenon_H105 zenon_H104 zenon_H106 zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf3 zenon_H146. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.85 apply (zenon_L417_); trivial. % 0.62/0.85 apply (zenon_L188_); trivial. % 0.62/0.85 (* end of lemma zenon_L445_ *) % 0.62/0.85 assert (zenon_L446_ : ((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> (c1_1 (a193)) -> (~(c3_1 (a193))) -> (~(c0_1 (a193))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H1e7 zenon_H1e3 zenon_Haf zenon_H135 zenon_H175 zenon_H176 zenon_H174 zenon_Hf9 zenon_H2d zenon_Hce zenon_H156 zenon_H2f zenon_H23e zenon_H4b zenon_H1a6 zenon_H48 zenon_H146 zenon_Hf3 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H21c zenon_H21e zenon_H21d zenon_H243 zenon_H245 zenon_H1e4. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.85 apply (zenon_L445_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.85 apply (zenon_L417_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_Ha. zenon_intro zenon_H1df. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d6. zenon_intro zenon_H1e0. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d5. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.85 apply (zenon_L330_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.85 apply (zenon_L48_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.85 apply (zenon_L432_); trivial. % 0.62/0.85 apply (zenon_L198_); trivial. % 0.62/0.85 apply (zenon_L92_); trivial. % 0.62/0.85 (* end of lemma zenon_L446_ *) % 0.62/0.85 assert (zenon_L447_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (ndr1_0) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H74 zenon_H245 zenon_H21d zenon_H21e zenon_H21c zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1a6 zenon_Ha zenon_H293 zenon_H294 zenon_H295 zenon_H89 zenon_H2a4. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.85 apply (zenon_L339_); trivial. % 0.62/0.85 apply (zenon_L223_); trivial. % 0.62/0.85 (* end of lemma zenon_L447_ *) % 0.62/0.85 assert (zenon_L448_ : ((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> (c3_1 (a223)) -> (~(c2_1 (a223))) -> (~(c1_1 (a223))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (c3_1 (a225)) -> (~(c1_1 (a225))) -> (~(c0_1 (a225))) -> (~(c0_1 (a209))) -> (c1_1 (a209)) -> (c3_1 (a209)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_Hf5 zenon_H48 zenon_H74 zenon_H117 zenon_H110 zenon_H10f zenon_H10e zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1cf zenon_H1a6 zenon_Hf3 zenon_H295 zenon_H294 zenon_H293 zenon_H13b zenon_H13a zenon_H139 zenon_H1d5 zenon_H1d6 zenon_H1d7 zenon_H2f zenon_H2d zenon_H165 zenon_H163 zenon_H164 zenon_H156. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.85 apply (zenon_L432_); trivial. % 0.62/0.85 apply (zenon_L375_); trivial. % 0.62/0.85 (* end of lemma zenon_L448_ *) % 0.62/0.85 assert (zenon_L449_ : ((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c0_1 (a209))) -> (c1_1 (a209)) -> (c3_1 (a209)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp15)) -> (~(hskp5)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H119 zenon_H146 zenon_H48 zenon_H74 zenon_H117 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1cf zenon_H1a6 zenon_Hf3 zenon_H1d5 zenon_H1d6 zenon_H1d7 zenon_H2f zenon_H165 zenon_H163 zenon_H164 zenon_H156 zenon_Hce zenon_H3 zenon_H2d zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf9. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11a. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H110. zenon_intro zenon_H11b. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.85 apply (zenon_L330_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.85 apply (zenon_L48_); trivial. % 0.62/0.85 apply (zenon_L448_); trivial. % 0.62/0.85 (* end of lemma zenon_L449_ *) % 0.62/0.85 assert (zenon_L450_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c0_1 (a209))) -> (c1_1 (a209)) -> (c3_1 (a209)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp15)) -> (~(hskp5)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> (ndr1_0) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp17)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H1c3 zenon_H146 zenon_H48 zenon_H74 zenon_H117 zenon_H1cf zenon_H1a6 zenon_Hf3 zenon_H1d5 zenon_H1d6 zenon_H1d7 zenon_H2f zenon_H165 zenon_H163 zenon_H164 zenon_H156 zenon_Hce zenon_H3 zenon_H2d zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf9 zenon_Ha zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hfd zenon_H101. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hff | zenon_intro zenon_H119 ]. % 0.62/0.85 apply (zenon_L58_); trivial. % 0.62/0.85 apply (zenon_L449_); trivial. % 0.62/0.85 (* end of lemma zenon_L450_ *) % 0.62/0.85 assert (zenon_L451_ : ((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c0_1 (a209))) -> (c1_1 (a209)) -> (c3_1 (a209)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp5)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (c1_1 (a193)) -> (~(c3_1 (a193))) -> (~(c0_1 (a193))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_Ha8 zenon_Haf zenon_H1c3 zenon_H146 zenon_H48 zenon_H74 zenon_H117 zenon_H1cf zenon_H1a6 zenon_Hf3 zenon_H1d5 zenon_H1d6 zenon_H1d7 zenon_H2f zenon_H165 zenon_H163 zenon_H164 zenon_H156 zenon_Hce zenon_H2d zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf9 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H101 zenon_H135 zenon_H277 zenon_H175 zenon_H176 zenon_H174 zenon_H26a zenon_H1c2. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H1f. zenon_intro zenon_Haa. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.62/0.85 apply (zenon_L450_); trivial. % 0.62/0.85 apply (zenon_L391_); trivial. % 0.62/0.85 apply (zenon_L92_); trivial. % 0.62/0.85 (* end of lemma zenon_L451_ *) % 0.62/0.85 assert (zenon_L452_ : ((~(hskp6))\/((ndr1_0)/\((c0_1 (a195))/\((~(c1_1 (a195)))/\(~(c3_1 (a195))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/(hskp14))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a202))/\((~(c2_1 (a202)))/\(~(c3_1 (a202))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X72 : zenon_U, ((ndr1_0)->((c1_1 X72)\/((~(c0_1 X72))\/(~(c2_1 X72))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X25 : zenon_U, ((ndr1_0)->((c0_1 X25)\/((c3_1 X25)\/(~(c1_1 X25))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/(hskp5))) -> (c1_1 (a193)) -> (~(c3_1 (a193))) -> (~(c0_1 (a193))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H2ba zenon_Hb1 zenon_H1c3 zenon_H117 zenon_H101 zenon_H277 zenon_H26a zenon_H1c2 zenon_H280 zenon_H2a4 zenon_H1e3 zenon_H23d zenon_H214 zenon_H1cf zenon_H271 zenon_H193 zenon_H74 zenon_H48 zenon_H1a6 zenon_H23e zenon_H2f zenon_H156 zenon_H19 zenon_Haf zenon_H135 zenon_H175 zenon_H176 zenon_H174 zenon_Hf9 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H2d zenon_Hce zenon_H243 zenon_H21d zenon_H21e zenon_H21c zenon_Hf3 zenon_H146 zenon_H245 zenon_H1e4 zenon_H1e2. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H4b | zenon_intro zenon_H1e1 ]. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.85 apply (zenon_L431_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H15 | zenon_intro zenon_H204 ]. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.85 apply (zenon_L430_); trivial. % 0.62/0.85 apply (zenon_L435_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H205. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H82. zenon_intro zenon_H206. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H80. zenon_intro zenon_H81. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.85 apply (zenon_L430_); trivial. % 0.62/0.85 apply (zenon_L444_); trivial. % 0.62/0.85 apply (zenon_L446_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e5. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_Hc3. zenon_intro zenon_H1e6. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Hc1. zenon_intro zenon_Hc2. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.85 apply (zenon_L447_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.85 apply (zenon_L430_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_Ha. zenon_intro zenon_H1df. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d6. zenon_intro zenon_H1e0. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d5. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H1 | zenon_intro zenon_Ha8 ]. % 0.62/0.85 apply (zenon_L383_); trivial. % 0.62/0.85 apply (zenon_L451_); trivial. % 0.62/0.85 (* end of lemma zenon_L452_ *) % 0.62/0.85 assert (zenon_L453_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> (~(hskp9)) -> (~(hskp11)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_Haf zenon_H19 zenon_H17 zenon_H15 zenon_Hf9 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H2d zenon_Hce zenon_H243 zenon_H1be zenon_H21d zenon_H21e zenon_H21c zenon_Hf3 zenon_H146. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.85 apply (zenon_L429_); trivial. % 0.62/0.85 apply (zenon_L132_); trivial. % 0.62/0.85 (* end of lemma zenon_L453_ *) % 0.62/0.85 assert (zenon_L454_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp5)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> (~(hskp11)) -> (~(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H1e4 zenon_H245 zenon_H89 zenon_H146 zenon_Hf3 zenon_H21c zenon_H21e zenon_H21d zenon_H243 zenon_Hce zenon_H2d zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf9 zenon_H15 zenon_H17 zenon_H19 zenon_Haf. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.85 apply (zenon_L453_); trivial. % 0.62/0.85 apply (zenon_L188_); trivial. % 0.62/0.85 (* end of lemma zenon_L454_ *) % 0.62/0.85 assert (zenon_L455_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp8)\/(hskp4))) -> (c3_1 (a225)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c0_1 (a225))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp4)) -> False). % 0.62/0.85 do 0 intro. intros zenon_H70 zenon_H13b zenon_H75 zenon_H139 zenon_Ha zenon_H6d zenon_H33. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H5e | zenon_intro zenon_H73 ]. % 0.62/0.85 apply (zenon_L347_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H6e | zenon_intro zenon_H34 ]. % 0.62/0.85 exact (zenon_H6d zenon_H6e). % 0.62/0.85 exact (zenon_H33 zenon_H34). % 0.62/0.85 (* end of lemma zenon_L455_ *) % 0.62/0.85 assert (zenon_L456_ : ((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp8)\/(hskp4))) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> False). % 0.62/0.85 do 0 intro. intros zenon_H142 zenon_Hf3 zenon_H33 zenon_H6d zenon_H70 zenon_H80 zenon_H81 zenon_H82 zenon_Hc zenon_Hd zenon_He zenon_H202 zenon_H293 zenon_H294 zenon_H295. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.85 apply (zenon_L455_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.85 apply (zenon_L401_); trivial. % 0.62/0.85 apply (zenon_L328_); trivial. % 0.62/0.85 (* end of lemma zenon_L456_ *) % 0.62/0.85 assert (zenon_L457_ : ((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp8)\/(hskp4))) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(c3_1 (a190))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_Hb2 zenon_H146 zenon_Hf3 zenon_H6d zenon_H33 zenon_H70 zenon_H80 zenon_H81 zenon_H82 zenon_H136 zenon_H293 zenon_H295 zenon_H294 zenon_H202. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.85 apply (zenon_L335_); trivial. % 0.62/0.85 apply (zenon_L456_); trivial. % 0.62/0.85 (* end of lemma zenon_L457_ *) % 0.62/0.85 assert (zenon_L458_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp8)\/(hskp4))) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_Haf zenon_H6d zenon_H33 zenon_H70 zenon_H80 zenon_H81 zenon_H82 zenon_H202 zenon_Hf9 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H2d zenon_Hce zenon_H243 zenon_H1be zenon_H21d zenon_H21e zenon_H21c zenon_Hf3 zenon_H146. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.85 apply (zenon_L429_); trivial. % 0.62/0.85 apply (zenon_L457_); trivial. % 0.62/0.85 (* end of lemma zenon_L458_ *) % 0.62/0.85 assert (zenon_L459_ : ((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(c0_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (~(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (c3_1 (a200)) -> False). % 0.62/0.85 do 0 intro. intros zenon_H142 zenon_H26a zenon_H295 zenon_H294 zenon_H293 zenon_Hc zenon_He zenon_Hd zenon_H243 zenon_H21d zenon_H21e zenon_H21c zenon_H1be zenon_Hf3 zenon_H163 zenon_H164 zenon_H165. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H75 | zenon_intro zenon_H26b ]. % 0.62/0.85 apply (zenon_L412_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H91 | zenon_intro zenon_H15a ]. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.85 apply (zenon_L412_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.85 apply (zenon_L111_); trivial. % 0.62/0.85 apply (zenon_L328_); trivial. % 0.62/0.85 apply (zenon_L77_); trivial. % 0.62/0.85 (* end of lemma zenon_L459_ *) % 0.62/0.85 assert (zenon_L460_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (c3_1 (a225)) -> (~(c1_1 (a225))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c0_1 (a225))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c0_1 (a214))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> False). % 0.62/0.85 do 0 intro. intros zenon_Hf3 zenon_H13b zenon_H13a zenon_H103 zenon_H139 zenon_Hd zenon_He zenon_Hc zenon_H91 zenon_Ha zenon_H293 zenon_H294 zenon_H295. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.85 apply (zenon_L343_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.85 apply (zenon_L111_); trivial. % 0.62/0.85 apply (zenon_L328_); trivial. % 0.62/0.85 (* end of lemma zenon_L460_ *) % 0.62/0.85 assert (zenon_L461_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(c0_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a225))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a225))) -> (c3_1 (a225)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (ndr1_0) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (c3_1 (a200)) -> False). % 0.62/0.85 do 0 intro. intros zenon_H26a zenon_H295 zenon_H294 zenon_H293 zenon_Hc zenon_He zenon_Hd zenon_H139 zenon_H103 zenon_H13a zenon_H13b zenon_Hf3 zenon_Ha zenon_H163 zenon_H164 zenon_H165. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H75 | zenon_intro zenon_H26b ]. % 0.62/0.85 apply (zenon_L343_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H91 | zenon_intro zenon_H15a ]. % 0.62/0.85 apply (zenon_L460_); trivial. % 0.62/0.85 apply (zenon_L77_); trivial. % 0.62/0.85 (* end of lemma zenon_L461_ *) % 0.62/0.85 assert (zenon_L462_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (c3_1 (a225)) -> (~(c1_1 (a225))) -> (~(c0_1 (a225))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c0_1 (a214))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a209)) -> (c1_1 (a209)) -> (~(c0_1 (a209))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp5)) -> False). % 0.62/0.85 do 0 intro. intros zenon_H156 zenon_Hf3 zenon_H13b zenon_H13a zenon_H139 zenon_Hd zenon_He zenon_Hc zenon_H293 zenon_H294 zenon_H295 zenon_H26a zenon_H1d7 zenon_H1d6 zenon_H1d5 zenon_H2f zenon_H165 zenon_H163 zenon_H164 zenon_Ha zenon_H2b zenon_H2d. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.85 apply (zenon_L461_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.85 apply (zenon_L119_); trivial. % 0.62/0.85 apply (zenon_L196_); trivial. % 0.62/0.85 (* end of lemma zenon_L462_ *) % 0.62/0.85 assert (zenon_L463_ : ((ndr1_0)/\((c0_1 (a202))/\((~(c2_1 (a202)))/\(~(c3_1 (a202)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp5)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (c3_1 (a200)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H204 zenon_H1e4 zenon_H156 zenon_H2f zenon_H23e zenon_H4b zenon_H1a6 zenon_H48 zenon_H146 zenon_Hf3 zenon_H21c zenon_H21e zenon_H21d zenon_H243 zenon_Hce zenon_H2d zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf9 zenon_H202 zenon_H163 zenon_H164 zenon_H165 zenon_H26a zenon_Haf. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H205. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H82. zenon_intro zenon_H206. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H80. zenon_intro zenon_H81. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.85 apply (zenon_L429_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.85 apply (zenon_L335_); trivial. % 0.62/0.85 apply (zenon_L459_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_Ha. zenon_intro zenon_H1df. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d6. zenon_intro zenon_H1e0. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d5. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.85 apply (zenon_L434_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.85 apply (zenon_L335_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.85 apply (zenon_L462_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.85 apply (zenon_L461_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.85 apply (zenon_L119_); trivial. % 0.62/0.85 apply (zenon_L194_); trivial. % 0.62/0.85 (* end of lemma zenon_L463_ *) % 0.62/0.85 assert (zenon_L464_ : ((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a202))/\((~(c2_1 (a202)))/\(~(c3_1 (a202))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H16c zenon_H23d zenon_H202 zenon_H26a zenon_Haf zenon_H19 zenon_H17 zenon_Hf9 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H2d zenon_Hce zenon_H243 zenon_H21d zenon_H21e zenon_H21c zenon_Hf3 zenon_H146 zenon_H48 zenon_H1a6 zenon_H4b zenon_H23e zenon_H2f zenon_H156 zenon_H1e4. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H15 | zenon_intro zenon_H204 ]. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.85 apply (zenon_L453_); trivial. % 0.62/0.85 apply (zenon_L435_); trivial. % 0.62/0.85 apply (zenon_L463_); trivial. % 0.62/0.85 (* end of lemma zenon_L464_ *) % 0.62/0.85 assert (zenon_L465_ : ((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H1e7 zenon_H1e3 zenon_H48 zenon_H1a6 zenon_H4b zenon_H23e zenon_H2f zenon_H2d zenon_H156 zenon_H146 zenon_Hf3 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H21c zenon_H21e zenon_H21d zenon_H243 zenon_H245 zenon_H1e4. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.85 apply (zenon_L445_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.85 apply (zenon_L417_); trivial. % 0.62/0.85 apply (zenon_L199_); trivial. % 0.62/0.85 (* end of lemma zenon_L465_ *) % 0.62/0.85 assert (zenon_L466_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c1_1 (a198)) -> (c3_1 (a198)) -> (~(c2_1 (a198))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c1_1 (a215)) -> (c3_1 (a215)) -> (c2_1 (a215)) -> False). % 0.62/0.85 do 0 intro. intros zenon_H1a6 zenon_H293 zenon_H294 zenon_H295 zenon_H80 zenon_H81 zenon_H82 zenon_H214 zenon_Hb6 zenon_Hb5 zenon_Hb7 zenon_H75 zenon_Ha zenon_H149 zenon_H61 zenon_H60 zenon_H5f. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.85 apply (zenon_L439_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.85 apply (zenon_L233_); trivial. % 0.62/0.85 apply (zenon_L114_); trivial. % 0.62/0.85 (* end of lemma zenon_L466_ *) % 0.62/0.85 assert (zenon_L467_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> (c2_1 (a215)) -> (c3_1 (a215)) -> (c1_1 (a215)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.62/0.85 do 0 intro. intros zenon_H245 zenon_H5f zenon_H60 zenon_H61 zenon_H75 zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_H214 zenon_H82 zenon_H81 zenon_H80 zenon_H295 zenon_H294 zenon_H293 zenon_H1a6 zenon_H21d zenon_H21e zenon_H21c zenon_Ha zenon_H89. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H149 | zenon_intro zenon_H246 ]. % 0.62/0.85 apply (zenon_L466_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H238 | zenon_intro zenon_H8a ]. % 0.62/0.85 apply (zenon_L176_); trivial. % 0.62/0.85 exact (zenon_H89 zenon_H8a). % 0.62/0.85 (* end of lemma zenon_L467_ *) % 0.62/0.85 assert (zenon_L468_ : ((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c1_1 (a198)) -> (c3_1 (a198)) -> (~(c2_1 (a198))) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> (~(hskp10)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> False). % 0.62/0.85 do 0 intro. intros zenon_Hb2 zenon_H74 zenon_Hf3 zenon_H202 zenon_H1a6 zenon_Hb6 zenon_Hb5 zenon_Hb7 zenon_H80 zenon_H81 zenon_H82 zenon_H214 zenon_H21c zenon_H21e zenon_H21d zenon_H245 zenon_H293 zenon_H294 zenon_H295 zenon_H89 zenon_H2a4. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.85 apply (zenon_L339_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.85 apply (zenon_L467_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.85 apply (zenon_L401_); trivial. % 0.62/0.85 apply (zenon_L328_); trivial. % 0.62/0.85 (* end of lemma zenon_L468_ *) % 0.62/0.85 assert (zenon_L469_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> (~(hskp6)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp5)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> (~(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c1_1 (a198)) -> (c3_1 (a198)) -> (~(c2_1 (a198))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a202))/\((~(c2_1 (a202)))/\(~(c3_1 (a202))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H1e3 zenon_H26a zenon_H48 zenon_H4b zenon_H23e zenon_H2f zenon_H156 zenon_H1e4 zenon_H245 zenon_H146 zenon_Hf3 zenon_H21c zenon_H21e zenon_H21d zenon_H243 zenon_Hce zenon_H2d zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf9 zenon_H17 zenon_H19 zenon_Haf zenon_H74 zenon_H202 zenon_H1a6 zenon_Hb6 zenon_Hb5 zenon_Hb7 zenon_H214 zenon_H2a4 zenon_H23d. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H15 | zenon_intro zenon_H204 ]. % 0.62/0.85 apply (zenon_L454_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H205. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H82. zenon_intro zenon_H206. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H80. zenon_intro zenon_H81. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.85 apply (zenon_L429_); trivial. % 0.62/0.85 apply (zenon_L468_); trivial. % 0.62/0.85 apply (zenon_L188_); trivial. % 0.62/0.85 apply (zenon_L464_); trivial. % 0.62/0.85 (* end of lemma zenon_L469_ *) % 0.62/0.85 assert (zenon_L470_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp4)) -> (~(hskp8)) -> (~(c0_1 (a225))) -> (c3_1 (a225)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp8)\/(hskp4))) -> (c0_1 (a189)) -> (c1_1 (a189)) -> (c3_1 (a189)) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (c3_1 (a200)) -> False). % 0.62/0.85 do 0 intro. intros zenon_H6f zenon_H26a zenon_H33 zenon_H6d zenon_H139 zenon_H13b zenon_H70 zenon_H36 zenon_H37 zenon_H38 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1a6 zenon_H163 zenon_H164 zenon_H165. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H75 | zenon_intro zenon_H26b ]. % 0.62/0.85 apply (zenon_L455_); trivial. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H91 | zenon_intro zenon_H15a ]. % 0.62/0.85 apply (zenon_L155_); trivial. % 0.62/0.85 apply (zenon_L77_); trivial. % 0.62/0.85 (* end of lemma zenon_L470_ *) % 0.62/0.85 assert (zenon_L471_ : ((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp8)\/(hskp4))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (c3_1 (a225)) -> (~(c1_1 (a225))) -> (~(c0_1 (a225))) -> (~(c0_1 (a209))) -> (c1_1 (a209)) -> (c3_1 (a209)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> False). % 0.62/0.85 do 0 intro. intros zenon_Hf5 zenon_H48 zenon_H74 zenon_H26a zenon_H6d zenon_H33 zenon_H70 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1cf zenon_H1a6 zenon_Hf3 zenon_H295 zenon_H294 zenon_H293 zenon_H13b zenon_H13a zenon_H139 zenon_H1d5 zenon_H1d6 zenon_H1d7 zenon_H2f zenon_H2d zenon_H165 zenon_H163 zenon_H164 zenon_H156. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.85 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.85 apply (zenon_L432_); trivial. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.85 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.85 apply (zenon_L232_); trivial. % 0.62/0.85 apply (zenon_L470_); trivial. % 0.62/0.85 (* end of lemma zenon_L471_ *) % 0.62/0.85 assert (zenon_L472_ : ((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp8)\/(hskp4))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(c0_1 (a209))) -> (c1_1 (a209)) -> (c3_1 (a209)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (~(hskp5)) -> (~(hskp15)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> False). % 0.62/0.85 do 0 intro. intros zenon_H142 zenon_Hf9 zenon_H48 zenon_H74 zenon_H26a zenon_H6d zenon_H33 zenon_H70 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1cf zenon_H1a6 zenon_Hf3 zenon_H295 zenon_H294 zenon_H293 zenon_H1d5 zenon_H1d6 zenon_H1d7 zenon_H2f zenon_H165 zenon_H163 zenon_H164 zenon_H156 zenon_H2d zenon_H3 zenon_Hce. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.85 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.85 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.85 apply (zenon_L48_); trivial. % 0.62/0.85 apply (zenon_L471_); trivial. % 0.62/0.85 (* end of lemma zenon_L472_ *) % 0.62/0.85 assert (zenon_L473_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp8)\/(hskp4))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c0_1 (a209))) -> (c1_1 (a209)) -> (c3_1 (a209)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp15)) -> (~(hskp5)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H146 zenon_H48 zenon_H74 zenon_H26a zenon_H6d zenon_H33 zenon_H70 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1cf zenon_H1a6 zenon_Hf3 zenon_H1d5 zenon_H1d6 zenon_H1d7 zenon_H2f zenon_H165 zenon_H163 zenon_H164 zenon_H156 zenon_Hce zenon_H3 zenon_H2d zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf9. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.86 apply (zenon_L330_); trivial. % 0.62/0.86 apply (zenon_L472_); trivial. % 0.62/0.86 (* end of lemma zenon_L473_ *) % 0.62/0.86 assert (zenon_L474_ : ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp8)\/(hskp4))) -> (~(hskp19)) -> (ndr1_0) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> (c2_1 (a199)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(hskp8)) -> (~(hskp4)) -> False). % 0.62/0.86 do 0 intro. intros zenon_H70 zenon_H133 zenon_Ha zenon_H293 zenon_H294 zenon_H295 zenon_H105 zenon_H104 zenon_H106 zenon_H136 zenon_H6d zenon_H33. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H5e | zenon_intro zenon_H73 ]. % 0.62/0.86 apply (zenon_L355_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H6e | zenon_intro zenon_H34 ]. % 0.62/0.86 exact (zenon_H6d zenon_H6e). % 0.62/0.86 exact (zenon_H33 zenon_H34). % 0.62/0.86 (* end of lemma zenon_L474_ *) % 0.62/0.86 assert (zenon_L475_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp4)) -> (~(hskp8)) -> (~(c0_1 (a225))) -> (c3_1 (a225)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp8)\/(hskp4))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c0_1 (a214))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> False). % 0.62/0.86 do 0 intro. intros zenon_Hf3 zenon_H33 zenon_H6d zenon_H139 zenon_H13b zenon_H70 zenon_Hd zenon_He zenon_Hc zenon_H91 zenon_Ha zenon_H293 zenon_H294 zenon_H295. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.86 apply (zenon_L455_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.86 apply (zenon_L111_); trivial. % 0.62/0.86 apply (zenon_L328_); trivial. % 0.62/0.86 (* end of lemma zenon_L475_ *) % 0.62/0.86 assert (zenon_L476_ : ((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp8)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H1e7 zenon_H1e3 zenon_Haf zenon_H70 zenon_H33 zenon_H6d zenon_Hce zenon_H2d zenon_H156 zenon_H2f zenon_H1a6 zenon_H1cf zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H26a zenon_H74 zenon_H48 zenon_Hf9 zenon_H146 zenon_Hf3 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H21c zenon_H21e zenon_H21d zenon_H243 zenon_H245 zenon_H1e4. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.86 apply (zenon_L445_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.86 apply (zenon_L417_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_Ha. zenon_intro zenon_H1df. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d6. zenon_intro zenon_H1e0. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d5. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.86 apply (zenon_L474_); trivial. % 0.62/0.86 apply (zenon_L472_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.86 apply (zenon_L474_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H75 | zenon_intro zenon_H26b ]. % 0.62/0.86 apply (zenon_L455_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H91 | zenon_intro zenon_H15a ]. % 0.62/0.86 apply (zenon_L475_); trivial. % 0.62/0.86 apply (zenon_L77_); trivial. % 0.62/0.86 (* end of lemma zenon_L476_ *) % 0.62/0.86 assert (zenon_L477_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (c1_1 (a198)) -> (c3_1 (a198)) -> (~(c2_1 (a198))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c2_1 (a257)) -> (~(c3_1 (a257))) -> (~(c1_1 (a257))) -> (c3_1 (a189)) -> (c1_1 (a189)) -> (c0_1 (a189)) -> (ndr1_0) -> (~(hskp24)) -> False). % 0.62/0.86 do 0 intro. intros zenon_H1a6 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_Hb6 zenon_Hb5 zenon_Hb7 zenon_H75 zenon_H1cf zenon_He3 zenon_He2 zenon_He1 zenon_H38 zenon_H37 zenon_H36 zenon_Ha zenon_H58. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H1a7 ]. % 0.62/0.86 apply (zenon_L44_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H35 | zenon_intro zenon_H1b ]. % 0.62/0.86 apply (zenon_L233_); trivial. % 0.62/0.86 apply (zenon_L231_); trivial. % 0.62/0.86 (* end of lemma zenon_L477_ *) % 0.62/0.86 assert (zenon_L478_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(hskp24)) -> (c0_1 (a189)) -> (c1_1 (a189)) -> (c3_1 (a189)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c2_1 (a257)) -> (~(c3_1 (a257))) -> (~(c1_1 (a257))) -> (ndr1_0) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> False). % 0.62/0.86 do 0 intro. intros zenon_Hf3 zenon_H58 zenon_H36 zenon_H37 zenon_H38 zenon_H1cf zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1a6 zenon_He3 zenon_He2 zenon_He1 zenon_Ha zenon_H293 zenon_H294 zenon_H295. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.86 apply (zenon_L477_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.86 apply (zenon_L50_); trivial. % 0.62/0.86 apply (zenon_L328_); trivial. % 0.62/0.86 (* end of lemma zenon_L478_ *) % 0.62/0.86 assert (zenon_L479_ : ((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c1_1 (a198)) -> (c3_1 (a198)) -> (~(c2_1 (a198))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (c3_1 (a225)) -> (~(c1_1 (a225))) -> (~(c0_1 (a225))) -> (~(c0_1 (a209))) -> (c1_1 (a209)) -> (c3_1 (a209)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> False). % 0.62/0.86 do 0 intro. intros zenon_Hf5 zenon_H48 zenon_H74 zenon_H26a zenon_H1a6 zenon_H1cf zenon_Hb6 zenon_Hb5 zenon_Hb7 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_Hf3 zenon_H295 zenon_H294 zenon_H293 zenon_H13b zenon_H13a zenon_H139 zenon_H1d5 zenon_H1d6 zenon_H1d7 zenon_H2f zenon_H2d zenon_H165 zenon_H163 zenon_H164 zenon_H156. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.86 apply (zenon_L432_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.86 apply (zenon_L478_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.86 apply (zenon_L372_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.86 apply (zenon_L121_); trivial. % 0.62/0.86 apply (zenon_L235_); trivial. % 0.62/0.86 (* end of lemma zenon_L479_ *) % 0.62/0.86 assert (zenon_L480_ : ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> (c1_1 (a198)) -> (c3_1 (a198)) -> (~(c2_1 (a198))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c0_1 (a209))) -> (c1_1 (a209)) -> (c3_1 (a209)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp15)) -> (~(hskp5)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H146 zenon_H48 zenon_H74 zenon_H26a zenon_H1a6 zenon_H1cf zenon_Hb6 zenon_Hb5 zenon_Hb7 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_Hf3 zenon_H1d5 zenon_H1d6 zenon_H1d7 zenon_H2f zenon_H165 zenon_H163 zenon_H164 zenon_H156 zenon_Hce zenon_H3 zenon_H2d zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf9. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.86 apply (zenon_L330_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.86 apply (zenon_L48_); trivial. % 0.62/0.86 apply (zenon_L479_); trivial. % 0.62/0.86 (* end of lemma zenon_L480_ *) % 0.62/0.86 assert (zenon_L481_ : ((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> (~(hskp9)) -> (~(hskp11)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c0_1 (a200)) -> (~(c1_1 (a200))) -> (c3_1 (a200)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H1de zenon_Haf zenon_H19 zenon_H17 zenon_H15 zenon_Hf9 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H2d zenon_Hce zenon_H156 zenon_H164 zenon_H163 zenon_H165 zenon_H2f zenon_Hf3 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_H1cf zenon_H1a6 zenon_H26a zenon_H74 zenon_H48 zenon_H146. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_Ha. zenon_intro zenon_H1df. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d6. zenon_intro zenon_H1e0. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d5. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.86 apply (zenon_L480_); trivial. % 0.62/0.86 apply (zenon_L132_); trivial. % 0.62/0.86 (* end of lemma zenon_L481_ *) % 0.62/0.86 assert (zenon_L482_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c0_1 (a200)) -> (~(c1_1 (a200))) -> (c3_1 (a200)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp5)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> (~(hskp11)) -> (~(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H1e4 zenon_H156 zenon_H164 zenon_H163 zenon_H165 zenon_H2f zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_H1cf zenon_H1a6 zenon_H26a zenon_H74 zenon_H48 zenon_H146 zenon_Hf3 zenon_H21c zenon_H21e zenon_H21d zenon_H243 zenon_Hce zenon_H2d zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf9 zenon_H15 zenon_H17 zenon_H19 zenon_Haf. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.86 apply (zenon_L453_); trivial. % 0.62/0.86 apply (zenon_L481_); trivial. % 0.62/0.86 (* end of lemma zenon_L482_ *) % 0.62/0.86 assert (zenon_L483_ : ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> (c2_1 (a214)) -> (~(c0_1 (a214))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c3_1 (a214))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> False). % 0.62/0.86 do 0 intro. intros zenon_H214 zenon_H82 zenon_H81 zenon_H80 zenon_He zenon_Hc zenon_H103 zenon_Hd zenon_Ha zenon_H75 zenon_Hb7 zenon_Hb5 zenon_Hb6. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H7f | zenon_intro zenon_H215 ]. % 0.62/0.86 apply (zenon_L30_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H211 | zenon_intro zenon_H35 ]. % 0.62/0.86 generalize (zenon_H211 (a214)). zenon_intro zenon_H2bd. % 0.62/0.86 apply (zenon_imply_s _ _ zenon_H2bd); [ zenon_intro zenon_H9 | zenon_intro zenon_H2be ]. % 0.62/0.86 exact (zenon_H9 zenon_Ha). % 0.62/0.86 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H14 | zenon_intro zenon_H95 ]. % 0.62/0.86 exact (zenon_Hd zenon_H14). % 0.62/0.86 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H96 | zenon_intro zenon_H13 ]. % 0.62/0.86 generalize (zenon_H103 (a214)). zenon_intro zenon_H2bf. % 0.62/0.86 apply (zenon_imply_s _ _ zenon_H2bf); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c0 ]. % 0.62/0.86 exact (zenon_H9 zenon_Ha). % 0.62/0.86 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H12 | zenon_intro zenon_H2c1 ]. % 0.62/0.86 exact (zenon_Hc zenon_H12). % 0.62/0.86 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H9a | zenon_intro zenon_H13 ]. % 0.62/0.86 exact (zenon_H96 zenon_H9a). % 0.62/0.86 exact (zenon_H13 zenon_He). % 0.62/0.86 exact (zenon_H13 zenon_He). % 0.62/0.86 apply (zenon_L233_); trivial. % 0.62/0.86 (* end of lemma zenon_L483_ *) % 0.62/0.86 assert (zenon_L484_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (c1_1 (a198)) -> (c3_1 (a198)) -> (~(c2_1 (a198))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3)))))) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(hskp19)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> (~(c0_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (c3_1 (a200)) -> False). % 0.62/0.86 do 0 intro. intros zenon_H26a zenon_Hb6 zenon_Hb5 zenon_Hb7 zenon_H103 zenon_H80 zenon_H81 zenon_H82 zenon_H214 zenon_H133 zenon_H293 zenon_H294 zenon_H295 zenon_Hc zenon_He zenon_Hd zenon_H136 zenon_Ha zenon_H163 zenon_H164 zenon_H165. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H75 | zenon_intro zenon_H26b ]. % 0.62/0.86 apply (zenon_L483_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H91 | zenon_intro zenon_H15a ]. % 0.62/0.86 apply (zenon_L404_); trivial. % 0.62/0.86 apply (zenon_L77_); trivial. % 0.62/0.86 (* end of lemma zenon_L484_ *) % 0.62/0.86 assert (zenon_L485_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> (c3_1 (a200)) -> (c0_1 (a200)) -> (~(c1_1 (a200))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp19)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> (~(c0_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a223))) -> (~(c2_1 (a223))) -> (c3_1 (a223)) -> False). % 0.62/0.86 do 0 intro. intros zenon_H117 zenon_H165 zenon_H164 zenon_H163 zenon_H214 zenon_H82 zenon_H81 zenon_H80 zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_H26a zenon_H133 zenon_H293 zenon_H294 zenon_H295 zenon_Hc zenon_He zenon_Hd zenon_H136 zenon_Ha zenon_H10e zenon_H10f zenon_H110. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H103 | zenon_intro zenon_H118 ]. % 0.62/0.86 apply (zenon_L484_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H91 | zenon_intro zenon_H10d ]. % 0.62/0.86 apply (zenon_L404_); trivial. % 0.62/0.86 apply (zenon_L60_); trivial. % 0.62/0.86 (* end of lemma zenon_L485_ *) % 0.62/0.86 assert (zenon_L486_ : ((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(hskp13)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a200)) -> (c0_1 (a200)) -> (~(c1_1 (a200))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (c2_1 (a214)) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H119 zenon_H146 zenon_Hf3 zenon_H21c zenon_H21e zenon_H21d zenon_H1be zenon_H243 zenon_H26a zenon_H165 zenon_H164 zenon_H163 zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_H80 zenon_H81 zenon_H82 zenon_Hd zenon_Hc zenon_He zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_H214 zenon_H117. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11a. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H110. zenon_intro zenon_H11b. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.86 apply (zenon_L485_); trivial. % 0.62/0.86 apply (zenon_L459_); trivial. % 0.62/0.86 (* end of lemma zenon_L486_ *) % 0.62/0.86 assert (zenon_L487_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(hskp13)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a200)) -> (c0_1 (a200)) -> (~(c1_1 (a200))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (c2_1 (a214)) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> (ndr1_0) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp17)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H1c3 zenon_H146 zenon_Hf3 zenon_H21c zenon_H21e zenon_H21d zenon_H1be zenon_H243 zenon_H26a zenon_H165 zenon_H164 zenon_H163 zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_H80 zenon_H81 zenon_H82 zenon_Hd zenon_Hc zenon_He zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_H214 zenon_H117 zenon_Ha zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hfd zenon_H101. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hff | zenon_intro zenon_H119 ]. % 0.62/0.86 apply (zenon_L58_); trivial. % 0.62/0.86 apply (zenon_L486_); trivial. % 0.62/0.86 (* end of lemma zenon_L487_ *) % 0.62/0.86 assert (zenon_L488_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> (c0_1 (a200)) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c0_1 (a214))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> False). % 0.62/0.86 do 0 intro. intros zenon_Hf3 zenon_H165 zenon_H163 zenon_H14c zenon_H164 zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1a6 zenon_Hd zenon_He zenon_Hc zenon_H91 zenon_Ha zenon_H293 zenon_H294 zenon_H295. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.86 apply (zenon_L234_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.86 apply (zenon_L111_); trivial. % 0.62/0.86 apply (zenon_L328_); trivial. % 0.62/0.86 (* end of lemma zenon_L488_ *) % 0.62/0.86 assert (zenon_L489_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (~(c0_1 (a225))) -> (~(c1_1 (a225))) -> (c3_1 (a225)) -> (c3_1 (a209)) -> (c1_1 (a209)) -> (~(c0_1 (a209))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (c3_1 (a200)) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c0_1 (a214))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> False). % 0.62/0.86 do 0 intro. intros zenon_H156 zenon_H139 zenon_H13a zenon_H13b zenon_H1d7 zenon_H1d6 zenon_H1d5 zenon_Hf3 zenon_H165 zenon_H163 zenon_H164 zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1a6 zenon_Hd zenon_He zenon_Hc zenon_H91 zenon_Ha zenon_H293 zenon_H294 zenon_H295. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.86 apply (zenon_L460_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.86 apply (zenon_L119_); trivial. % 0.62/0.86 apply (zenon_L488_); trivial. % 0.62/0.86 (* end of lemma zenon_L489_ *) % 0.62/0.86 assert (zenon_L490_ : ((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> (~(c0_1 (a209))) -> (c1_1 (a209)) -> (c3_1 (a209)) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a200)) -> (c0_1 (a200)) -> (~(c1_1 (a200))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (c2_1 (a214)) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H119 zenon_H146 zenon_H1d5 zenon_H1d6 zenon_H1d7 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H1a6 zenon_H156 zenon_Hf3 zenon_H26a zenon_H165 zenon_H164 zenon_H163 zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_H80 zenon_H81 zenon_H82 zenon_Hd zenon_Hc zenon_He zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_H214 zenon_H117. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11a. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H110. zenon_intro zenon_H11b. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.86 apply (zenon_L485_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H103 | zenon_intro zenon_H118 ]. % 0.62/0.86 apply (zenon_L461_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H91 | zenon_intro zenon_H10d ]. % 0.62/0.86 apply (zenon_L489_); trivial. % 0.62/0.86 apply (zenon_L60_); trivial. % 0.62/0.86 (* end of lemma zenon_L490_ *) % 0.62/0.86 assert (zenon_L491_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> (~(c0_1 (a209))) -> (c1_1 (a209)) -> (c3_1 (a209)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a200)) -> (c0_1 (a200)) -> (~(c1_1 (a200))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (c2_1 (a214)) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> (ndr1_0) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp17)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H1c3 zenon_H146 zenon_H1d5 zenon_H1d6 zenon_H1d7 zenon_H1a6 zenon_H156 zenon_Hf3 zenon_H26a zenon_H165 zenon_H164 zenon_H163 zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_H80 zenon_H81 zenon_H82 zenon_Hd zenon_Hc zenon_He zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_H214 zenon_H117 zenon_Ha zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hfd zenon_H101. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hff | zenon_intro zenon_H119 ]. % 0.62/0.86 apply (zenon_L58_); trivial. % 0.62/0.86 apply (zenon_L490_); trivial. % 0.62/0.86 (* end of lemma zenon_L491_ *) % 0.62/0.86 assert (zenon_L492_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(c0_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> (c1_1 (a198)) -> (c3_1 (a198)) -> (~(c2_1 (a198))) -> (forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (ndr1_0) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (c3_1 (a200)) -> False). % 0.62/0.86 do 0 intro. intros zenon_H26a zenon_H295 zenon_H294 zenon_H293 zenon_Hc zenon_He zenon_Hd zenon_H1a6 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_Hb6 zenon_Hb5 zenon_Hb7 zenon_H14c zenon_Hf3 zenon_Ha zenon_H163 zenon_H164 zenon_H165. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H75 | zenon_intro zenon_H26b ]. % 0.62/0.86 apply (zenon_L234_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H91 | zenon_intro zenon_H15a ]. % 0.62/0.86 apply (zenon_L488_); trivial. % 0.62/0.86 apply (zenon_L77_); trivial. % 0.62/0.86 (* end of lemma zenon_L492_ *) % 0.62/0.86 assert (zenon_L493_ : ((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c2_1 (a222)) -> (c1_1 (a222)) -> (~(c3_1 (a222))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (c3_1 (a200)) -> (c0_1 (a200)) -> (~(c1_1 (a200))) -> (~(c0_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c0_1 (a209))) -> (c1_1 (a209)) -> (c3_1 (a209)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(hskp5)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H142 zenon_H48 zenon_H214 zenon_H127 zenon_H126 zenon_H124 zenon_H82 zenon_H81 zenon_H80 zenon_H26a zenon_H165 zenon_H164 zenon_H163 zenon_Hc zenon_He zenon_Hd zenon_H293 zenon_H294 zenon_H295 zenon_Hf3 zenon_H1d5 zenon_H1d6 zenon_H1d7 zenon_H2f zenon_H2d zenon_H156. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.86 apply (zenon_L462_); trivial. % 0.62/0.86 apply (zenon_L150_); trivial. % 0.62/0.86 (* end of lemma zenon_L493_ *) % 0.62/0.86 assert (zenon_L494_ : ((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c0_1 (a200)) -> (~(c1_1 (a200))) -> (c3_1 (a200)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H1de zenon_Haf zenon_H1c2 zenon_H101 zenon_H117 zenon_H214 zenon_H82 zenon_H81 zenon_H80 zenon_H1c3 zenon_Hf9 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H2d zenon_Hce zenon_H156 zenon_H164 zenon_H163 zenon_H165 zenon_H2f zenon_Hf3 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_H1cf zenon_H1a6 zenon_H26a zenon_H74 zenon_H48 zenon_H146. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_Ha. zenon_intro zenon_H1df. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d6. zenon_intro zenon_H1e0. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d5. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.86 apply (zenon_L480_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.62/0.86 apply (zenon_L491_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_Ha. zenon_intro zenon_H147. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H126. zenon_intro zenon_H148. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H127. zenon_intro zenon_H124. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.86 apply (zenon_L484_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.86 apply (zenon_L119_); trivial. % 0.62/0.86 apply (zenon_L492_); trivial. % 0.62/0.86 apply (zenon_L493_); trivial. % 0.62/0.86 (* end of lemma zenon_L494_ *) % 0.62/0.86 assert (zenon_L495_ : ((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> (c2_1 (a199)) -> (~(c1_1 (a199))) -> (~(c0_1 (a199))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c0_1 (a200)) -> (~(c1_1 (a200))) -> (c3_1 (a200)) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H1de zenon_Haf zenon_H106 zenon_H105 zenon_H104 zenon_Hf9 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H2d zenon_Hce zenon_H156 zenon_H164 zenon_H163 zenon_H165 zenon_H2f zenon_Hf3 zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_H1cf zenon_H1a6 zenon_H26a zenon_H74 zenon_H48 zenon_H146. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_Ha. zenon_intro zenon_H1df. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d6. zenon_intro zenon_H1e0. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d5. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.86 apply (zenon_L480_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.86 apply (zenon_L59_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.86 apply (zenon_L119_); trivial. % 0.62/0.86 apply (zenon_L492_); trivial. % 0.62/0.86 (* end of lemma zenon_L495_ *) % 0.62/0.86 assert (zenon_L496_ : ((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H1e7 zenon_H1e3 zenon_Haf zenon_Hf9 zenon_H2d zenon_Hce zenon_H156 zenon_H2f zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_H1cf zenon_H1a6 zenon_H26a zenon_H74 zenon_H48 zenon_H146 zenon_Hf3 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H21c zenon_H21e zenon_H21d zenon_H243 zenon_H245 zenon_H1e4. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.86 apply (zenon_L445_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.86 apply (zenon_L417_); trivial. % 0.62/0.86 apply (zenon_L495_); trivial. % 0.62/0.86 (* end of lemma zenon_L496_ *) % 0.62/0.86 assert (zenon_L497_ : ((~(hskp6))\/((ndr1_0)/\((c0_1 (a195))/\((~(c1_1 (a195)))/\(~(c3_1 (a195))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/(hskp24))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a202))/\((~(c2_1 (a202)))/\(~(c3_1 (a202))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((hskp8)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/((hskp23)\/(hskp5))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((hskp5)\/(hskp6))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a198))/\((c3_1 (a198))/\(~(c2_1 (a198))))))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H2ba zenon_H1c2 zenon_H101 zenon_H117 zenon_H1c3 zenon_H1cf zenon_H1e2 zenon_H23d zenon_H202 zenon_H70 zenon_H33 zenon_Haf zenon_H19 zenon_Hf9 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H2d zenon_Hce zenon_H243 zenon_H21d zenon_H21e zenon_H21c zenon_Hf3 zenon_H146 zenon_H245 zenon_H1e4 zenon_H156 zenon_H2f zenon_H23e zenon_H1a6 zenon_H48 zenon_H26a zenon_H1e3 zenon_H74 zenon_H214 zenon_H2a4 zenon_H28f. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H4b | zenon_intro zenon_H1e1 ]. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H6d | zenon_intro zenon_H287 ]. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H15 | zenon_intro zenon_H204 ]. % 0.62/0.86 apply (zenon_L454_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H205. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H82. zenon_intro zenon_H206. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H80. zenon_intro zenon_H81. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.86 apply (zenon_L458_); trivial. % 0.62/0.86 apply (zenon_L188_); trivial. % 0.62/0.86 apply (zenon_L464_); trivial. % 0.62/0.86 apply (zenon_L465_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Hb6. zenon_intro zenon_H289. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hb5. zenon_intro zenon_Hb7. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.86 apply (zenon_L469_); trivial. % 0.62/0.86 apply (zenon_L465_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e5. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_Hc3. zenon_intro zenon_H1e6. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Hc1. zenon_intro zenon_Hc2. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H6d | zenon_intro zenon_H287 ]. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.86 apply (zenon_L447_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H15 | zenon_intro zenon_H204 ]. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.86 apply (zenon_L453_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_Ha. zenon_intro zenon_H1df. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d6. zenon_intro zenon_H1e0. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d5. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.86 apply (zenon_L473_); trivial. % 0.62/0.86 apply (zenon_L132_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H205. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H82. zenon_intro zenon_H206. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H80. zenon_intro zenon_H81. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.86 apply (zenon_L458_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_Ha. zenon_intro zenon_H1df. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d6. zenon_intro zenon_H1e0. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_H1d7. zenon_intro zenon_H1d5. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.86 apply (zenon_L473_); trivial. % 0.62/0.86 apply (zenon_L457_); trivial. % 0.62/0.86 apply (zenon_L476_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Hb6. zenon_intro zenon_H289. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hb5. zenon_intro zenon_Hb7. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.62/0.86 apply (zenon_L447_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H15 | zenon_intro zenon_H204 ]. % 0.62/0.86 apply (zenon_L482_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H205. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H82. zenon_intro zenon_H206. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H80. zenon_intro zenon_H81. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.86 apply (zenon_L429_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.62/0.86 apply (zenon_L487_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_Ha. zenon_intro zenon_H147. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H126. zenon_intro zenon_H148. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H127. zenon_intro zenon_H124. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H75 | zenon_intro zenon_H26b ]. % 0.62/0.86 apply (zenon_L293_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H91 | zenon_intro zenon_H15a ]. % 0.62/0.86 apply (zenon_L404_); trivial. % 0.62/0.86 apply (zenon_L77_); trivial. % 0.62/0.86 apply (zenon_L459_); trivial. % 0.62/0.86 apply (zenon_L494_); trivial. % 0.62/0.86 apply (zenon_L496_); trivial. % 0.62/0.86 (* end of lemma zenon_L497_ *) % 0.62/0.86 assert (zenon_L498_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> (~(hskp19)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> (~(c0_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.62/0.86 do 0 intro. intros zenon_H1f3 zenon_H133 zenon_H293 zenon_H294 zenon_H295 zenon_Hc zenon_He zenon_Hd zenon_H136 zenon_H1ec zenon_H1eb zenon_H1ea zenon_Ha zenon_H5. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H91 | zenon_intro zenon_H1f4 ]. % 0.62/0.86 apply (zenon_L404_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H18d | zenon_intro zenon_H6 ]. % 0.62/0.86 apply (zenon_L125_); trivial. % 0.62/0.86 exact (zenon_H5 zenon_H6). % 0.62/0.86 (* end of lemma zenon_L498_ *) % 0.62/0.86 assert (zenon_L499_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c0_1 (a214))) -> (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21)))))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.62/0.86 do 0 intro. intros zenon_H1f3 zenon_Hd zenon_He zenon_Hc zenon_He0 zenon_H1ec zenon_H1eb zenon_H1ea zenon_Ha zenon_H5. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H91 | zenon_intro zenon_H1f4 ]. % 0.62/0.86 apply (zenon_L111_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H18d | zenon_intro zenon_H6 ]. % 0.62/0.86 apply (zenon_L125_); trivial. % 0.62/0.86 exact (zenon_H5 zenon_H6). % 0.62/0.86 (* end of lemma zenon_L499_ *) % 0.62/0.86 assert (zenon_L500_ : ((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (~(hskp12)) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> (~(c0_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> False). % 0.62/0.86 do 0 intro. intros zenon_H142 zenon_Hf3 zenon_Hb7 zenon_Hb5 zenon_H277 zenon_H5 zenon_H1ea zenon_H1eb zenon_H1ec zenon_Hc zenon_He zenon_Hd zenon_H1f3 zenon_H293 zenon_H294 zenon_H295. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.86 apply (zenon_L396_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.86 apply (zenon_L499_); trivial. % 0.62/0.86 apply (zenon_L328_); trivial. % 0.62/0.86 (* end of lemma zenon_L500_ *) % 0.62/0.86 assert (zenon_L501_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp14)\/((hskp15)\/(hskp12))) -> False). % 0.62/0.86 do 0 intro. intros zenon_Haf zenon_H146 zenon_Hf3 zenon_Hb7 zenon_Hb5 zenon_H277 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H1ea zenon_H1eb zenon_H1ec zenon_H1f3 zenon_H1 zenon_H5 zenon_H7. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.86 apply (zenon_L4_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.86 apply (zenon_L498_); trivial. % 0.62/0.86 apply (zenon_L500_); trivial. % 0.62/0.86 (* end of lemma zenon_L501_ *) % 0.62/0.86 assert (zenon_L502_ : ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/(hskp15))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (~(c3_1 (a193))) -> (c1_1 (a193)) -> (~(c0_1 (a193))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.62/0.86 do 0 intro. intros zenon_H25e zenon_H21d zenon_H21e zenon_H21c zenon_H176 zenon_H175 zenon_H174 zenon_H91 zenon_Ha zenon_H3. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H238 | zenon_intro zenon_H25f ]. % 0.62/0.86 apply (zenon_L176_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H173 | zenon_intro zenon_H4 ]. % 0.62/0.86 apply (zenon_L83_); trivial. % 0.62/0.86 exact (zenon_H3 zenon_H4). % 0.62/0.86 (* end of lemma zenon_L502_ *) % 0.62/0.86 assert (zenon_L503_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> (~(hskp15)) -> (~(c0_1 (a193))) -> (c1_1 (a193)) -> (~(c3_1 (a193))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/(hskp15))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.62/0.86 do 0 intro. intros zenon_H1f3 zenon_H3 zenon_H174 zenon_H175 zenon_H176 zenon_H21c zenon_H21e zenon_H21d zenon_H25e zenon_H1ec zenon_H1eb zenon_H1ea zenon_Ha zenon_H5. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H91 | zenon_intro zenon_H1f4 ]. % 0.62/0.86 apply (zenon_L502_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H18d | zenon_intro zenon_H6 ]. % 0.62/0.86 apply (zenon_L125_); trivial. % 0.62/0.86 exact (zenon_H5 zenon_H6). % 0.62/0.86 (* end of lemma zenon_L503_ *) % 0.62/0.86 assert (zenon_L504_ : ((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (~(c1_1 (a210))) -> (c2_1 (a210)) -> (c3_1 (a210)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (~(hskp12)) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> False). % 0.62/0.86 do 0 intro. intros zenon_Hb2 zenon_Hf3 zenon_Hb7 zenon_Hb5 zenon_H1d zenon_H1f zenon_H1e zenon_H277 zenon_H5 zenon_H1ea zenon_H1eb zenon_H1ec zenon_H1f3 zenon_H293 zenon_H294 zenon_H295. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.86 apply (zenon_L303_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.86 apply (zenon_L499_); trivial. % 0.62/0.86 apply (zenon_L328_); trivial. % 0.62/0.86 (* end of lemma zenon_L504_ *) % 0.62/0.86 assert (zenon_L505_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> (ndr1_0) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> (~(hskp7)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/((hskp7)\/(hskp9))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H1e2 zenon_H1e4 zenon_H156 zenon_H14f zenon_H14e zenon_H14d zenon_H243 zenon_H21d zenon_H21e zenon_H21c zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf3 zenon_H146 zenon_Ha zenon_H1ea zenon_H1eb zenon_H1ec zenon_H234 zenon_H236. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.86 apply (zenon_L249_); trivial. % 0.62/0.86 apply (zenon_L418_); trivial. % 0.62/0.86 (* end of lemma zenon_L505_ *) % 0.62/0.86 assert (zenon_L506_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (~(hskp9)) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (~(hskp15)) -> (~(c0_1 (a193))) -> (c1_1 (a193)) -> (~(c3_1 (a193))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/(hskp15))) -> (ndr1_0) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (c3_1 (a200)) -> False). % 0.62/0.86 do 0 intro. intros zenon_H26a zenon_H17 zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_H14d zenon_H14e zenon_H14f zenon_H19d zenon_H3 zenon_H174 zenon_H175 zenon_H176 zenon_H21c zenon_H21e zenon_H21d zenon_H25e zenon_Ha zenon_H163 zenon_H164 zenon_H165. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H75 | zenon_intro zenon_H26b ]. % 0.62/0.86 apply (zenon_L311_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H91 | zenon_intro zenon_H15a ]. % 0.62/0.86 apply (zenon_L502_); trivial. % 0.62/0.86 apply (zenon_L77_); trivial. % 0.62/0.86 (* end of lemma zenon_L506_ *) % 0.62/0.86 assert (zenon_L507_ : ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21)))))) -> (ndr1_0) -> (c0_1 (a190)) -> (c2_1 (a190)) -> (~(c3_1 (a190))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H28a zenon_H14f zenon_H14e zenon_H14d zenon_H82 zenon_H81 zenon_H80 zenon_He0 zenon_Ha zenon_H294 zenon_H295 zenon_H293. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H14c | zenon_intro zenon_H203 ]. % 0.62/0.86 apply (zenon_L73_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H7f | zenon_intro zenon_H1f5 ]. % 0.62/0.86 apply (zenon_L30_); trivial. % 0.62/0.86 apply (zenon_L333_); trivial. % 0.62/0.86 (* end of lemma zenon_L507_ *) % 0.62/0.86 assert (zenon_L508_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.62/0.86 do 0 intro. intros zenon_H136 zenon_H80 zenon_H81 zenon_H82 zenon_H14d zenon_H14e zenon_H14f zenon_H28a zenon_H295 zenon_H294 zenon_H293 zenon_Ha zenon_H133. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_He0 | zenon_intro zenon_H138 ]. % 0.62/0.86 apply (zenon_L507_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_Hea | zenon_intro zenon_H134 ]. % 0.62/0.86 apply (zenon_L328_); trivial. % 0.62/0.86 exact (zenon_H133 zenon_H134). % 0.62/0.86 (* end of lemma zenon_L508_ *) % 0.62/0.86 assert (zenon_L509_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c3_1 (a225)) -> (~(c1_1 (a225))) -> (~(c0_1 (a225))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (c2_1 (a215)) -> (c3_1 (a215)) -> (c1_1 (a215)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (ndr1_0) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> False). % 0.62/0.86 do 0 intro. intros zenon_H156 zenon_H13b zenon_H13a zenon_H139 zenon_H75 zenon_H5f zenon_H60 zenon_H61 zenon_H214 zenon_H82 zenon_H81 zenon_H80 zenon_H295 zenon_H294 zenon_H293 zenon_H1a6 zenon_Ha zenon_H14d zenon_H14e zenon_H14f. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H103 | zenon_intro zenon_H157 ]. % 0.62/0.86 apply (zenon_L343_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H149 | zenon_intro zenon_H14c ]. % 0.62/0.86 apply (zenon_L440_); trivial. % 0.62/0.86 apply (zenon_L73_); trivial. % 0.62/0.86 (* end of lemma zenon_L509_ *) % 0.62/0.86 assert (zenon_L510_ : ((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (~(c0_1 (a225))) -> (~(c1_1 (a225))) -> (c3_1 (a225)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> False). % 0.62/0.86 do 0 intro. intros zenon_H6f zenon_Hf3 zenon_H1a6 zenon_H214 zenon_H139 zenon_H13a zenon_H13b zenon_H156 zenon_H80 zenon_H81 zenon_H82 zenon_H14d zenon_H14e zenon_H14f zenon_H28a zenon_H293 zenon_H294 zenon_H295. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_Ha. zenon_intro zenon_H71. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H61. zenon_intro zenon_H72. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H5f. zenon_intro zenon_H60. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.86 apply (zenon_L509_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.86 apply (zenon_L507_); trivial. % 0.62/0.86 apply (zenon_L328_); trivial. % 0.62/0.86 (* end of lemma zenon_L510_ *) % 0.62/0.86 assert (zenon_L511_ : ((ndr1_0)/\((c0_1 (a202))/\((~(c2_1 (a202)))/\(~(c3_1 (a202)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (~(c1_1 (a200))) -> (c0_1 (a200)) -> (c3_1 (a200)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (~(c3_1 (a190))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H204 zenon_H146 zenon_H74 zenon_Hf3 zenon_H1a6 zenon_H214 zenon_H156 zenon_H163 zenon_H164 zenon_H165 zenon_H158 zenon_H28a zenon_H293 zenon_H295 zenon_H294 zenon_H14f zenon_H14e zenon_H14d zenon_H136. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H205. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H82. zenon_intro zenon_H206. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H80. zenon_intro zenon_H81. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.86 apply (zenon_L508_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.62/0.86 apply (zenon_L78_); trivial. % 0.62/0.86 apply (zenon_L510_); trivial. % 0.62/0.86 (* end of lemma zenon_L511_ *) % 0.62/0.86 assert (zenon_L512_ : ((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a202))/\((~(c2_1 (a202)))/\(~(c3_1 (a202))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (~(c3_1 (a190))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> (~(c0_1 (a193))) -> (c1_1 (a193)) -> (~(c3_1 (a193))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/(hskp15))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> (~(c2_1 (a198))) -> (c3_1 (a198)) -> (c1_1 (a198)) -> (~(hskp9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((hskp11)\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H16c zenon_H23d zenon_H146 zenon_H74 zenon_Hf3 zenon_H1a6 zenon_H214 zenon_H156 zenon_H158 zenon_H28a zenon_H293 zenon_H295 zenon_H294 zenon_H136 zenon_H26a zenon_H21c zenon_H21e zenon_H21d zenon_H174 zenon_H175 zenon_H176 zenon_H25e zenon_H14d zenon_H14e zenon_H14f zenon_Hb7 zenon_Hb5 zenon_Hb6 zenon_H17 zenon_H19d zenon_H19 zenon_Haf. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H15 | zenon_intro zenon_H204 ]. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.86 apply (zenon_L506_); trivial. % 0.62/0.86 apply (zenon_L132_); trivial. % 0.62/0.86 apply (zenon_L511_); trivial. % 0.62/0.86 (* end of lemma zenon_L512_ *) % 0.62/0.86 assert (zenon_L513_ : (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (ndr1_0) -> (~(c0_1 (a188))) -> (~(c1_1 (a188))) -> (~(c3_1 (a188))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H92 zenon_Ha zenon_H2c2 zenon_H2c3 zenon_H2c4. % 0.62/0.86 generalize (zenon_H92 (a188)). zenon_intro zenon_H2c5. % 0.62/0.86 apply (zenon_imply_s _ _ zenon_H2c5); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c6 ]. % 0.62/0.86 exact (zenon_H9 zenon_Ha). % 0.62/0.86 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H2c7 ]. % 0.62/0.86 exact (zenon_H2c2 zenon_H2c8). % 0.62/0.86 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H2ca | zenon_intro zenon_H2c9 ]. % 0.62/0.86 exact (zenon_H2c3 zenon_H2ca). % 0.62/0.86 exact (zenon_H2c4 zenon_H2c9). % 0.62/0.86 (* end of lemma zenon_L513_ *) % 0.62/0.86 assert (zenon_L514_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/(hskp23))) -> (~(c3_1 (a188))) -> (~(c1_1 (a188))) -> (~(c0_1 (a188))) -> (c1_1 (a197)) -> (~(c2_1 (a197))) -> (~(c0_1 (a197))) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.62/0.86 do 0 intro. intros zenon_H279 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H24d zenon_H24c zenon_H24b zenon_Ha zenon_H2b. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H92 | zenon_intro zenon_H27a ]. % 0.62/0.86 apply (zenon_L513_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H24a | zenon_intro zenon_H2c ]. % 0.62/0.86 apply (zenon_L200_); trivial. % 0.62/0.86 exact (zenon_H2b zenon_H2c). % 0.62/0.86 (* end of lemma zenon_L514_ *) % 0.62/0.86 assert (zenon_L515_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> (ndr1_0) -> (~(c0_1 (a188))) -> (~(c1_1 (a188))) -> (~(c3_1 (a188))) -> (~(c0_1 (a197))) -> (~(c2_1 (a197))) -> (c1_1 (a197)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/(hskp23))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H48 zenon_H19d zenon_H17 zenon_H14f zenon_H14e zenon_H14d zenon_Ha zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H24b zenon_H24c zenon_H24d zenon_H279. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.86 apply (zenon_L514_); trivial. % 0.62/0.86 apply (zenon_L93_); trivial. % 0.62/0.86 (* end of lemma zenon_L515_ *) % 0.62/0.86 assert (zenon_L516_ : ((ndr1_0)/\((c1_1 (a197))/\((~(c0_1 (a197)))/\(~(c2_1 (a197)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (c0_1 (a195)) -> (~(c3_1 (a195))) -> (~(c1_1 (a195))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/(hskp23))) -> (~(c3_1 (a188))) -> (~(c1_1 (a188))) -> (~(c0_1 (a188))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H290 zenon_H1e2 zenon_H1e3 zenon_H158 zenon_H2a4 zenon_H295 zenon_H294 zenon_H293 zenon_H1a6 zenon_Hc3 zenon_Hc2 zenon_Hc1 zenon_H156 zenon_H74 zenon_H279 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H14d zenon_H14e zenon_H14f zenon_H19d zenon_H48. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H291. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H24d. zenon_intro zenon_H292. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.86 apply (zenon_L515_); trivial. % 0.62/0.86 apply (zenon_L369_); trivial. % 0.62/0.86 (* end of lemma zenon_L516_ *) % 0.62/0.86 assert (zenon_L517_ : ((ndr1_0)/\((c0_1 (a194))/\((~(c1_1 (a194)))/\(~(c2_1 (a194)))))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a195))/\((~(c1_1 (a195)))/\(~(c3_1 (a195))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> (~(c0_1 (a188))) -> (~(c1_1 (a188))) -> (~(c3_1 (a188))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/(hskp23))) -> (~(hskp3)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp3)\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a197))/\((~(c0_1 (a197)))/\(~(c2_1 (a197))))))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H219 zenon_H2ba zenon_H1e2 zenon_H26a zenon_H146 zenon_H156 zenon_H1d3 zenon_H41 zenon_H1a6 zenon_Hf3 zenon_H2a4 zenon_H295 zenon_H294 zenon_H293 zenon_H19d zenon_H136 zenon_H2a6 zenon_H74 zenon_H158 zenon_H1e3 zenon_H48 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H279 zenon_H31 zenon_H182 zenon_H4d zenon_Hae zenon_H28e. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H14f. zenon_intro zenon_H21b. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H4b | zenon_intro zenon_H1e1 ]. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H234 | zenon_intro zenon_H290 ]. % 0.62/0.86 apply (zenon_L361_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H291. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H24d. zenon_intro zenon_H292. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.62/0.86 apply (zenon_L515_); trivial. % 0.62/0.86 apply (zenon_L362_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e5. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_Hc3. zenon_intro zenon_H1e6. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Hc1. zenon_intro zenon_Hc2. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H234 | zenon_intro zenon_H290 ]. % 0.62/0.86 apply (zenon_L425_); trivial. % 0.62/0.86 apply (zenon_L516_); trivial. % 0.62/0.86 (* end of lemma zenon_L517_ *) % 0.62/0.86 assert (zenon_L518_ : ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a190)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (ndr1_0) -> (forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))) -> (~(hskp17)) -> (~(hskp18)) -> False). % 0.62/0.86 do 0 intro. intros zenon_H101 zenon_H295 zenon_H293 zenon_H294 zenon_Ha zenon_H1f5 zenon_Hfd zenon_Hff. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H102 ]. % 0.62/0.86 apply (zenon_L349_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfe | zenon_intro zenon_H100 ]. % 0.62/0.86 exact (zenon_Hfd zenon_Hfe). % 0.62/0.86 exact (zenon_Hff zenon_H100). % 0.62/0.86 (* end of lemma zenon_L518_ *) % 0.62/0.86 assert (zenon_L519_ : ((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223)))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/(forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))))) -> (~(c0_1 (a193))) -> (c1_1 (a193)) -> (~(c3_1 (a193))) -> (~(hskp3)) -> (~(hskp12)) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp3)\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp15)) -> (~(hskp5)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H119 zenon_H146 zenon_H117 zenon_H174 zenon_H175 zenon_H176 zenon_H31 zenon_H5 zenon_H182 zenon_Hf3 zenon_Hce zenon_H3 zenon_H2d zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf9. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11a. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H110. zenon_intro zenon_H11b. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.62/0.86 apply (zenon_L330_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.86 apply (zenon_L48_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H103 | zenon_intro zenon_H118 ]. % 0.62/0.86 apply (zenon_L372_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H91 | zenon_intro zenon_H10d ]. % 0.62/0.86 apply (zenon_L84_); trivial. % 0.62/0.86 apply (zenon_L60_); trivial. % 0.62/0.86 (* end of lemma zenon_L519_ *) % 0.62/0.86 assert (zenon_L520_ : ((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> (~(hskp3)) -> (~(c0_1 (a193))) -> (c1_1 (a193)) -> (~(c3_1 (a193))) -> ((forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))\/((hskp3)\/(hskp12))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((~(c0_1 X69))\/(~(c1_1 X69))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(hskp12))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp12)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> (~(hskp6)) -> False). % 0.62/0.86 do 0 intro. intros zenon_H43 zenon_H193 zenon_H31 zenon_H174 zenon_H175 zenon_H176 zenon_H182 zenon_Hff zenon_Hfd zenon_H2b8 zenon_H295 zenon_H294 zenon_H293 zenon_H5 zenon_H101 zenon_H4b. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H91 | zenon_intro zenon_H194 ]. % 0.62/0.86 apply (zenon_L84_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H1b | zenon_intro zenon_H4c ]. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H102 ]. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H2b9 ]. % 0.62/0.86 apply (zenon_L112_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H211 | zenon_intro zenon_H6 ]. % 0.62/0.86 apply (zenon_L364_); trivial. % 0.62/0.86 exact (zenon_H5 zenon_H6). % 0.62/0.86 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Hfe | zenon_intro zenon_H100 ]. % 0.62/0.86 exact (zenon_Hfd zenon_Hfe). % 0.62/0.86 exact (zenon_Hff zenon_H100). % 0.62/0.86 exact (zenon_H4b zenon_H4c). % 0.62/0.86 (* end of lemma zenon_L520_ *) % 0.62/0.86 assert (zenon_L521_ : ((ndr1_0)/\((c1_1 (a198))/\((c3_1 (a198))/\(~(c2_1 (a198)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> ((hskp14)\/((hskp15)\/(hskp12))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp5)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210))))))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H287 zenon_Hae zenon_H4d zenon_H4b zenon_Haf zenon_H146 zenon_Hf3 zenon_H277 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H1ea zenon_H1eb zenon_H1ec zenon_H1f3 zenon_H7 zenon_Hce zenon_H2d zenon_Hf9 zenon_Hb1. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Hb6. zenon_intro zenon_H289. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hb5. zenon_intro zenon_Hb7. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H1 | zenon_intro zenon_Ha8 ]. % 0.62/0.86 apply (zenon_L501_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H1f. zenon_intro zenon_Haa. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.86 apply (zenon_L398_); trivial. % 0.62/0.86 apply (zenon_L504_); trivial. % 0.62/0.86 apply (zenon_L39_); trivial. % 0.62/0.86 (* end of lemma zenon_L521_ *) % 0.62/0.86 assert (zenon_L522_ : ((~(hskp7))\/((ndr1_0)/\((c1_1 (a197))/\((~(c0_1 (a197)))/\(~(c2_1 (a197))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a198))/\((c3_1 (a198))/\(~(c2_1 (a198))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> (~(hskp6)) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp12))) -> ((hskp14)\/((hskp15)\/(hskp12))) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(hskp5)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/((hskp8)\/(hskp9))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/((hskp7)\/(hskp9))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (ndr1_0) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H28e zenon_H28f zenon_Hae zenon_H4d zenon_H4b zenon_Haf zenon_Hf3 zenon_H277 zenon_H1f3 zenon_H7 zenon_Hce zenon_H2d zenon_Hf9 zenon_Hb1 zenon_H254 zenon_H236 zenon_H1ec zenon_H1eb zenon_H1ea zenon_Ha zenon_H195 zenon_H41 zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_H146 zenon_H1e2. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H234 | zenon_intro zenon_H290 ]. % 0.62/0.86 apply (zenon_L394_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H291. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H24d. zenon_intro zenon_H292. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H6d | zenon_intro zenon_H287 ]. % 0.62/0.86 apply (zenon_L395_); trivial. % 0.62/0.86 apply (zenon_L521_); trivial. % 0.62/0.86 (* end of lemma zenon_L522_ *) % 0.62/0.86 assert (zenon_L523_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (c3_1 (a210)) -> (c2_1 (a210)) -> (~(c1_1 (a210))) -> (c3_1 (a223)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c2_1 (a223))) -> (ndr1_0) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> False). % 0.62/0.86 do 0 intro. intros zenon_H277 zenon_H1e zenon_H1f zenon_H1d zenon_H110 zenon_H75 zenon_H10f zenon_Ha zenon_H1ea zenon_H1eb zenon_H1ec. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H274 | zenon_intro zenon_H278 ]. % 0.62/0.86 apply (zenon_L264_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1ae | zenon_intro zenon_H18d ]. % 0.62/0.86 apply (zenon_L103_); trivial. % 0.62/0.86 apply (zenon_L125_); trivial. % 0.62/0.86 (* end of lemma zenon_L523_ *) % 0.62/0.86 assert (zenon_L524_ : ((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (~(c2_1 (a223))) -> (c3_1 (a223)) -> (~(c1_1 (a210))) -> (c2_1 (a210)) -> (c3_1 (a210)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> False). % 0.62/0.86 do 0 intro. intros zenon_Hf5 zenon_Hf3 zenon_H1ec zenon_H1eb zenon_H1ea zenon_H10f zenon_H110 zenon_H1d zenon_H1f zenon_H1e zenon_H277 zenon_H293 zenon_H294 zenon_H295. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.86 apply (zenon_L523_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.86 apply (zenon_L50_); trivial. % 0.62/0.86 apply (zenon_L328_); trivial. % 0.62/0.86 (* end of lemma zenon_L524_ *) % 0.62/0.86 assert (zenon_L525_ : ((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(c1_1 (a210))) -> (c2_1 (a210)) -> (c3_1 (a210)) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (~(hskp5)) -> (~(hskp15)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H119 zenon_Hf9 zenon_Hf3 zenon_H295 zenon_H294 zenon_H293 zenon_H1d zenon_H1f zenon_H1e zenon_H1ea zenon_H1eb zenon_H1ec zenon_H277 zenon_H2d zenon_H3 zenon_Hce. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11a. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H110. zenon_intro zenon_H11b. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.62/0.86 apply (zenon_L48_); trivial. % 0.62/0.86 apply (zenon_L524_); trivial. % 0.62/0.86 (* end of lemma zenon_L525_ *) % 0.62/0.86 assert (zenon_L526_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(c1_1 (a210))) -> (c2_1 (a210)) -> (c3_1 (a210)) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (~(hskp5)) -> (~(hskp15)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (ndr1_0) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp17)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H1c3 zenon_Hf9 zenon_Hf3 zenon_H295 zenon_H294 zenon_H293 zenon_H1d zenon_H1f zenon_H1e zenon_H1ea zenon_H1eb zenon_H1ec zenon_H277 zenon_H2d zenon_H3 zenon_Hce zenon_Ha zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hfd zenon_H101. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hff | zenon_intro zenon_H119 ]. % 0.62/0.86 apply (zenon_L58_); trivial. % 0.62/0.86 apply (zenon_L525_); trivial. % 0.62/0.86 (* end of lemma zenon_L526_ *) % 0.62/0.86 assert (zenon_L527_ : ((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> (c0_1 (a202)) -> (~(c3_1 (a202))) -> (~(c2_1 (a202))) -> (~(c0_1 (a188))) -> (~(c1_1 (a188))) -> (~(c3_1 (a188))) -> (~(c0_1 (a197))) -> (~(c2_1 (a197))) -> (c1_1 (a197)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/(hskp23))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H145 zenon_H48 zenon_H214 zenon_H82 zenon_H81 zenon_H80 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H24b zenon_H24c zenon_H24d zenon_H279. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_Ha. zenon_intro zenon_H147. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H126. zenon_intro zenon_H148. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H127. zenon_intro zenon_H124. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.62/0.86 apply (zenon_L514_); trivial. % 0.62/0.86 apply (zenon_L150_); trivial. % 0.62/0.86 (* end of lemma zenon_L527_ *) % 0.62/0.86 assert (zenon_L528_ : ((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> (~(c1_1 (a210))) -> (c2_1 (a210)) -> (c3_1 (a210)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> False). % 0.62/0.86 do 0 intro. intros zenon_H119 zenon_Hf3 zenon_H1ec zenon_H1eb zenon_H1ea zenon_H1d zenon_H1f zenon_H1e zenon_H277 zenon_H80 zenon_H81 zenon_H82 zenon_Hc zenon_Hd zenon_He zenon_H202 zenon_H293 zenon_H294 zenon_H295. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11a. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H11a). zenon_intro zenon_H110. zenon_intro zenon_H11b. % 0.62/0.86 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.62/0.86 apply (zenon_L523_); trivial. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.62/0.86 apply (zenon_L401_); trivial. % 0.62/0.86 apply (zenon_L328_); trivial. % 0.62/0.86 (* end of lemma zenon_L528_ *) % 0.62/0.86 assert (zenon_L529_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> (c0_1 (a190)) -> (c2_1 (a190)) -> (~(c3_1 (a190))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (~(c1_1 (a210))) -> (c2_1 (a210)) -> (c3_1 (a210)) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (ndr1_0) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> (~(hskp17)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> False). % 0.62/0.86 do 0 intro. intros zenon_H1c3 zenon_Hf3 zenon_Hc zenon_Hd zenon_He zenon_H80 zenon_H81 zenon_H82 zenon_H294 zenon_H295 zenon_H293 zenon_H202 zenon_H1d zenon_H1f zenon_H1e zenon_H1ea zenon_H1eb zenon_H1ec zenon_H277 zenon_Ha zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_Hfd zenon_H101. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hff | zenon_intro zenon_H119 ]. % 0.62/0.86 apply (zenon_L58_); trivial. % 0.62/0.86 apply (zenon_L528_); trivial. % 0.62/0.86 (* end of lemma zenon_L529_ *) % 0.62/0.86 assert (zenon_L530_ : ((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c3_1 X26)\/(~(c2_1 X26))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a223))/\((~(c1_1 (a223)))/\(~(c2_1 (a223))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a257))/\((~(c1_1 (a257)))/\(~(c3_1 (a257))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> (~(hskp5)) -> ((hskp5)\/((hskp15)\/(hskp21))) -> (~(c1_1 (a195))) -> (~(c3_1 (a195))) -> (c0_1 (a195)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp17)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/(hskp23))) -> (c1_1 (a197)) -> (~(c2_1 (a197))) -> (~(c0_1 (a197))) -> (~(c3_1 (a188))) -> (~(c1_1 (a188))) -> (~(c0_1 (a188))) -> (~(c2_1 (a202))) -> (~(c3_1 (a202))) -> (c0_1 (a202)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c0_1 X24))))))\/((forall X79 : zenon_U, ((ndr1_0)->((c3_1 X79)\/((~(c1_1 X79))\/(~(c2_1 X79))))))\/(forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a222))/\((c2_1 (a222))/\(~(c3_1 (a222))))))) -> False). % 0.62/0.86 do 0 intro. intros zenon_Ha8 zenon_Haf zenon_H202 zenon_H1c3 zenon_Hf9 zenon_Hf3 zenon_H295 zenon_H294 zenon_H293 zenon_H1ea zenon_H1eb zenon_H1ec zenon_H277 zenon_H2d zenon_Hce zenon_Hc1 zenon_Hc2 zenon_Hc3 zenon_H101 zenon_H279 zenon_H24d zenon_H24c zenon_H24b zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H80 zenon_H81 zenon_H82 zenon_H214 zenon_H48 zenon_H1c2. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H1f. zenon_intro zenon_Haa. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.62/0.86 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.62/0.86 apply (zenon_L526_); trivial. % 0.62/0.86 apply (zenon_L527_); trivial. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.62/0.86 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.62/0.86 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.62/0.86 apply (zenon_L529_); trivial. % 0.62/0.86 apply (zenon_L527_); trivial. % 0.62/0.86 (* end of lemma zenon_L530_ *) % 0.62/0.86 assert (zenon_L531_ : (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1)))))) -> (ndr1_0) -> (~(c0_1 (a198))) -> (~(c2_1 (a198))) -> (c1_1 (a198)) -> False). % 0.62/0.86 do 0 intro. intros zenon_H24a zenon_Ha zenon_H260 zenon_Hb7 zenon_Hb6. % 0.62/0.86 generalize (zenon_H24a (a198)). zenon_intro zenon_H2cb. % 0.62/0.86 apply (zenon_imply_s _ _ zenon_H2cb); [ zenon_intro zenon_H9 | zenon_intro zenon_H2cc ]. % 0.62/0.86 exact (zenon_H9 zenon_Ha). % 0.62/0.86 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H264 | zenon_intro zenon_H2cd ]. % 0.62/0.86 exact (zenon_H260 zenon_H264). % 0.62/0.86 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hbd ]. % 0.62/0.86 exact (zenon_Hb7 zenon_Hbb). % 0.72/0.86 exact (zenon_Hbd zenon_Hb6). % 0.72/0.86 (* end of lemma zenon_L531_ *) % 0.72/0.86 assert (zenon_L532_ : (forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58)))))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1)))))) -> (~(c2_1 (a198))) -> (c1_1 (a198)) -> (c3_1 (a198)) -> False). % 0.72/0.86 do 0 intro. intros zenon_H35 zenon_Ha zenon_H24a zenon_Hb7 zenon_Hb6 zenon_Hb5. % 0.72/0.86 generalize (zenon_H35 (a198)). zenon_intro zenon_H268. % 0.72/0.86 apply (zenon_imply_s _ _ zenon_H268); [ zenon_intro zenon_H9 | zenon_intro zenon_H269 ]. % 0.72/0.86 exact (zenon_H9 zenon_Ha). % 0.72/0.86 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H260 | zenon_intro zenon_Hba ]. % 0.72/0.86 apply (zenon_L531_); trivial. % 0.72/0.86 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbc ]. % 0.72/0.86 exact (zenon_Hbd zenon_Hb6). % 0.72/0.86 exact (zenon_Hbc zenon_Hb5). % 0.72/0.86 (* end of lemma zenon_L532_ *) % 0.72/0.86 assert (zenon_L533_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> (ndr1_0) -> (~(c0_1 (a188))) -> (~(c1_1 (a188))) -> (~(c3_1 (a188))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a198)) -> (c1_1 (a198)) -> (~(c2_1 (a198))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/(hskp23))) -> False). % 0.72/0.86 do 0 intro. intros zenon_H48 zenon_Ha zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H19d zenon_H17 zenon_Hb5 zenon_Hb6 zenon_Hb7 zenon_H14f zenon_H14e zenon_H14d zenon_H279. % 0.72/0.86 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.72/0.86 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H92 | zenon_intro zenon_H27a ]. % 0.72/0.86 apply (zenon_L513_); trivial. % 0.72/0.86 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H24a | zenon_intro zenon_H2c ]. % 0.72/0.86 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H14c | zenon_intro zenon_H19e ]. % 0.72/0.86 apply (zenon_L73_); trivial. % 0.72/0.86 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H35 | zenon_intro zenon_H18 ]. % 0.72/0.86 apply (zenon_L532_); trivial. % 0.72/0.86 exact (zenon_H17 zenon_H18). % 0.72/0.86 exact (zenon_H2b zenon_H2c). % 0.72/0.86 apply (zenon_L93_); trivial. % 0.72/0.86 (* end of lemma zenon_L533_ *) % 0.72/0.86 assert (zenon_L534_ : ((ndr1_0)/\((c1_1 (a198))/\((c3_1 (a198))/\(~(c2_1 (a198)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210))))))) -> ((hskp14)\/((hskp15)\/(hskp12))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/(hskp23))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> (~(c3_1 (a188))) -> (~(c1_1 (a188))) -> (~(c0_1 (a188))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> False). % 0.72/0.86 do 0 intro. intros zenon_H287 zenon_H1e2 zenon_H1e3 zenon_H1e4 zenon_H1c0 zenon_Hb1 zenon_H7 zenon_H74 zenon_H156 zenon_H136 zenon_H4b zenon_H193 zenon_H293 zenon_H294 zenon_H295 zenon_H2a4 zenon_Hf3 zenon_H1ea zenon_H1eb zenon_H1ec zenon_H277 zenon_H146 zenon_Haf zenon_H4d zenon_Hae zenon_H279 zenon_H14d zenon_H14e zenon_H14f zenon_H19d zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H48. % 0.72/0.86 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 0.72/0.86 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Hb6. zenon_intro zenon_H289. % 0.72/0.86 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hb5. zenon_intro zenon_Hb7. % 0.72/0.86 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.86 apply (zenon_L533_); trivial. % 0.72/0.86 apply (zenon_L410_); trivial. % 0.72/0.86 (* end of lemma zenon_L534_ *) % 0.72/0.86 assert (zenon_L535_ : ((ndr1_0)/\((c0_1 (a195))/\((~(c1_1 (a195)))/\(~(c3_1 (a195)))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a197))/\((~(c0_1 (a197)))/\(~(c2_1 (a197))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/(hskp23))) -> (~(c3_1 (a188))) -> (~(c1_1 (a188))) -> (~(c0_1 (a188))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/((hskp7)\/(hskp9))) -> (c1_1 (a192)) -> (c0_1 (a192)) -> (~(c3_1 (a192))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> (c0_1 (a194)) -> (~(c2_1 (a194))) -> (~(c1_1 (a194))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> False). % 0.72/0.86 do 0 intro. intros zenon_H1e1 zenon_H28e zenon_H279 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H19d zenon_H48 zenon_H236 zenon_H1ec zenon_H1eb zenon_H1ea zenon_H74 zenon_H156 zenon_H14f zenon_H14e zenon_H14d zenon_H1a6 zenon_H293 zenon_H294 zenon_H295 zenon_H2a4 zenon_H158 zenon_H1e3 zenon_H1e2. % 0.72/0.86 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e5. % 0.72/0.86 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_Hc3. zenon_intro zenon_H1e6. % 0.72/0.86 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Hc1. zenon_intro zenon_Hc2. % 0.72/0.86 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H234 | zenon_intro zenon_H290 ]. % 0.72/0.86 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.86 apply (zenon_L249_); trivial. % 0.72/0.86 apply (zenon_L369_); trivial. % 0.72/0.86 apply (zenon_L516_); trivial. % 0.72/0.86 (* end of lemma zenon_L535_ *) % 0.72/0.86 assert (zenon_L536_ : ((ndr1_0)/\((c0_1 (a194))/\((~(c1_1 (a194)))/\(~(c2_1 (a194)))))) -> ((~(hskp6))\/((ndr1_0)/\((c0_1 (a195))/\((~(c1_1 (a195)))/\(~(c3_1 (a195))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c1_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> (~(hskp2)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp2))) -> (~(c3_1 (a192))) -> (c0_1 (a192)) -> (c1_1 (a192)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/((hskp7)\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> (~(c0_1 (a188))) -> (~(c1_1 (a188))) -> (~(c3_1 (a188))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/(hskp23))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a206)))/\((~(c2_1 (a206)))/\(~(c3_1 (a206))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c0_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp6)) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((~(c2_1 X44))\/(~(c3_1 X44))))))\/((forall Y : zenon_U, ((ndr1_0)->((c2_1 Y)\/((~(c0_1 Y))\/(~(c3_1 Y))))))\/(forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((~(c1_1 X4))\/(~(c2_1 X4))))))\/((forall X38 : zenon_U, ((ndr1_0)->((~(c0_1 X38))\/((~(c2_1 X38))\/(~(c3_1 X38))))))\/(hskp6))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((hskp14)\/((hskp15)\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a210))/\((c3_1 (a210))/\(~(c1_1 (a210))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c3_1 X10)\/((~(c0_1 X10))\/(~(c1_1 X10))))))\/(hskp13))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a198))/\((c3_1 (a198))/\(~(c2_1 (a198))))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a197))/\((~(c0_1 (a197)))/\(~(c2_1 (a197))))))) -> False). % 0.72/0.87 do 0 intro. intros zenon_H219 zenon_H2ba zenon_H1a6 zenon_H158 zenon_H1e2 zenon_H146 zenon_H136 zenon_H295 zenon_H294 zenon_H293 zenon_H41 zenon_H195 zenon_H1ea zenon_H1eb zenon_H1ec zenon_H236 zenon_H254 zenon_H48 zenon_H2c2 zenon_H2c3 zenon_H2c4 zenon_H19d zenon_H279 zenon_Hae zenon_H4d zenon_Haf zenon_H277 zenon_Hf3 zenon_H2a4 zenon_H193 zenon_H156 zenon_H74 zenon_H7 zenon_Hb1 zenon_H1c0 zenon_H1e4 zenon_H1e3 zenon_H28f zenon_H28e. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H14f. zenon_intro zenon_H21b. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H4b | zenon_intro zenon_H1e1 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H234 | zenon_intro zenon_H290 ]. % 0.72/0.87 apply (zenon_L394_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H291. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H24d. zenon_intro zenon_H292. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H6d | zenon_intro zenon_H287 ]. % 0.72/0.87 apply (zenon_L395_); trivial. % 0.72/0.87 apply (zenon_L534_); trivial. % 0.72/0.87 apply (zenon_L535_); trivial. % 0.72/0.87 (* end of lemma zenon_L536_ *) % 0.72/0.87 assert (zenon_L537_ : ((ndr1_0)/\((c1_1 (a197))/\((~(c0_1 (a197)))/\(~(c2_1 (a197)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> (~(c3_1 (a191))) -> (~(c2_1 (a191))) -> (~(c1_1 (a191))) -> (~(c3_1 (a190))) -> (c0_1 (a190)) -> (c2_1 (a190)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/(hskp23))) -> (~(c3_1 (a188))) -> (~(c1_1 (a188))) -> (~(c0_1 (a188))) -> (~(c1_1 (a194))) -> (~(c2_1 (a194))) -> (c0_1 (a194)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> False). % 0.72/0.87 do 0 intro. intros zenon_H290 zenon_H1e2 zenon_H1e4 zenon_H156 zenon_H243 zenon_H21d zenon_H21e zenon_H21c zenon_H293 zenon_H294 zenon_H295 zenon_H136 zenon_Hf3 zenon_H146 zenon_H279 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H14d zenon_H14e zenon_H14f zenon_H19d zenon_H48. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H291. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H24d. zenon_intro zenon_H292. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_L515_); trivial. % 0.72/0.87 apply (zenon_L418_); trivial. % 0.72/0.87 (* end of lemma zenon_L537_ *) % 0.72/0.87 assert (zenon_L538_ : ((ndr1_0)/\((c0_1 (a194))/\((~(c1_1 (a194)))/\(~(c2_1 (a194)))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a197))/\((~(c0_1 (a197)))/\(~(c2_1 (a197))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c2_1 X1)\/(~(c1_1 X1))))))\/(hskp23))) -> (~(c3_1 (a188))) -> (~(c1_1 (a188))) -> (~(c0_1 (a188))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a189))/\((c1_1 (a189))/\(c3_1 (a189)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a200))/\((c3_1 (a200))/\(~(c1_1 (a200))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c2_1 X3))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8)))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((~(c0_1 X19))\/(~(c3_1 X19))))))\/(hskp24))) -> ((~(hskp19))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c1_1 (a225))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/(forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22)))))))) -> (~(c1_1 (a191))) -> (~(c2_1 (a191))) -> (~(c3_1 (a191))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp13))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/((hskp10)\/(hskp24))) -> (c2_1 (a190)) -> (c0_1 (a190)) -> (~(c3_1 (a190))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c1_1 X8)\/((c2_1 X8)\/(~(c0_1 X8))))))\/((forall X58 : zenon_U, ((ndr1_0)->((~(c0_1 X58))\/((~(c1_1 X58))\/(~(c3_1 X58))))))\/(hskp9))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((c3_1 X21)\/(~(c2_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c0_1 X22))\/(~(c2_1 X22))))))\/(hskp19))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c0_1 X41)\/((~(c2_1 X41))\/(~(c3_1 X41))))))\/((forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a215))/\((c2_1 (a215))/\(c3_1 (a215)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(c3_1 W)))))\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a209))/\((c3_1 (a209))/\(~(c0_1 (a209))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a199))/\((~(c0_1 (a199)))/\(~(c1_1 (a199))))))) -> False). % 0.72/0.87 do 0 intro. intros zenon_H219 zenon_H28e zenon_H279 zenon_H2c4 zenon_H2c3 zenon_H2c2 zenon_H48 zenon_H1e3 zenon_H156 zenon_H158 zenon_H146 zenon_Hf3 zenon_H21c zenon_H21e zenon_H21d zenon_H243 zenon_H2a4 zenon_H295 zenon_H294 zenon_H293 zenon_H19d zenon_H136 zenon_H2a6 zenon_H74 zenon_H245 zenon_H1e4 zenon_H1e2. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H14f. zenon_intro zenon_H21b. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H234 | zenon_intro zenon_H290 ]. % 0.72/0.87 apply (zenon_L419_); trivial. % 0.72/0.87 apply (zenon_L537_); trivial. % 0.72/0.87 (* end of lemma zenon_L538_ *) % 0.72/0.87 apply NNPP. intro zenon_G. % 0.72/0.87 apply zenon_G. zenon_intro zenon_H2ce. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H2d0. zenon_intro zenon_H2cf. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d2. zenon_intro zenon_H2d1. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H2d4. zenon_intro zenon_H2d3. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H2d6. zenon_intro zenon_H2d5. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H2d8. zenon_intro zenon_H2d7. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H2da. zenon_intro zenon_H2d9. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H2ba. zenon_intro zenon_H2db. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H28e. zenon_intro zenon_H2dc. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H28f. zenon_intro zenon_H2dd. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H1e2. zenon_intro zenon_H2de. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H1e3. zenon_intro zenon_H2df. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H23d. zenon_intro zenon_H2e0. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_Hae. zenon_intro zenon_H2e1. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H1e4. zenon_intro zenon_H2e2. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_Hb1. zenon_intro zenon_H2e3. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_Haf. zenon_intro zenon_H2e4. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_Hfc. zenon_intro zenon_H2e5. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H1c2. zenon_intro zenon_H2e6. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H1c3. zenon_intro zenon_H2e7. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H146. zenon_intro zenon_H2e8. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H2ea. zenon_intro zenon_H2e9. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_Hf9. zenon_intro zenon_H2eb. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H90. zenon_intro zenon_H2ec. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H48. zenon_intro zenon_H2ed. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H74. zenon_intro zenon_H2ee. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H19a. zenon_intro zenon_H2ef. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H23b. zenon_intro zenon_H2f0. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H1b6. zenon_intro zenon_H2f1. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H279. zenon_intro zenon_H2f2. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_Hb0. zenon_intro zenon_H2f3. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H117. zenon_intro zenon_H2f4. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H156. zenon_intro zenon_H2f5. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H195. zenon_intro zenon_H2f6. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H49. zenon_intro zenon_H2f7. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H23e. zenon_intro zenon_H2f8. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H4d. zenon_intro zenon_H2f9. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H2fb. zenon_intro zenon_H2fa. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H254. zenon_intro zenon_H2fc. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H26a. zenon_intro zenon_H2fd. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_Hf3. zenon_intro zenon_H2fe. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H8c. zenon_intro zenon_H2ff. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H135. zenon_intro zenon_H300. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H202. zenon_intro zenon_H301. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H19. zenon_intro zenon_H302. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H1d3. zenon_intro zenon_H303. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H9d. zenon_intro zenon_H304. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H1f3. zenon_intro zenon_H305. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H193. zenon_intro zenon_H306. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H245. zenon_intro zenon_H307. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H243. zenon_intro zenon_H308. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H280. zenon_intro zenon_H309. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H2a6. zenon_intro zenon_H30a. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H70. zenon_intro zenon_H30b. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H25e. zenon_intro zenon_H30c. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H158. zenon_intro zenon_H30d. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H28a. zenon_intro zenon_H30e. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H1a8. zenon_intro zenon_H30f. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H19d. zenon_intro zenon_H310. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H22f. zenon_intro zenon_H311. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H1c0. zenon_intro zenon_H312. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H1a6. zenon_intro zenon_H313. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hcc. zenon_intro zenon_H314. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H101. zenon_intro zenon_H315. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H1cf. zenon_intro zenon_H316. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H136. zenon_intro zenon_H317. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H271. zenon_intro zenon_H318. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H277. zenon_intro zenon_H319. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H214. zenon_intro zenon_H31a. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H31c. zenon_intro zenon_H31b. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H182. zenon_intro zenon_H31d. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H2b8. zenon_intro zenon_H31e. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H1fd. zenon_intro zenon_H31f. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H321. zenon_intro zenon_H320. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H323. zenon_intro zenon_H322. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H236. zenon_intro zenon_H324. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H2a4. zenon_intro zenon_H325. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H44. zenon_intro zenon_H326. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H2f. zenon_intro zenon_H327. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H329. zenon_intro zenon_H328. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H171. zenon_intro zenon_H32a. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_Hbe. zenon_intro zenon_H32b. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H32d. zenon_intro zenon_H32c. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_Hce. zenon_intro zenon_H32e. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H5a. zenon_intro zenon_H32f. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H330. zenon_intro zenon_H7. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H9b | zenon_intro zenon_H331 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H3f | zenon_intro zenon_H332 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H41 | zenon_intro zenon_H333 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H31 | zenon_intro zenon_H334 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H33 | zenon_intro zenon_H335 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2d | zenon_intro zenon_H219 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H4b | zenon_intro zenon_H1e1 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H6d | zenon_intro zenon_H287 ]. % 0.72/0.87 apply (zenon_L40_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Hb6. zenon_intro zenon_H289. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hb5. zenon_intro zenon_Hb7. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H1 | zenon_intro zenon_Ha8 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.72/0.87 apply (zenon_L4_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H92 | zenon_intro zenon_H40 ]. % 0.72/0.87 apply (zenon_L41_); trivial. % 0.72/0.87 exact (zenon_H3f zenon_H40). % 0.72/0.87 apply (zenon_L38_); trivial. % 0.72/0.87 apply (zenon_L39_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e5. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_Hc3. zenon_intro zenon_H1e6. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Hc1. zenon_intro zenon_Hc2. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_L43_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.72/0.87 apply (zenon_L55_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hff | zenon_intro zenon_H119 ]. % 0.72/0.87 apply (zenon_L58_); trivial. % 0.72/0.87 apply (zenon_L62_); trivial. % 0.72/0.87 apply (zenon_L69_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H14f. zenon_intro zenon_H21b. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_L43_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H5b | zenon_intro zenon_H8b ]. % 0.72/0.87 apply (zenon_L75_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8d. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H78. zenon_intro zenon_H8e. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H76. zenon_intro zenon_H77. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H75 | zenon_intro zenon_H8f ]. % 0.72/0.87 apply (zenon_L29_); trivial. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H7f | zenon_intro zenon_H8a ]. % 0.72/0.87 apply (zenon_L76_); trivial. % 0.72/0.87 exact (zenon_H89 zenon_H8a). % 0.72/0.87 apply (zenon_L74_); trivial. % 0.72/0.87 apply (zenon_L79_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_Ha. zenon_intro zenon_H336. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H175. zenon_intro zenon_H337. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H174. zenon_intro zenon_H176. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2d | zenon_intro zenon_H219 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H4b | zenon_intro zenon_H1e1 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_L43_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.72/0.87 apply (zenon_L48_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H16f | zenon_intro zenon_H197 ]. % 0.72/0.87 apply (zenon_L81_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Ha. zenon_intro zenon_H198. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H198). zenon_intro zenon_H184. zenon_intro zenon_H199. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_H18e. zenon_intro zenon_H185. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H92 | zenon_intro zenon_H40 ]. % 0.72/0.87 apply (zenon_L88_); trivial. % 0.72/0.87 exact (zenon_H3f zenon_H40). % 0.72/0.87 apply (zenon_L90_); trivial. % 0.72/0.87 apply (zenon_L92_); trivial. % 0.72/0.87 apply (zenon_L39_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e5. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_Hc3. zenon_intro zenon_H1e6. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Hc1. zenon_intro zenon_Hc2. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.72/0.87 apply (zenon_L55_); trivial. % 0.72/0.87 apply (zenon_L92_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H14f. zenon_intro zenon_H21b. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H4b | zenon_intro zenon_H1e1 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_L94_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H5b | zenon_intro zenon_H8b ]. % 0.72/0.87 apply (zenon_L75_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8d. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H78. zenon_intro zenon_H8e. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H8e). zenon_intro zenon_H76. zenon_intro zenon_H77. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H103 | zenon_intro zenon_H118 ]. % 0.72/0.87 apply (zenon_L59_); trivial. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H91 | zenon_intro zenon_H10d ]. % 0.72/0.87 apply (zenon_L84_); trivial. % 0.72/0.87 apply (zenon_L96_); trivial. % 0.72/0.87 apply (zenon_L39_); trivial. % 0.72/0.87 apply (zenon_L124_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_Ha. zenon_intro zenon_H338. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H1eb. zenon_intro zenon_H339. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H1ec. zenon_intro zenon_H1ea. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2d | zenon_intro zenon_H219 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H4b | zenon_intro zenon_H1e1 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H1 | zenon_intro zenon_Ha8 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.72/0.87 apply (zenon_L4_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H92 | zenon_intro zenon_H40 ]. % 0.72/0.87 apply (zenon_L126_); trivial. % 0.72/0.87 exact (zenon_H3f zenon_H40). % 0.72/0.87 apply (zenon_L128_); trivial. % 0.72/0.87 apply (zenon_L39_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e5. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_Hc3. zenon_intro zenon_H1e6. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Hc1. zenon_intro zenon_Hc2. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H15 | zenon_intro zenon_H204 ]. % 0.72/0.87 apply (zenon_L133_); trivial. % 0.72/0.87 apply (zenon_L142_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H15 | zenon_intro zenon_H204 ]. % 0.72/0.87 apply (zenon_L133_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H205. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H82. zenon_intro zenon_H206. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H80. zenon_intro zenon_H81. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.72/0.87 apply (zenon_L131_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.72/0.87 apply (zenon_L138_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Ha. zenon_intro zenon_Hfa. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hd2. zenon_intro zenon_Hfb. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.72/0.87 apply (zenon_L145_); trivial. % 0.72/0.87 apply (zenon_L151_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.72/0.87 apply (zenon_L153_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_Ha. zenon_intro zenon_Hb3. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_He. zenon_intro zenon_Hb4. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hff | zenon_intro zenon_H119 ]. % 0.72/0.87 apply (zenon_L58_); trivial. % 0.72/0.87 apply (zenon_L158_); trivial. % 0.72/0.87 apply (zenon_L159_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hf8). zenon_intro zenon_Ha. zenon_intro zenon_Hfa. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Hd2. zenon_intro zenon_Hfb. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hd3. zenon_intro zenon_Hd4. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.72/0.87 apply (zenon_L145_); trivial. % 0.72/0.87 apply (zenon_L162_); trivial. % 0.72/0.87 apply (zenon_L164_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_Ha. zenon_intro zenon_H33a. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H21c. zenon_intro zenon_H33b. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H31 | zenon_intro zenon_H334 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2d | zenon_intro zenon_H219 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H4b | zenon_intro zenon_H1e1 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H234 | zenon_intro zenon_H290 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_L179_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.72/0.87 apply (zenon_L189_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.72/0.87 apply (zenon_L195_); trivial. % 0.72/0.87 apply (zenon_L177_); trivial. % 0.72/0.87 apply (zenon_L199_); trivial. % 0.72/0.87 apply (zenon_L39_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H291. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H24d. zenon_intro zenon_H292. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H6d | zenon_intro zenon_H287 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_L201_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.72/0.87 apply (zenon_L189_); trivial. % 0.72/0.87 apply (zenon_L205_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Hb6. zenon_intro zenon_H289. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hb5. zenon_intro zenon_Hb7. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.72/0.87 apply (zenon_L213_); trivial. % 0.72/0.87 apply (zenon_L216_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.72/0.87 apply (zenon_L187_); trivial. % 0.72/0.87 apply (zenon_L211_); trivial. % 0.72/0.87 apply (zenon_L188_); trivial. % 0.72/0.87 apply (zenon_L39_); trivial. % 0.72/0.87 apply (zenon_L205_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e5. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_Hc3. zenon_intro zenon_H1e6. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Hc1. zenon_intro zenon_Hc2. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H234 | zenon_intro zenon_H290 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H15 | zenon_intro zenon_H204 ]. % 0.72/0.87 apply (zenon_L218_); trivial. % 0.72/0.87 apply (zenon_L221_); trivial. % 0.72/0.87 apply (zenon_L229_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H291. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H24d. zenon_intro zenon_H292. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H6d | zenon_intro zenon_H287 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_L201_); trivial. % 0.72/0.87 apply (zenon_L229_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Hb6. zenon_intro zenon_H289. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hb5. zenon_intro zenon_Hb7. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H15 | zenon_intro zenon_H204 ]. % 0.72/0.87 apply (zenon_L208_); trivial. % 0.72/0.87 apply (zenon_L230_); trivial. % 0.72/0.87 apply (zenon_L239_); trivial. % 0.72/0.87 apply (zenon_L242_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H14f. zenon_intro zenon_H21b. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H4b | zenon_intro zenon_H1e1 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_L244_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.72/0.87 apply (zenon_L169_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_Ha. zenon_intro zenon_H147. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H126. zenon_intro zenon_H148. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H127. zenon_intro zenon_H124. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.72/0.87 apply (zenon_L173_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.72/0.87 apply (zenon_L184_); trivial. % 0.72/0.87 apply (zenon_L245_); trivial. % 0.72/0.87 apply (zenon_L177_); trivial. % 0.72/0.87 apply (zenon_L188_); trivial. % 0.72/0.87 apply (zenon_L39_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.72/0.87 apply (zenon_L169_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H145). zenon_intro zenon_Ha. zenon_intro zenon_H147. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H126. zenon_intro zenon_H148. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H127. zenon_intro zenon_H124. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.72/0.87 apply (zenon_L78_); trivial. % 0.72/0.87 apply (zenon_L245_); trivial. % 0.72/0.87 apply (zenon_L120_); trivial. % 0.72/0.87 apply (zenon_L39_); trivial. % 0.72/0.87 apply (zenon_L248_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_Ha. zenon_intro zenon_H338. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H1eb. zenon_intro zenon_H339. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H1ec. zenon_intro zenon_H1ea. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2d | zenon_intro zenon_H219 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H4b | zenon_intro zenon_H1e1 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H234 | zenon_intro zenon_H290 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_L249_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H1 | zenon_intro zenon_Ha8 ]. % 0.72/0.87 apply (zenon_L256_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H1f. zenon_intro zenon_Haa. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.72/0.87 apply (zenon_L263_); trivial. % 0.72/0.87 apply (zenon_L255_); trivial. % 0.72/0.87 apply (zenon_L188_); trivial. % 0.72/0.87 apply (zenon_L39_); trivial. % 0.72/0.87 apply (zenon_L268_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H291. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H24d. zenon_intro zenon_H292. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H6d | zenon_intro zenon_H287 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_L201_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.72/0.87 apply (zenon_L274_); trivial. % 0.72/0.87 apply (zenon_L268_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Hb6. zenon_intro zenon_H289. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hb5. zenon_intro zenon_Hb7. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.72/0.87 apply (zenon_L213_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_Ha. zenon_intro zenon_H16d. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H16d). zenon_intro zenon_H164. zenon_intro zenon_H16e. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H165. zenon_intro zenon_H163. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.72/0.87 apply (zenon_L173_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_Ha. zenon_intro zenon_H45. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H36. zenon_intro zenon_H46. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.72/0.87 apply (zenon_L214_); trivial. % 0.72/0.87 apply (zenon_L271_); trivial. % 0.72/0.87 apply (zenon_L211_); trivial. % 0.72/0.87 apply (zenon_L39_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.72/0.87 apply (zenon_L274_); trivial. % 0.72/0.87 apply (zenon_L278_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e5. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_Hc3. zenon_intro zenon_H1e6. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Hc1. zenon_intro zenon_Hc2. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H234 | zenon_intro zenon_H290 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_L249_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.72/0.87 apply (zenon_L48_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H6f ]. % 0.72/0.87 apply (zenon_L260_); trivial. % 0.72/0.87 apply (zenon_L223_); trivial. % 0.72/0.87 apply (zenon_L279_); trivial. % 0.72/0.87 apply (zenon_L188_); trivial. % 0.72/0.87 apply (zenon_L289_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H291. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H24d. zenon_intro zenon_H292. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H6d | zenon_intro zenon_H287 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_L201_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e7). zenon_intro zenon_Ha. zenon_intro zenon_H1e8. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e8). zenon_intro zenon_H106. zenon_intro zenon_H1e9. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e9). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1be | zenon_intro zenon_H1de ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.72/0.87 apply (zenon_L207_); trivial. % 0.72/0.87 apply (zenon_L279_); trivial. % 0.72/0.87 apply (zenon_L188_); trivial. % 0.72/0.87 apply (zenon_L289_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Hb6. zenon_intro zenon_H289. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hb5. zenon_intro zenon_Hb7. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H15 | zenon_intro zenon_H204 ]. % 0.72/0.87 apply (zenon_L208_); trivial. % 0.72/0.87 apply (zenon_L297_); trivial. % 0.72/0.87 apply (zenon_L239_); trivial. % 0.72/0.87 apply (zenon_L306_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H14f. zenon_intro zenon_H21b. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H4b | zenon_intro zenon_H1e1 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H234 | zenon_intro zenon_H290 ]. % 0.72/0.87 apply (zenon_L310_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H291. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H24d. zenon_intro zenon_H292. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H6d | zenon_intro zenon_H287 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_L201_); trivial. % 0.72/0.87 apply (zenon_L309_); trivial. % 0.72/0.87 apply (zenon_L319_); trivial. % 0.72/0.87 apply (zenon_L327_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Ha. zenon_intro zenon_H33c. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H294. zenon_intro zenon_H33d. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H295. zenon_intro zenon_H293. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H41 | zenon_intro zenon_H333 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H31 | zenon_intro zenon_H334 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H33 | zenon_intro zenon_H335 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2d | zenon_intro zenon_H219 ]. % 0.72/0.87 apply (zenon_L338_); trivial. % 0.72/0.87 apply (zenon_L371_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_Ha. zenon_intro zenon_H336. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H175. zenon_intro zenon_H337. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H174. zenon_intro zenon_H176. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2d | zenon_intro zenon_H219 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H4b | zenon_intro zenon_H1e1 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.72/0.87 apply (zenon_L330_); trivial. % 0.72/0.87 apply (zenon_L90_); trivial. % 0.72/0.87 apply (zenon_L92_); trivial. % 0.72/0.87 apply (zenon_L39_); trivial. % 0.72/0.87 apply (zenon_L392_); trivial. % 0.72/0.87 apply (zenon_L371_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_Ha. zenon_intro zenon_H338. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H1eb. zenon_intro zenon_H339. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H1ec. zenon_intro zenon_H1ea. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2d | zenon_intro zenon_H219 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H234 | zenon_intro zenon_H290 ]. % 0.72/0.87 apply (zenon_L394_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H291. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H24d. zenon_intro zenon_H292. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H6d | zenon_intro zenon_H287 ]. % 0.72/0.87 apply (zenon_L395_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Hb6. zenon_intro zenon_H289. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hb5. zenon_intro zenon_Hb7. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H15 | zenon_intro zenon_H204 ]. % 0.72/0.87 apply (zenon_L399_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H205. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H82. zenon_intro zenon_H206. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H80. zenon_intro zenon_H81. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H1 | zenon_intro zenon_Ha8 ]. % 0.72/0.87 apply (zenon_L400_); trivial. % 0.72/0.87 apply (zenon_L403_); trivial. % 0.72/0.87 apply (zenon_L393_); trivial. % 0.72/0.87 apply (zenon_L411_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_Ha. zenon_intro zenon_H33a. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H21c. zenon_intro zenon_H33b. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H31 | zenon_intro zenon_H334 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H33 | zenon_intro zenon_H335 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2d | zenon_intro zenon_H219 ]. % 0.72/0.87 apply (zenon_L338_); trivial. % 0.72/0.87 apply (zenon_L427_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_Ha. zenon_intro zenon_H336. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H175. zenon_intro zenon_H337. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H174. zenon_intro zenon_H176. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2d | zenon_intro zenon_H219 ]. % 0.72/0.87 apply (zenon_L452_); trivial. % 0.72/0.87 apply (zenon_L427_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_Ha. zenon_intro zenon_H338. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H1eb. zenon_intro zenon_H339. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H1ec. zenon_intro zenon_H1ea. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H33 | zenon_intro zenon_H335 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2d | zenon_intro zenon_H219 ]. % 0.72/0.87 apply (zenon_L497_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H14f. zenon_intro zenon_H21b. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H4b | zenon_intro zenon_H1e1 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H234 | zenon_intro zenon_H290 ]. % 0.72/0.87 apply (zenon_L419_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H291. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H24d. zenon_intro zenon_H292. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H6d | zenon_intro zenon_H287 ]. % 0.72/0.87 apply (zenon_L420_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Hb6. zenon_intro zenon_H289. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hb5. zenon_intro zenon_Hb7. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H1 | zenon_intro zenon_Ha8 ]. % 0.72/0.87 apply (zenon_L501_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H1f. zenon_intro zenon_Haa. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_Hca | zenon_intro zenon_Hf8 ]. % 0.72/0.87 apply (zenon_L243_); trivial. % 0.72/0.87 apply (zenon_L304_); trivial. % 0.72/0.87 apply (zenon_L39_); trivial. % 0.72/0.87 apply (zenon_L410_); trivial. % 0.72/0.87 apply (zenon_L426_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_Ha. zenon_intro zenon_H336. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H175. zenon_intro zenon_H337. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H174. zenon_intro zenon_H176. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2d | zenon_intro zenon_H219 ]. % 0.72/0.87 apply (zenon_L452_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H14f. zenon_intro zenon_H21b. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H14d. zenon_intro zenon_H14e. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H4b | zenon_intro zenon_H1e1 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H234 | zenon_intro zenon_H290 ]. % 0.72/0.87 apply (zenon_L419_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H291. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H24d. zenon_intro zenon_H292. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H6d | zenon_intro zenon_H287 ]. % 0.72/0.87 apply (zenon_L420_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Hb6. zenon_intro zenon_H289. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hb5. zenon_intro zenon_Hb7. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H1 | zenon_intro zenon_Ha8 ]. % 0.72/0.87 apply (zenon_L501_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H1f. zenon_intro zenon_Haa. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.72/0.87 apply (zenon_L503_); trivial. % 0.72/0.87 apply (zenon_L504_); trivial. % 0.72/0.87 apply (zenon_L39_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e5. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_Hc3. zenon_intro zenon_H1e6. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Hc1. zenon_intro zenon_Hc2. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H234 | zenon_intro zenon_H290 ]. % 0.72/0.87 apply (zenon_L505_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H291. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H24d. zenon_intro zenon_H292. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H6d | zenon_intro zenon_H287 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_L201_); trivial. % 0.72/0.87 apply (zenon_L369_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Hb6. zenon_intro zenon_H289. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hb5. zenon_intro zenon_Hb7. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H89 | zenon_intro zenon_H16c ]. % 0.72/0.87 apply (zenon_L447_); trivial. % 0.72/0.87 apply (zenon_L512_); trivial. % 0.72/0.87 apply (zenon_L418_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Ha. zenon_intro zenon_H33e. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H2c2. zenon_intro zenon_H33f. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H2c3. zenon_intro zenon_H2c4. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H3f | zenon_intro zenon_H332 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H92 | zenon_intro zenon_H40 ]. % 0.72/0.87 apply (zenon_L513_); trivial. % 0.72/0.87 exact (zenon_H3f zenon_H40). % 0.72/0.87 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_Ha. zenon_intro zenon_H33c. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H294. zenon_intro zenon_H33d. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H295. zenon_intro zenon_H293. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H41 | zenon_intro zenon_H333 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H31 | zenon_intro zenon_H334 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H33 | zenon_intro zenon_H335 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2d | zenon_intro zenon_H219 ]. % 0.72/0.87 apply (zenon_L338_); trivial. % 0.72/0.87 apply (zenon_L517_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_Ha. zenon_intro zenon_H336. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H175. zenon_intro zenon_H337. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H174. zenon_intro zenon_H176. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2d | zenon_intro zenon_H219 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H4b | zenon_intro zenon_H1e1 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H234 | zenon_intro zenon_H290 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hff | zenon_intro zenon_H119 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.72/0.87 apply (zenon_L330_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_Ha. zenon_intro zenon_H143. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H143). zenon_intro zenon_H13b. zenon_intro zenon_H144. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_H139. zenon_intro zenon_H13a. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hf5 ]. % 0.72/0.87 apply (zenon_L48_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hf5). zenon_intro zenon_Ha. zenon_intro zenon_Hf6. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hf6). zenon_intro zenon_He3. zenon_intro zenon_Hf7. % 0.72/0.87 apply (zenon_and_s _ _ zenon_Hf7). zenon_intro zenon_He1. zenon_intro zenon_He2. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H75 | zenon_intro zenon_Hf4 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H5e | zenon_intro zenon_H2a7 ]. % 0.72/0.87 apply (zenon_L347_); trivial. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H235 ]. % 0.72/0.87 apply (zenon_L518_); trivial. % 0.72/0.87 exact (zenon_H234 zenon_H235). % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 0.72/0.87 apply (zenon_L50_); trivial. % 0.72/0.87 apply (zenon_L328_); trivial. % 0.72/0.87 apply (zenon_L519_); trivial. % 0.72/0.87 apply (zenon_L378_); trivial. % 0.72/0.87 apply (zenon_L92_); trivial. % 0.72/0.87 apply (zenon_L39_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H291. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H24d. zenon_intro zenon_H292. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H5 | zenon_intro zenon_Hab ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H3 | zenon_intro zenon_Hb2 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hfd | zenon_intro zenon_H145 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hff | zenon_intro zenon_H119 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H43 ]. % 0.72/0.87 apply (zenon_L514_); trivial. % 0.72/0.87 apply (zenon_L520_); trivial. % 0.72/0.87 apply (zenon_L519_); trivial. % 0.72/0.87 apply (zenon_L378_); trivial. % 0.72/0.87 apply (zenon_L92_); trivial. % 0.72/0.87 apply (zenon_L39_); trivial. % 0.72/0.87 apply (zenon_L392_); trivial. % 0.72/0.87 apply (zenon_L517_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_Ha. zenon_intro zenon_H338. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H1eb. zenon_intro zenon_H339. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H1ec. zenon_intro zenon_H1ea. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2d | zenon_intro zenon_H219 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H4b | zenon_intro zenon_H1e1 ]. % 0.72/0.87 apply (zenon_L522_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_Ha. zenon_intro zenon_H1e5. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e5). zenon_intro zenon_Hc3. zenon_intro zenon_H1e6. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H1e6). zenon_intro zenon_Hc1. zenon_intro zenon_Hc2. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H234 | zenon_intro zenon_H290 ]. % 0.72/0.87 apply (zenon_L394_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H291. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H24d. zenon_intro zenon_H292. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H6d | zenon_intro zenon_H287 ]. % 0.72/0.87 apply (zenon_L395_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Ha. zenon_intro zenon_H288. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Hb6. zenon_intro zenon_H289. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hb5. zenon_intro zenon_Hb7. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H17 | zenon_intro zenon_H1e7 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H15 | zenon_intro zenon_H204 ]. % 0.72/0.87 apply (zenon_L399_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_Ha. zenon_intro zenon_H205. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H82. zenon_intro zenon_H206. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H206). zenon_intro zenon_H80. zenon_intro zenon_H81. % 0.72/0.87 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H1 | zenon_intro zenon_Ha8 ]. % 0.72/0.87 apply (zenon_L400_); trivial. % 0.72/0.87 apply (zenon_L530_); trivial. % 0.72/0.87 apply (zenon_L393_); trivial. % 0.72/0.87 apply (zenon_L536_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_Ha. zenon_intro zenon_H33a. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H21c. zenon_intro zenon_H33b. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H21e. zenon_intro zenon_H21d. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H33 | zenon_intro zenon_H335 ]. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2d | zenon_intro zenon_H219 ]. % 0.72/0.87 apply (zenon_L497_); trivial. % 0.72/0.87 apply (zenon_L538_); trivial. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_Ha. zenon_intro zenon_H336. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H175. zenon_intro zenon_H337. % 0.72/0.87 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H174. zenon_intro zenon_H176. % 0.72/0.87 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2d | zenon_intro zenon_H219 ]. % 0.72/0.87 apply (zenon_L452_); trivial. % 0.72/0.87 apply (zenon_L538_); trivial. % 0.72/0.87 Qed. % 0.72/0.87 % SZS output end Proof % 0.72/0.87 (* END-PROOF *) % 0.72/0.87 nodes searched: 31985 % 0.72/0.87 max branch formulas: 427 % 0.72/0.87 proof nodes created: 4708 % 0.72/0.87 formulas created: 31257 % 0.72/0.87 %------------------------------------------------------------------------------