%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN462+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n013.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 21 13:53:05 EDT 2022 % Result : Theorem 0.77s 0.94s % Output : Proof 0.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : SYN462+1 : TPTP v8.1.0. Released v2.1.0. % 0.10/0.11 % Command : run_zenon %s %d % 0.11/0.32 % Computer : n013.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 600 % 0.11/0.32 % DateTime : Mon Jul 11 13:31:29 EDT 2022 % 0.11/0.32 % CPUTime : % 0.77/0.94 (* PROOF-FOUND *) % 0.77/0.94 % SZS status Theorem % 0.77/0.94 (* BEGIN-PROOF *) % 0.77/0.94 % SZS output start Proof % 0.77/0.94 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c0_1 (a267))/\((~(c2_1 (a267)))/\(~(c3_1 (a267)))))))/\(((~(hskp1))\/((ndr1_0)/\((c3_1 (a268))/\((~(c1_1 (a268)))/\(~(c2_1 (a268)))))))/\(((~(hskp2))\/((ndr1_0)/\((c0_1 (a269))/\((~(c1_1 (a269)))/\(~(c2_1 (a269)))))))/\(((~(hskp3))\/((ndr1_0)/\((c0_1 (a270))/\((c3_1 (a270))/\(~(c2_1 (a270)))))))/\(((~(hskp4))\/((ndr1_0)/\((~(c0_1 (a271)))/\((~(c1_1 (a271)))/\(~(c3_1 (a271)))))))/\(((~(hskp5))\/((ndr1_0)/\((c0_1 (a272))/\((~(c1_1 (a272)))/\(~(c3_1 (a272)))))))/\(((~(hskp6))\/((ndr1_0)/\((c1_1 (a273))/\((c2_1 (a273))/\(~(c0_1 (a273)))))))/\(((~(hskp7))\/((ndr1_0)/\((c0_1 (a274))/\((c1_1 (a274))/\(~(c3_1 (a274)))))))/\(((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a275)))/\((~(c2_1 (a275)))/\(~(c3_1 (a275)))))))/\(((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280)))))))/\(((~(hskp10))\/((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281)))))))/\(((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282)))))))/\(((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))))/\(((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286)))))))/\(((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))))/\(((~(hskp15))\/((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291)))))))/\(((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))))/\(((~(hskp17))\/((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295)))))))/\(((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))))/\(((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))))/\(((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))))/\(((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311)))))))/\(((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313)))))))/\(((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318)))))))/\(((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352)))))))/\(((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356)))))))/\(((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28)))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27)))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp10)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11)))/\(((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))))/\(((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp7)\/(hskp12)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14))/\(((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp1)\/(hskp4)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp6)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((hskp15)\/(hskp12)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((hskp0)\/(hskp17)))/\(((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49))))))))/\(((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18)))/\(((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))))/\(((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((hskp0)\/(hskp10)))/\(((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp8))/\(((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19)))/\(((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))))/\(((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1)))/\(((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp22)\/(hskp0)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23)))/\(((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp0)))/\(((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24)))/\(((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp3)\/(hskp4)))/\(((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19)))/\(((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp7)\/(hskp8)))/\(((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20)))/\(((hskp29)\/((hskp22)\/(hskp11)))/\(((hskp29)\/((hskp9)\/(hskp11)))/\(((hskp16)\/((hskp7)\/(hskp18)))/\(((hskp16)\/((hskp30)\/(hskp5)))/\(((hskp30)\/((hskp14)\/(hskp17)))/\(((hskp21)\/((hskp10)\/(hskp23)))/\(((hskp22)\/((hskp6)\/(hskp9)))/\(((hskp0)\/((hskp19)\/(hskp9)))/\(((hskp14)\/((hskp25)\/(hskp12)))/\((hskp12)\/((hskp1)\/(hskp26)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.77/0.94 Proof. % 0.77/0.94 assert (zenon_L1_ : (~(hskp16)) -> (hskp16) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1 zenon_H2. % 0.77/0.94 exact (zenon_H1 zenon_H2). % 0.77/0.94 (* end of lemma zenon_L1_ *) % 0.77/0.94 assert (zenon_L2_ : (~(hskp7)) -> (hskp7) -> False). % 0.77/0.94 do 0 intro. intros zenon_H3 zenon_H4. % 0.77/0.94 exact (zenon_H3 zenon_H4). % 0.77/0.94 (* end of lemma zenon_L2_ *) % 0.77/0.94 assert (zenon_L3_ : (~(hskp18)) -> (hskp18) -> False). % 0.77/0.94 do 0 intro. intros zenon_H5 zenon_H6. % 0.77/0.94 exact (zenon_H5 zenon_H6). % 0.77/0.94 (* end of lemma zenon_L3_ *) % 0.77/0.94 assert (zenon_L4_ : ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp16)) -> (~(hskp7)) -> (~(hskp18)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.77/0.94 exact (zenon_H1 zenon_H2). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.77/0.94 exact (zenon_H3 zenon_H4). % 0.77/0.94 exact (zenon_H5 zenon_H6). % 0.77/0.94 (* end of lemma zenon_L4_ *) % 0.77/0.94 assert (zenon_L5_ : (~(hskp12)) -> (hskp12) -> False). % 0.77/0.94 do 0 intro. intros zenon_H9 zenon_Ha. % 0.77/0.94 exact (zenon_H9 zenon_Ha). % 0.77/0.94 (* end of lemma zenon_L5_ *) % 0.77/0.94 assert (zenon_L6_ : (~(hskp1)) -> (hskp1) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hb zenon_Hc. % 0.77/0.94 exact (zenon_Hb zenon_Hc). % 0.77/0.94 (* end of lemma zenon_L6_ *) % 0.77/0.94 assert (zenon_L7_ : (~(hskp26)) -> (hskp26) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hd zenon_He. % 0.77/0.94 exact (zenon_Hd zenon_He). % 0.77/0.94 (* end of lemma zenon_L7_ *) % 0.77/0.94 assert (zenon_L8_ : ((hskp12)\/((hskp1)\/(hskp26))) -> (~(hskp12)) -> (~(hskp1)) -> (~(hskp26)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hf zenon_H9 zenon_Hb zenon_Hd. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hf); [ zenon_intro zenon_Ha | zenon_intro zenon_H10 ]. % 0.77/0.94 exact (zenon_H9 zenon_Ha). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_Hc | zenon_intro zenon_He ]. % 0.77/0.94 exact (zenon_Hb zenon_Hc). % 0.77/0.94 exact (zenon_Hd zenon_He). % 0.77/0.94 (* end of lemma zenon_L8_ *) % 0.77/0.94 assert (zenon_L9_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.77/0.94 do 0 intro. intros zenon_H11 zenon_H12. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 (* end of lemma zenon_L9_ *) % 0.77/0.94 assert (zenon_L10_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a356))) -> (~(c1_1 (a356))) -> (~(c2_1 (a356))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H13 zenon_H12 zenon_H14 zenon_H15 zenon_H16. % 0.77/0.94 generalize (zenon_H13 (a356)). zenon_intro zenon_H17. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H17); [ zenon_intro zenon_H11 | zenon_intro zenon_H18 ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 0.77/0.94 exact (zenon_H14 zenon_H1a). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.77/0.94 exact (zenon_H15 zenon_H1c). % 0.77/0.94 exact (zenon_H16 zenon_H1b). % 0.77/0.94 (* end of lemma zenon_L10_ *) % 0.77/0.94 assert (zenon_L11_ : (~(hskp0)) -> (hskp0) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1d zenon_H1e. % 0.77/0.94 exact (zenon_H1d zenon_H1e). % 0.77/0.94 (* end of lemma zenon_L11_ *) % 0.77/0.94 assert (zenon_L12_ : ((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp0)) -> (~(hskp1)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1f zenon_H20 zenon_H1d zenon_Hb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H14. zenon_intro zenon_H22. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H13 | zenon_intro zenon_H23 ]. % 0.77/0.94 apply (zenon_L10_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H1e | zenon_intro zenon_Hc ]. % 0.77/0.94 exact (zenon_H1d zenon_H1e). % 0.77/0.94 exact (zenon_Hb zenon_Hc). % 0.77/0.94 (* end of lemma zenon_L12_ *) % 0.77/0.94 assert (zenon_L13_ : ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp0)) -> (~(hskp12)) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H24 zenon_H20 zenon_H1d zenon_H9 zenon_Hb zenon_Hf. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ]. % 0.77/0.94 apply (zenon_L8_); trivial. % 0.77/0.94 apply (zenon_L12_); trivial. % 0.77/0.94 (* end of lemma zenon_L13_ *) % 0.77/0.94 assert (zenon_L14_ : (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18)))))) -> (ndr1_0) -> (~(c0_1 (a284))) -> (~(c3_1 (a284))) -> (c2_1 (a284)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H25 zenon_H12 zenon_H26 zenon_H27 zenon_H28. % 0.77/0.94 generalize (zenon_H25 (a284)). zenon_intro zenon_H29. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H11 | zenon_intro zenon_H2a ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.77/0.94 exact (zenon_H26 zenon_H2c). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 0.77/0.94 exact (zenon_H27 zenon_H2e). % 0.77/0.94 exact (zenon_H2d zenon_H28). % 0.77/0.94 (* end of lemma zenon_L14_ *) % 0.77/0.94 assert (zenon_L15_ : (~(hskp14)) -> (hskp14) -> False). % 0.77/0.94 do 0 intro. intros zenon_H2f zenon_H30. % 0.77/0.94 exact (zenon_H2f zenon_H30). % 0.77/0.94 (* end of lemma zenon_L15_ *) % 0.77/0.94 assert (zenon_L16_ : ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp14)) -> (c2_1 (a284)) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (ndr1_0) -> False). % 0.77/0.94 do 0 intro. intros zenon_H31 zenon_H2f zenon_H28 zenon_H27 zenon_H26 zenon_H12. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H25 | zenon_intro zenon_H30 ]. % 0.77/0.94 apply (zenon_L14_); trivial. % 0.77/0.94 exact (zenon_H2f zenon_H30). % 0.77/0.94 (* end of lemma zenon_L16_ *) % 0.77/0.94 assert (zenon_L17_ : (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19)))))) -> (ndr1_0) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H32 zenon_H12 zenon_H33 zenon_H34 zenon_H35. % 0.77/0.94 generalize (zenon_H32 (a287)). zenon_intro zenon_H36. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H36); [ zenon_intro zenon_H11 | zenon_intro zenon_H37 ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ]. % 0.77/0.94 exact (zenon_H33 zenon_H39). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H3b | zenon_intro zenon_H3a ]. % 0.77/0.94 exact (zenon_H34 zenon_H3b). % 0.77/0.94 exact (zenon_H3a zenon_H35). % 0.77/0.94 (* end of lemma zenon_L17_ *) % 0.77/0.94 assert (zenon_L18_ : (~(hskp9)) -> (hskp9) -> False). % 0.77/0.94 do 0 intro. intros zenon_H3c zenon_H3d. % 0.77/0.94 exact (zenon_H3c zenon_H3d). % 0.77/0.94 (* end of lemma zenon_L18_ *) % 0.77/0.94 assert (zenon_L19_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (ndr1_0) -> False). % 0.77/0.94 do 0 intro. intros zenon_H3e zenon_H3c zenon_H35 zenon_H34 zenon_H33 zenon_H12. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H32 | zenon_intro zenon_H3d ]. % 0.77/0.94 apply (zenon_L17_); trivial. % 0.77/0.94 exact (zenon_H3c zenon_H3d). % 0.77/0.94 (* end of lemma zenon_L19_ *) % 0.77/0.94 assert (zenon_L20_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H3f zenon_H3e zenon_H3c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/0.94 apply (zenon_L19_); trivial. % 0.77/0.94 (* end of lemma zenon_L20_ *) % 0.77/0.94 assert (zenon_L21_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> (ndr1_0) -> (~(c0_1 (a284))) -> (~(c3_1 (a284))) -> (c2_1 (a284)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H42 zenon_H3e zenon_H3c zenon_H12 zenon_H26 zenon_H27 zenon_H28 zenon_H31. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.94 apply (zenon_L16_); trivial. % 0.77/0.94 apply (zenon_L20_); trivial. % 0.77/0.94 (* end of lemma zenon_L21_ *) % 0.77/0.94 assert (zenon_L22_ : (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26)))))) -> (ndr1_0) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H43 zenon_H12 zenon_H44 zenon_H45 zenon_H46. % 0.77/0.94 generalize (zenon_H43 (a280)). zenon_intro zenon_H47. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H47); [ zenon_intro zenon_H11 | zenon_intro zenon_H48 ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 0.77/0.94 exact (zenon_H44 zenon_H4a). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ]. % 0.77/0.94 exact (zenon_H4c zenon_H45). % 0.77/0.94 exact (zenon_H4b zenon_H46). % 0.77/0.94 (* end of lemma zenon_L22_ *) % 0.77/0.94 assert (zenon_L23_ : (~(hskp29)) -> (hskp29) -> False). % 0.77/0.94 do 0 intro. intros zenon_H4d zenon_H4e. % 0.77/0.94 exact (zenon_H4d zenon_H4e). % 0.77/0.94 (* end of lemma zenon_L23_ *) % 0.77/0.94 assert (zenon_L24_ : (~(hskp5)) -> (hskp5) -> False). % 0.77/0.94 do 0 intro. intros zenon_H4f zenon_H50. % 0.77/0.94 exact (zenon_H4f zenon_H50). % 0.77/0.94 (* end of lemma zenon_L24_ *) % 0.77/0.94 assert (zenon_L25_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp5)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H51 zenon_H46 zenon_H45 zenon_H44 zenon_H12 zenon_H4d zenon_H4f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H43 | zenon_intro zenon_H52 ]. % 0.77/0.94 apply (zenon_L22_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H4e | zenon_intro zenon_H50 ]. % 0.77/0.94 exact (zenon_H4d zenon_H4e). % 0.77/0.94 exact (zenon_H4f zenon_H50). % 0.77/0.94 (* end of lemma zenon_L25_ *) % 0.77/0.94 assert (zenon_L26_ : (forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (c0_1 (a304)) -> (c1_1 (a304)) -> (c2_1 (a304)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H53 zenon_H12 zenon_H54 zenon_H55 zenon_H56. % 0.77/0.94 generalize (zenon_H53 (a304)). zenon_intro zenon_H57. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H57); [ zenon_intro zenon_H11 | zenon_intro zenon_H58 ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H5a | zenon_intro zenon_H59 ]. % 0.77/0.94 exact (zenon_H5a zenon_H54). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H5c | zenon_intro zenon_H5b ]. % 0.77/0.94 exact (zenon_H5c zenon_H55). % 0.77/0.94 exact (zenon_H5b zenon_H56). % 0.77/0.94 (* end of lemma zenon_L26_ *) % 0.77/0.94 assert (zenon_L27_ : (~(hskp3)) -> (hskp3) -> False). % 0.77/0.94 do 0 intro. intros zenon_H5d zenon_H5e. % 0.77/0.94 exact (zenon_H5d zenon_H5e). % 0.77/0.94 (* end of lemma zenon_L27_ *) % 0.77/0.94 assert (zenon_L28_ : (~(hskp4)) -> (hskp4) -> False). % 0.77/0.94 do 0 intro. intros zenon_H5f zenon_H60. % 0.77/0.94 exact (zenon_H5f zenon_H60). % 0.77/0.94 (* end of lemma zenon_L28_ *) % 0.77/0.94 assert (zenon_L29_ : ((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> (~(hskp4)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H61 zenon_H62 zenon_H5d zenon_H5f. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H12. zenon_intro zenon_H63. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H54. zenon_intro zenon_H64. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H55. zenon_intro zenon_H56. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H53 | zenon_intro zenon_H65 ]. % 0.77/0.94 apply (zenon_L26_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H5e | zenon_intro zenon_H60 ]. % 0.77/0.94 exact (zenon_H5d zenon_H5e). % 0.77/0.94 exact (zenon_H5f zenon_H60). % 0.77/0.94 (* end of lemma zenon_L29_ *) % 0.77/0.94 assert (zenon_L30_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (ndr1_0) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H66 zenon_H62 zenon_H5f zenon_H5d zenon_H12 zenon_H44 zenon_H45 zenon_H46 zenon_H4f zenon_H51. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.77/0.94 apply (zenon_L25_); trivial. % 0.77/0.94 apply (zenon_L29_); trivial. % 0.77/0.94 (* end of lemma zenon_L30_ *) % 0.77/0.94 assert (zenon_L31_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H67 zenon_H42 zenon_H3e zenon_H3c zenon_H31. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/0.94 apply (zenon_L21_); trivial. % 0.77/0.94 (* end of lemma zenon_L31_ *) % 0.77/0.94 assert (zenon_L32_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H6a zenon_H42 zenon_H3e zenon_H3c zenon_H31 zenon_Hf zenon_Hb zenon_H1d zenon_H20 zenon_H24. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.94 apply (zenon_L13_); trivial. % 0.77/0.94 apply (zenon_L31_); trivial. % 0.77/0.94 (* end of lemma zenon_L32_ *) % 0.77/0.94 assert (zenon_L33_ : (~(hskp6)) -> (hskp6) -> False). % 0.77/0.94 do 0 intro. intros zenon_H6b zenon_H6c. % 0.77/0.94 exact (zenon_H6b zenon_H6c). % 0.77/0.94 (* end of lemma zenon_L33_ *) % 0.77/0.94 assert (zenon_L34_ : (~(hskp13)) -> (hskp13) -> False). % 0.77/0.94 do 0 intro. intros zenon_H6d zenon_H6e. % 0.77/0.94 exact (zenon_H6d zenon_H6e). % 0.77/0.94 (* end of lemma zenon_L34_ *) % 0.77/0.94 assert (zenon_L35_ : ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (c2_1 (a284)) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp13)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H6f zenon_H28 zenon_H27 zenon_H26 zenon_H12 zenon_H6b zenon_H6d. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H25 | zenon_intro zenon_H70 ]. % 0.77/0.94 apply (zenon_L14_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H6c | zenon_intro zenon_H6e ]. % 0.77/0.94 exact (zenon_H6b zenon_H6c). % 0.77/0.94 exact (zenon_H6d zenon_H6e). % 0.77/0.94 (* end of lemma zenon_L35_ *) % 0.77/0.94 assert (zenon_L36_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H71 zenon_H12 zenon_H72 zenon_H45 zenon_H46 zenon_H44. % 0.77/0.94 generalize (zenon_H71 (a280)). zenon_intro zenon_H73. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H73); [ zenon_intro zenon_H11 | zenon_intro zenon_H74 ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H76 | zenon_intro zenon_H75 ]. % 0.77/0.94 generalize (zenon_H72 (a280)). zenon_intro zenon_H77. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H77); [ zenon_intro zenon_H11 | zenon_intro zenon_H78 ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H79 | zenon_intro zenon_H49 ]. % 0.77/0.94 exact (zenon_H79 zenon_H76). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ]. % 0.77/0.94 exact (zenon_H4c zenon_H45). % 0.77/0.94 exact (zenon_H4b zenon_H46). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H4a | zenon_intro zenon_H4c ]. % 0.77/0.94 exact (zenon_H44 zenon_H4a). % 0.77/0.94 exact (zenon_H4c zenon_H45). % 0.77/0.94 (* end of lemma zenon_L36_ *) % 0.77/0.94 assert (zenon_L37_ : (~(hskp27)) -> (hskp27) -> False). % 0.77/0.94 do 0 intro. intros zenon_H7a zenon_H7b. % 0.77/0.94 exact (zenon_H7a zenon_H7b). % 0.77/0.94 (* end of lemma zenon_L37_ *) % 0.77/0.94 assert (zenon_L38_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(hskp27)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_H44 zenon_H46 zenon_H45 zenon_H12 zenon_H71 zenon_H7a. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H32 | zenon_intro zenon_H7d ]. % 0.77/0.94 apply (zenon_L17_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H72 | zenon_intro zenon_H7b ]. % 0.77/0.94 apply (zenon_L36_); trivial. % 0.77/0.94 exact (zenon_H7a zenon_H7b). % 0.77/0.94 (* end of lemma zenon_L38_ *) % 0.77/0.94 assert (zenon_L39_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a286)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H7e zenon_H12 zenon_H7f zenon_H80 zenon_H81. % 0.77/0.94 generalize (zenon_H7e (a286)). zenon_intro zenon_H82. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H82); [ zenon_intro zenon_H11 | zenon_intro zenon_H83 ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H85 | zenon_intro zenon_H84 ]. % 0.77/0.94 exact (zenon_H7f zenon_H85). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H87 | zenon_intro zenon_H86 ]. % 0.77/0.94 exact (zenon_H87 zenon_H80). % 0.77/0.94 exact (zenon_H86 zenon_H81). % 0.77/0.94 (* end of lemma zenon_L39_ *) % 0.77/0.94 assert (zenon_L40_ : (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(c1_1 (a280))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (c3_1 (a280)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H88 zenon_H12 zenon_H44 zenon_H89 zenon_H46. % 0.77/0.94 generalize (zenon_H88 (a280)). zenon_intro zenon_H8a. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H8a); [ zenon_intro zenon_H11 | zenon_intro zenon_H8b ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H4a | zenon_intro zenon_H8c ]. % 0.77/0.94 exact (zenon_H44 zenon_H4a). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H79 | zenon_intro zenon_H4b ]. % 0.77/0.94 generalize (zenon_H89 (a280)). zenon_intro zenon_H8d. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H8d); [ zenon_intro zenon_H11 | zenon_intro zenon_H8e ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H76 | zenon_intro zenon_H8f ]. % 0.77/0.94 exact (zenon_H79 zenon_H76). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H4a | zenon_intro zenon_H4b ]. % 0.77/0.94 exact (zenon_H44 zenon_H4a). % 0.77/0.94 exact (zenon_H4b zenon_H46). % 0.77/0.94 exact (zenon_H4b zenon_H46). % 0.77/0.94 (* end of lemma zenon_L40_ *) % 0.77/0.94 assert (zenon_L41_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (c3_1 (a280)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (~(c1_1 (a280))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H90 zenon_H81 zenon_H80 zenon_H7f zenon_H46 zenon_H89 zenon_H44 zenon_H12 zenon_H1. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.77/0.94 apply (zenon_L39_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.77/0.94 apply (zenon_L40_); trivial. % 0.77/0.94 exact (zenon_H1 zenon_H2). % 0.77/0.94 (* end of lemma zenon_L41_ *) % 0.77/0.94 assert (zenon_L42_ : (forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (c0_1 (a274)) -> (c1_1 (a274)) -> (c2_1 (a274)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H53 zenon_H12 zenon_H92 zenon_H93 zenon_H94. % 0.77/0.94 generalize (zenon_H53 (a274)). zenon_intro zenon_H95. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H95); [ zenon_intro zenon_H11 | zenon_intro zenon_H96 ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H98 | zenon_intro zenon_H97 ]. % 0.77/0.94 exact (zenon_H98 zenon_H92). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H9a | zenon_intro zenon_H99 ]. % 0.77/0.94 exact (zenon_H9a zenon_H93). % 0.77/0.94 exact (zenon_H99 zenon_H94). % 0.77/0.94 (* end of lemma zenon_L42_ *) % 0.77/0.94 assert (zenon_L43_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H9b zenon_H12 zenon_H53 zenon_H92 zenon_H93. % 0.77/0.94 generalize (zenon_H9b (a274)). zenon_intro zenon_H9c. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H9c); [ zenon_intro zenon_H11 | zenon_intro zenon_H9d ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H94 | zenon_intro zenon_H9e ]. % 0.77/0.94 apply (zenon_L42_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H98 | zenon_intro zenon_H9a ]. % 0.77/0.94 exact (zenon_H98 zenon_H92). % 0.77/0.94 exact (zenon_H9a zenon_H93). % 0.77/0.94 (* end of lemma zenon_L43_ *) % 0.77/0.94 assert (zenon_L44_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp16)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a286)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (~(hskp6)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H9f zenon_H1 zenon_H44 zenon_H46 zenon_H7f zenon_H80 zenon_H81 zenon_H90 zenon_H93 zenon_H92 zenon_H12 zenon_H9b zenon_H6b. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.77/0.94 apply (zenon_L41_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.77/0.94 apply (zenon_L43_); trivial. % 0.77/0.94 exact (zenon_H6b zenon_H6c). % 0.77/0.94 (* end of lemma zenon_L44_ *) % 0.77/0.94 assert (zenon_L45_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp27)) -> (c2_1 (a280)) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp16)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a286)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Ha1 zenon_H7a zenon_H45 zenon_H33 zenon_H34 zenon_H35 zenon_H7c zenon_H9f zenon_H1 zenon_H44 zenon_H46 zenon_H7f zenon_H80 zenon_H81 zenon_H90 zenon_H93 zenon_H92 zenon_H12 zenon_H6b. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.94 apply (zenon_L38_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.94 apply (zenon_L39_); trivial. % 0.77/0.94 apply (zenon_L44_); trivial. % 0.77/0.94 (* end of lemma zenon_L45_ *) % 0.77/0.94 assert (zenon_L46_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (c1_1 (a276)) -> (c2_1 (a276)) -> (c3_1 (a276)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Ha3 zenon_H12 zenon_Ha4 zenon_Ha5 zenon_Ha6. % 0.77/0.94 generalize (zenon_Ha3 (a276)). zenon_intro zenon_Ha7. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_Ha7); [ zenon_intro zenon_H11 | zenon_intro zenon_Ha8 ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_Haa | zenon_intro zenon_Ha9 ]. % 0.77/0.94 exact (zenon_Haa zenon_Ha4). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Hac | zenon_intro zenon_Hab ]. % 0.77/0.94 exact (zenon_Hac zenon_Ha5). % 0.77/0.94 exact (zenon_Hab zenon_Ha6). % 0.77/0.94 (* end of lemma zenon_L46_ *) % 0.77/0.94 assert (zenon_L47_ : (~(hskp19)) -> (hskp19) -> False). % 0.77/0.94 do 0 intro. intros zenon_Had zenon_Hae. % 0.77/0.94 exact (zenon_Had zenon_Hae). % 0.77/0.94 (* end of lemma zenon_L47_ *) % 0.77/0.94 assert (zenon_L48_ : (~(hskp20)) -> (hskp20) -> False). % 0.77/0.94 do 0 intro. intros zenon_Haf zenon_Hb0. % 0.77/0.94 exact (zenon_Haf zenon_Hb0). % 0.77/0.94 (* end of lemma zenon_L48_ *) % 0.77/0.94 assert (zenon_L49_ : ((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(hskp20)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hb1 zenon_Hb2 zenon_Had zenon_Haf. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 0.77/0.94 apply (zenon_L46_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb0 ]. % 0.77/0.94 exact (zenon_Had zenon_Hae). % 0.77/0.94 exact (zenon_Haf zenon_Hb0). % 0.77/0.94 (* end of lemma zenon_L49_ *) % 0.77/0.94 assert (zenon_L50_ : (forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29)))))) -> (ndr1_0) -> (~(c0_1 (a305))) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hb6 zenon_H12 zenon_Hb7 zenon_Hb8 zenon_Hb9. % 0.77/0.94 generalize (zenon_Hb6 (a305)). zenon_intro zenon_Hba. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_Hba); [ zenon_intro zenon_H11 | zenon_intro zenon_Hbb ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbc ]. % 0.77/0.94 exact (zenon_Hb7 zenon_Hbd). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ]. % 0.77/0.94 exact (zenon_Hb8 zenon_Hbf). % 0.77/0.94 exact (zenon_Hbe zenon_Hb9). % 0.77/0.94 (* end of lemma zenon_L50_ *) % 0.77/0.94 assert (zenon_L51_ : (forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hc0 zenon_H12 zenon_Hc1 zenon_H92 zenon_H93. % 0.77/0.94 generalize (zenon_Hc0 (a274)). zenon_intro zenon_Hc2. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_Hc2); [ zenon_intro zenon_H11 | zenon_intro zenon_Hc3 ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc3); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H9e ]. % 0.77/0.94 exact (zenon_Hc1 zenon_Hc4). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H98 | zenon_intro zenon_H9a ]. % 0.77/0.94 exact (zenon_H98 zenon_H92). % 0.77/0.94 exact (zenon_H9a zenon_H93). % 0.77/0.94 (* end of lemma zenon_L51_ *) % 0.77/0.94 assert (zenon_L52_ : ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (~(c0_1 (a305))) -> (c3_1 (a280)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (~(c1_1 (a280))) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hc5 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H46 zenon_H89 zenon_H44 zenon_H12 zenon_Hc1 zenon_H92 zenon_H93. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hc6 ]. % 0.77/0.94 apply (zenon_L50_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc0 ]. % 0.77/0.94 apply (zenon_L40_); trivial. % 0.77/0.94 apply (zenon_L51_); trivial. % 0.77/0.94 (* end of lemma zenon_L52_ *) % 0.77/0.94 assert (zenon_L53_ : ((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (~(c0_1 (a305))) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp6)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H61 zenon_H9f zenon_H93 zenon_H92 zenon_Hc1 zenon_H44 zenon_H46 zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_Hc5 zenon_H6b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H12. zenon_intro zenon_H63. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H54. zenon_intro zenon_H64. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H55. zenon_intro zenon_H56. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.77/0.94 apply (zenon_L52_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.77/0.94 apply (zenon_L26_); trivial. % 0.77/0.94 exact (zenon_H6b zenon_H6c). % 0.77/0.94 (* end of lemma zenon_L53_ *) % 0.77/0.94 assert (zenon_L54_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hc7 zenon_H66 zenon_H9f zenon_H6b zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H44 zenon_H45 zenon_H46 zenon_H4f zenon_H51. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.77/0.94 apply (zenon_L25_); trivial. % 0.77/0.94 apply (zenon_L53_); trivial. % 0.77/0.94 (* end of lemma zenon_L54_ *) % 0.77/0.94 assert (zenon_L55_ : (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(c1_1 (a280))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H88 zenon_H12 zenon_H44 zenon_H71 zenon_H45 zenon_H46. % 0.77/0.94 generalize (zenon_H88 (a280)). zenon_intro zenon_H8a. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H8a); [ zenon_intro zenon_H11 | zenon_intro zenon_H8b ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H4a | zenon_intro zenon_H8c ]. % 0.77/0.94 exact (zenon_H44 zenon_H4a). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H79 | zenon_intro zenon_H4b ]. % 0.77/0.94 generalize (zenon_H71 (a280)). zenon_intro zenon_H73. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H73); [ zenon_intro zenon_H11 | zenon_intro zenon_H74 ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H76 | zenon_intro zenon_H75 ]. % 0.77/0.94 exact (zenon_H79 zenon_H76). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H4a | zenon_intro zenon_H4c ]. % 0.77/0.94 exact (zenon_H44 zenon_H4a). % 0.77/0.94 exact (zenon_H4c zenon_H45). % 0.77/0.94 exact (zenon_H4b zenon_H46). % 0.77/0.94 (* end of lemma zenon_L55_ *) % 0.77/0.94 assert (zenon_L56_ : (forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))) -> (ndr1_0) -> (~(c3_1 (a303))) -> (c1_1 (a303)) -> (c2_1 (a303)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hca zenon_H12 zenon_Hcb zenon_Hcc zenon_Hcd. % 0.77/0.94 generalize (zenon_Hca (a303)). zenon_intro zenon_Hce. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_Hce); [ zenon_intro zenon_H11 | zenon_intro zenon_Hcf ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd0 ]. % 0.77/0.94 exact (zenon_Hcb zenon_Hd1). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd2 ]. % 0.77/0.94 exact (zenon_Hd3 zenon_Hcc). % 0.77/0.94 exact (zenon_Hd2 zenon_Hcd). % 0.77/0.94 (* end of lemma zenon_L56_ *) % 0.77/0.94 assert (zenon_L57_ : (~(hskp21)) -> (hskp21) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hd4 zenon_Hd5. % 0.77/0.94 exact (zenon_Hd4 zenon_Hd5). % 0.77/0.94 (* end of lemma zenon_L57_ *) % 0.77/0.94 assert (zenon_L58_ : ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a280))) -> (c2_1 (a303)) -> (c1_1 (a303)) -> (~(c3_1 (a303))) -> (ndr1_0) -> (~(hskp21)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hd6 zenon_H46 zenon_H45 zenon_H71 zenon_H44 zenon_Hcd zenon_Hcc zenon_Hcb zenon_H12 zenon_Hd4. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H88 | zenon_intro zenon_Hd7 ]. % 0.77/0.94 apply (zenon_L55_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 0.77/0.94 apply (zenon_L56_); trivial. % 0.77/0.94 exact (zenon_Hd4 zenon_Hd5). % 0.77/0.94 (* end of lemma zenon_L58_ *) % 0.77/0.94 assert (zenon_L59_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp21)) -> (~(c3_1 (a303))) -> (c1_1 (a303)) -> (c2_1 (a303)) -> (c2_1 (a280)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp16)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a286)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Ha1 zenon_Hd4 zenon_Hcb zenon_Hcc zenon_Hcd zenon_H45 zenon_Hd6 zenon_H9f zenon_H1 zenon_H44 zenon_H46 zenon_H7f zenon_H80 zenon_H81 zenon_H90 zenon_H93 zenon_H92 zenon_H12 zenon_H6b. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.94 apply (zenon_L58_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.94 apply (zenon_L39_); trivial. % 0.77/0.94 apply (zenon_L44_); trivial. % 0.77/0.94 (* end of lemma zenon_L59_ *) % 0.77/0.94 assert (zenon_L60_ : (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hd8 zenon_H12 zenon_Hd9 zenon_Hda zenon_Hdb. % 0.77/0.94 generalize (zenon_Hd8 (a307)). zenon_intro zenon_Hdc. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_Hdc); [ zenon_intro zenon_H11 | zenon_intro zenon_Hdd ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hde ]. % 0.77/0.94 exact (zenon_Hd9 zenon_Hdf). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_He1 | zenon_intro zenon_He0 ]. % 0.77/0.94 exact (zenon_He1 zenon_Hda). % 0.77/0.94 exact (zenon_He0 zenon_Hdb). % 0.77/0.94 (* end of lemma zenon_L60_ *) % 0.77/0.94 assert (zenon_L61_ : ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a307)) -> (c0_1 (a307)) -> (~(c1_1 (a307))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a280))) -> (ndr1_0) -> (c1_1 (a276)) -> (c2_1 (a276)) -> (c3_1 (a276)) -> False). % 0.77/0.94 do 0 intro. intros zenon_He2 zenon_Hdb zenon_Hda zenon_Hd9 zenon_H46 zenon_H45 zenon_H71 zenon_H44 zenon_H12 zenon_Ha4 zenon_Ha5 zenon_Ha6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_He3 ]. % 0.77/0.94 apply (zenon_L60_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H88 | zenon_intro zenon_Ha3 ]. % 0.77/0.94 apply (zenon_L55_); trivial. % 0.77/0.94 apply (zenon_L46_); trivial. % 0.77/0.94 (* end of lemma zenon_L61_ *) % 0.77/0.94 assert (zenon_L62_ : ((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a280)) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp16)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a286)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(hskp6)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hb1 zenon_Ha1 zenon_H45 zenon_Hd9 zenon_Hda zenon_Hdb zenon_He2 zenon_H9f zenon_H1 zenon_H44 zenon_H46 zenon_H7f zenon_H80 zenon_H81 zenon_H90 zenon_H93 zenon_H92 zenon_H6b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.94 apply (zenon_L61_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.94 apply (zenon_L39_); trivial. % 0.77/0.94 apply (zenon_L44_); trivial. % 0.77/0.94 (* end of lemma zenon_L62_ *) % 0.77/0.94 assert (zenon_L63_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a286)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_He4 zenon_He5 zenon_He2 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H35 zenon_H34 zenon_H33 zenon_H7f zenon_H80 zenon_H81 zenon_H9f zenon_H6b zenon_H93 zenon_H92 zenon_H1 zenon_H90 zenon_Ha1. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.94 apply (zenon_L45_); trivial. % 0.77/0.94 apply (zenon_L62_); trivial. % 0.77/0.94 (* end of lemma zenon_L63_ *) % 0.77/0.94 assert (zenon_L64_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a286)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_He8 zenon_He9 zenon_He5 zenon_He2 zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_Hd6 zenon_H46 zenon_H45 zenon_H44 zenon_H7f zenon_H80 zenon_H81 zenon_H9f zenon_H6b zenon_H93 zenon_H92 zenon_H1 zenon_H90 zenon_Ha1. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.94 apply (zenon_L59_); trivial. % 0.77/0.94 apply (zenon_L63_); trivial. % 0.77/0.94 (* end of lemma zenon_L64_ *) % 0.77/0.94 assert (zenon_L65_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (ndr1_0) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a286)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c3_1 (a274))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hec zenon_He9 zenon_He2 zenon_Hd6 zenon_He5 zenon_Hb2 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H35 zenon_H34 zenon_H33 zenon_H12 zenon_H7f zenon_H80 zenon_H81 zenon_H9f zenon_H6b zenon_H93 zenon_H92 zenon_H1 zenon_H90 zenon_Ha1 zenon_H51 zenon_H4f zenon_Hc5 zenon_Hc1 zenon_H66 zenon_Hed. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.94 apply (zenon_L45_); trivial. % 0.77/0.94 apply (zenon_L49_); trivial. % 0.77/0.94 apply (zenon_L54_); trivial. % 0.77/0.94 apply (zenon_L64_); trivial. % 0.77/0.94 (* end of lemma zenon_L65_ *) % 0.77/0.94 assert (zenon_L66_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (ndr1_0) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H9b zenon_H12 zenon_Hee zenon_Hef zenon_Hf0. % 0.77/0.94 generalize (zenon_H9b (a293)). zenon_intro zenon_Hf1. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_Hf1); [ zenon_intro zenon_H11 | zenon_intro zenon_Hf2 ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hf3 ]. % 0.77/0.94 exact (zenon_Hee zenon_Hf4). % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hf5 ]. % 0.77/0.94 exact (zenon_Hf6 zenon_Hef). % 0.77/0.94 exact (zenon_Hf5 zenon_Hf0). % 0.77/0.94 (* end of lemma zenon_L66_ *) % 0.77/0.94 assert (zenon_L67_ : (~(hskp8)) -> (hskp8) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hf7 zenon_Hf8. % 0.77/0.94 exact (zenon_Hf7 zenon_Hf8). % 0.77/0.94 (* end of lemma zenon_L67_ *) % 0.77/0.94 assert (zenon_L68_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp8)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hf9 zenon_Hfa zenon_H46 zenon_H45 zenon_H44 zenon_Hf7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H43 | zenon_intro zenon_Hfd ]. % 0.77/0.94 apply (zenon_L22_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9b | zenon_intro zenon_Hf8 ]. % 0.77/0.94 apply (zenon_L66_); trivial. % 0.77/0.94 exact (zenon_Hf7 zenon_Hf8). % 0.77/0.94 (* end of lemma zenon_L68_ *) % 0.77/0.94 assert (zenon_L69_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> (~(c3_1 (a274))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H3f zenon_Hfe zenon_Hfa zenon_Hf7 zenon_Hed zenon_H66 zenon_Hc1 zenon_Hc5 zenon_H4f zenon_H51 zenon_Ha1 zenon_H90 zenon_H92 zenon_H93 zenon_H6b zenon_H9f zenon_H81 zenon_H80 zenon_H7f zenon_H45 zenon_H46 zenon_H44 zenon_H7c zenon_Hb2 zenon_He5 zenon_Hd6 zenon_He2 zenon_He9 zenon_Hec. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.94 apply (zenon_L65_); trivial. % 0.77/0.94 apply (zenon_L68_); trivial. % 0.77/0.94 (* end of lemma zenon_L69_ *) % 0.77/0.94 assert (zenon_L70_ : (~(hskp10)) -> (hskp10) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hff zenon_H100. % 0.77/0.94 exact (zenon_Hff zenon_H100). % 0.77/0.94 (* end of lemma zenon_L70_ *) % 0.77/0.94 assert (zenon_L71_ : (~(hskp23)) -> (hskp23) -> False). % 0.77/0.94 do 0 intro. intros zenon_H101 zenon_H102. % 0.77/0.94 exact (zenon_H101 zenon_H102). % 0.77/0.94 (* end of lemma zenon_L71_ *) % 0.77/0.94 assert (zenon_L72_ : ((hskp21)\/((hskp10)\/(hskp23))) -> (~(hskp21)) -> (~(hskp10)) -> (~(hskp23)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H103 zenon_Hd4 zenon_Hff zenon_H101. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H104 ]. % 0.77/0.94 exact (zenon_Hd4 zenon_Hd5). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H100 | zenon_intro zenon_H102 ]. % 0.77/0.94 exact (zenon_Hff zenon_H100). % 0.77/0.94 exact (zenon_H101 zenon_H102). % 0.77/0.94 (* end of lemma zenon_L72_ *) % 0.77/0.94 assert (zenon_L73_ : (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (~(c1_1 (a313))) -> (~(c3_1 (a313))) -> (c0_1 (a313)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H105 zenon_H12 zenon_H106 zenon_H107 zenon_H108. % 0.77/0.94 generalize (zenon_H105 (a313)). zenon_intro zenon_H109. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H109); [ zenon_intro zenon_H11 | zenon_intro zenon_H10a ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H10c | zenon_intro zenon_H10b ]. % 0.77/0.94 exact (zenon_H106 zenon_H10c). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_H10e | zenon_intro zenon_H10d ]. % 0.77/0.94 exact (zenon_H107 zenon_H10e). % 0.77/0.94 exact (zenon_H10d zenon_H108). % 0.77/0.94 (* end of lemma zenon_L73_ *) % 0.77/0.94 assert (zenon_L74_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(c1_1 (a313))) -> (~(c3_1 (a313))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H10f zenon_H12 zenon_H105 zenon_H106 zenon_H107. % 0.77/0.94 generalize (zenon_H10f (a313)). zenon_intro zenon_H110. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H110); [ zenon_intro zenon_H11 | zenon_intro zenon_H111 ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_H108 | zenon_intro zenon_H112 ]. % 0.77/0.94 apply (zenon_L73_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H10c | zenon_intro zenon_H10e ]. % 0.77/0.94 exact (zenon_H106 zenon_H10c). % 0.77/0.94 exact (zenon_H107 zenon_H10e). % 0.77/0.94 (* end of lemma zenon_L74_ *) % 0.77/0.94 assert (zenon_L75_ : ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c3_1 (a313))) -> (~(c1_1 (a313))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (~(hskp27)) -> (~(hskp19)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H113 zenon_H107 zenon_H106 zenon_H12 zenon_H10f zenon_H7a zenon_Had. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H105 | zenon_intro zenon_H114 ]. % 0.77/0.94 apply (zenon_L74_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H7b | zenon_intro zenon_Hae ]. % 0.77/0.94 exact (zenon_H7a zenon_H7b). % 0.77/0.94 exact (zenon_Had zenon_Hae). % 0.77/0.94 (* end of lemma zenon_L75_ *) % 0.77/0.94 assert (zenon_L76_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3))))) -> (ndr1_0) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H115 zenon_H12 zenon_H116 zenon_H117 zenon_H118. % 0.77/0.94 generalize (zenon_H115 (a275)). zenon_intro zenon_H119. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H119); [ zenon_intro zenon_H11 | zenon_intro zenon_H11a ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 0.77/0.94 exact (zenon_H116 zenon_H11c). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H11e | zenon_intro zenon_H11d ]. % 0.77/0.94 exact (zenon_H117 zenon_H11e). % 0.77/0.94 exact (zenon_H118 zenon_H11d). % 0.77/0.94 (* end of lemma zenon_L76_ *) % 0.77/0.94 assert (zenon_L77_ : (~(hskp2)) -> (hskp2) -> False). % 0.77/0.94 do 0 intro. intros zenon_H11f zenon_H120. % 0.77/0.94 exact (zenon_H11f zenon_H120). % 0.77/0.94 (* end of lemma zenon_L77_ *) % 0.77/0.94 assert (zenon_L78_ : ((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H121 zenon_He5 zenon_Hb2 zenon_Haf zenon_H113 zenon_Had zenon_H116 zenon_H117 zenon_H118 zenon_H11f zenon_H122. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H123. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H106. zenon_intro zenon_H124. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H125. zenon_intro zenon_H107. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H10f | zenon_intro zenon_H126 ]. % 0.77/0.94 apply (zenon_L75_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H115 | zenon_intro zenon_H120 ]. % 0.77/0.94 apply (zenon_L76_); trivial. % 0.77/0.94 exact (zenon_H11f zenon_H120). % 0.77/0.94 apply (zenon_L49_); trivial. % 0.77/0.94 (* end of lemma zenon_L78_ *) % 0.77/0.94 assert (zenon_L79_ : (~(hskp28)) -> (hskp28) -> False). % 0.77/0.94 do 0 intro. intros zenon_H127 zenon_H128. % 0.77/0.94 exact (zenon_H127 zenon_H128). % 0.77/0.94 (* end of lemma zenon_L79_ *) % 0.77/0.94 assert (zenon_L80_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (c2_1 (a284)) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_H28 zenon_H27 zenon_H26 zenon_H12 zenon_H127. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H115 | zenon_intro zenon_H12a ]. % 0.77/0.94 apply (zenon_L76_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H25 | zenon_intro zenon_H128 ]. % 0.77/0.94 apply (zenon_L14_); trivial. % 0.77/0.94 exact (zenon_H127 zenon_H128). % 0.77/0.94 (* end of lemma zenon_L80_ *) % 0.77/0.94 assert (zenon_L81_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (c0_1 (a278)) -> (c3_1 (a278)) -> (c1_1 (a278)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H9b zenon_H12 zenon_H72 zenon_H12b zenon_H12c zenon_H12d. % 0.77/0.94 generalize (zenon_H9b (a278)). zenon_intro zenon_H12e. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H12e); [ zenon_intro zenon_H11 | zenon_intro zenon_H12f ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H131 | zenon_intro zenon_H130 ]. % 0.77/0.94 generalize (zenon_H72 (a278)). zenon_intro zenon_H132. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H132); [ zenon_intro zenon_H11 | zenon_intro zenon_H133 ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H135 | zenon_intro zenon_H134 ]. % 0.77/0.94 exact (zenon_H135 zenon_H12b). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H137 | zenon_intro zenon_H136 ]. % 0.77/0.94 exact (zenon_H137 zenon_H131). % 0.77/0.94 exact (zenon_H136 zenon_H12c). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H135 | zenon_intro zenon_H138 ]. % 0.77/0.94 exact (zenon_H135 zenon_H12b). % 0.77/0.94 exact (zenon_H138 zenon_H12d). % 0.77/0.94 (* end of lemma zenon_L81_ *) % 0.77/0.94 assert (zenon_L82_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (c1_1 (a278)) -> (c3_1 (a278)) -> (c0_1 (a278)) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (~(hskp27)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_H12d zenon_H12c zenon_H12b zenon_H12 zenon_H9b zenon_H7a. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H32 | zenon_intro zenon_H7d ]. % 0.77/0.94 apply (zenon_L17_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H72 | zenon_intro zenon_H7b ]. % 0.77/0.94 apply (zenon_L81_); trivial. % 0.77/0.94 exact (zenon_H7a zenon_H7b). % 0.77/0.94 (* end of lemma zenon_L82_ *) % 0.77/0.94 assert (zenon_L83_ : ((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (~(hskp27)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H139 zenon_Ha1 zenon_H45 zenon_H46 zenon_H44 zenon_H81 zenon_H80 zenon_H7f zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_H7a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.94 apply (zenon_L38_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.94 apply (zenon_L39_); trivial. % 0.77/0.94 apply (zenon_L82_); trivial. % 0.77/0.94 (* end of lemma zenon_L83_ *) % 0.77/0.94 assert (zenon_L84_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp27)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (ndr1_0) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> (~(c0_1 (a284))) -> (~(c3_1 (a284))) -> (c2_1 (a284)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H13c zenon_Ha1 zenon_H81 zenon_H80 zenon_H7f zenon_H33 zenon_H34 zenon_H35 zenon_H45 zenon_H46 zenon_H44 zenon_H7a zenon_H7c zenon_H12 zenon_H116 zenon_H117 zenon_H118 zenon_H26 zenon_H27 zenon_H28 zenon_H129. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/0.94 apply (zenon_L80_); trivial. % 0.77/0.94 apply (zenon_L83_); trivial. % 0.77/0.94 (* end of lemma zenon_L84_ *) % 0.77/0.94 assert (zenon_L85_ : ((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hb1 zenon_Ha1 zenon_H44 zenon_H45 zenon_H46 zenon_Hd9 zenon_Hda zenon_Hdb zenon_He2 zenon_H81 zenon_H80 zenon_H7f zenon_Hee zenon_Hef zenon_Hf0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.94 apply (zenon_L61_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.94 apply (zenon_L39_); trivial. % 0.77/0.94 apply (zenon_L66_); trivial. % 0.77/0.94 (* end of lemma zenon_L85_ *) % 0.77/0.94 assert (zenon_L86_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> (c1_1 (a293)) -> (c0_1 (a293)) -> (~(c2_1 (a293))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (c2_1 (a284)) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a286)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_He4 zenon_He5 zenon_Hf0 zenon_Hef zenon_Hee zenon_He2 zenon_H129 zenon_H28 zenon_H27 zenon_H26 zenon_H118 zenon_H117 zenon_H116 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H35 zenon_H34 zenon_H33 zenon_H7f zenon_H80 zenon_H81 zenon_Ha1 zenon_H13c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.94 apply (zenon_L84_); trivial. % 0.77/0.94 apply (zenon_L85_); trivial. % 0.77/0.94 (* end of lemma zenon_L86_ *) % 0.77/0.94 assert (zenon_L87_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp21)) -> (~(c3_1 (a303))) -> (c1_1 (a303)) -> (c2_1 (a303)) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (ndr1_0) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Ha1 zenon_Hd4 zenon_Hcb zenon_Hcc zenon_Hcd zenon_H44 zenon_H45 zenon_H46 zenon_Hd6 zenon_H81 zenon_H80 zenon_H7f zenon_H12 zenon_Hee zenon_Hef zenon_Hf0. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.94 apply (zenon_L58_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.94 apply (zenon_L39_); trivial. % 0.77/0.94 apply (zenon_L66_); trivial. % 0.77/0.94 (* end of lemma zenon_L87_ *) % 0.77/0.94 assert (zenon_L88_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (c2_1 (a284)) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a286)) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_He8 zenon_He9 zenon_He5 zenon_He2 zenon_H129 zenon_H28 zenon_H27 zenon_H26 zenon_H118 zenon_H117 zenon_H116 zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_H13c zenon_Hd6 zenon_H46 zenon_H45 zenon_H44 zenon_H7f zenon_H80 zenon_H81 zenon_Hee zenon_Hef zenon_Hf0 zenon_Ha1. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.94 apply (zenon_L87_); trivial. % 0.77/0.94 apply (zenon_L86_); trivial. % 0.77/0.94 (* end of lemma zenon_L88_ *) % 0.77/0.94 assert (zenon_L89_ : ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp23)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H13d zenon_H93 zenon_H92 zenon_Hc1 zenon_H12 zenon_H127 zenon_H101. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Hc0 | zenon_intro zenon_H13e ]. % 0.77/0.94 apply (zenon_L51_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H128 | zenon_intro zenon_H102 ]. % 0.77/0.94 exact (zenon_H127 zenon_H128). % 0.77/0.94 exact (zenon_H101 zenon_H102). % 0.77/0.94 (* end of lemma zenon_L89_ *) % 0.77/0.94 assert (zenon_L90_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a281))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (c3_1 (a281)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H7e zenon_H12 zenon_H13f zenon_H89 zenon_H140. % 0.77/0.94 generalize (zenon_H7e (a281)). zenon_intro zenon_H141. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H141); [ zenon_intro zenon_H11 | zenon_intro zenon_H142 ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 0.77/0.94 exact (zenon_H13f zenon_H144). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H146 | zenon_intro zenon_H145 ]. % 0.77/0.94 generalize (zenon_H89 (a281)). zenon_intro zenon_H147. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H147); [ zenon_intro zenon_H11 | zenon_intro zenon_H148 ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H144 | zenon_intro zenon_H149 ]. % 0.77/0.94 exact (zenon_H13f zenon_H144). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H14a | zenon_intro zenon_H145 ]. % 0.77/0.94 exact (zenon_H146 zenon_H14a). % 0.77/0.94 exact (zenon_H145 zenon_H140). % 0.77/0.94 exact (zenon_H145 zenon_H140). % 0.77/0.94 (* end of lemma zenon_L90_ *) % 0.77/0.94 assert (zenon_L91_ : ((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp1)) -> (~(c0_1 (a281))) -> (c3_1 (a281)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (~(hskp27)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H139 zenon_Ha1 zenon_H45 zenon_H46 zenon_H44 zenon_Hb zenon_H13f zenon_H140 zenon_H14b zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_H7a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.94 apply (zenon_L38_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H89 | zenon_intro zenon_H14c ]. % 0.77/0.94 apply (zenon_L90_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H7b | zenon_intro zenon_Hc ]. % 0.77/0.94 exact (zenon_H7a zenon_H7b). % 0.77/0.94 exact (zenon_Hb zenon_Hc). % 0.77/0.94 apply (zenon_L82_); trivial. % 0.77/0.94 (* end of lemma zenon_L91_ *) % 0.77/0.94 assert (zenon_L92_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c0_1 (a281))) -> (c3_1 (a281)) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp27)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> (~(hskp23)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H13c zenon_Ha1 zenon_H13f zenon_H140 zenon_Hb zenon_H14b zenon_H33 zenon_H34 zenon_H35 zenon_H45 zenon_H46 zenon_H44 zenon_H7a zenon_H7c zenon_H12 zenon_Hc1 zenon_H92 zenon_H93 zenon_H101 zenon_H13d. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/0.94 apply (zenon_L89_); trivial. % 0.77/0.94 apply (zenon_L91_); trivial. % 0.77/0.94 (* end of lemma zenon_L92_ *) % 0.77/0.94 assert (zenon_L93_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (ndr1_0) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a281)) -> (~(c0_1 (a281))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_He5 zenon_Hb2 zenon_Haf zenon_Had zenon_H13d zenon_H101 zenon_H93 zenon_H92 zenon_Hc1 zenon_H12 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H35 zenon_H34 zenon_H33 zenon_H14b zenon_Hb zenon_H140 zenon_H13f zenon_Ha1 zenon_H13c. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.94 apply (zenon_L92_); trivial. % 0.77/0.94 apply (zenon_L49_); trivial. % 0.77/0.94 (* end of lemma zenon_L93_ *) % 0.77/0.94 assert (zenon_L94_ : ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (~(c0_1 (a305))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a280))) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hc5 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H46 zenon_H45 zenon_H71 zenon_H44 zenon_H12 zenon_Hc1 zenon_H92 zenon_H93. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hc6 ]. % 0.77/0.94 apply (zenon_L50_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc0 ]. % 0.77/0.94 apply (zenon_L55_); trivial. % 0.77/0.94 apply (zenon_L51_); trivial. % 0.77/0.94 (* end of lemma zenon_L94_ *) % 0.77/0.94 assert (zenon_L95_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hc7 zenon_Ha1 zenon_H93 zenon_H92 zenon_Hc1 zenon_H44 zenon_H45 zenon_H46 zenon_Hc5 zenon_H81 zenon_H80 zenon_H7f zenon_Hee zenon_Hef zenon_Hf0. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.94 apply (zenon_L94_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.94 apply (zenon_L39_); trivial. % 0.77/0.94 apply (zenon_L66_); trivial. % 0.77/0.94 (* end of lemma zenon_L95_ *) % 0.77/0.94 assert (zenon_L96_ : ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a275)))/\((~(c2_1 (a275)))/\(~(c3_1 (a275))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (~(hskp6)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c3_1 (a274))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H14d zenon_H14e zenon_H14b zenon_H13d zenon_H14f zenon_H113 zenon_H11f zenon_H122 zenon_H103 zenon_H13c zenon_H129 zenon_H6a zenon_H42 zenon_H3e zenon_H31 zenon_Hf zenon_Hb zenon_H1d zenon_H20 zenon_H24 zenon_H6f zenon_H6b zenon_Hec zenon_He9 zenon_He2 zenon_Hd6 zenon_He5 zenon_Hb2 zenon_H7c zenon_H9f zenon_H93 zenon_H92 zenon_H90 zenon_Ha1 zenon_H51 zenon_H4f zenon_Hc5 zenon_Hc1 zenon_H66 zenon_Hed zenon_Hfa zenon_Hfe zenon_H150 zenon_H151. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.94 apply (zenon_L32_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.94 apply (zenon_L13_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.77/0.94 apply (zenon_L35_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.94 apply (zenon_L16_); trivial. % 0.77/0.94 apply (zenon_L69_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.94 apply (zenon_L32_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.94 apply (zenon_L13_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.77/0.94 apply (zenon_L35_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.94 apply (zenon_L16_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.94 apply (zenon_L65_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.77/0.94 apply (zenon_L72_); trivial. % 0.77/0.94 apply (zenon_L78_); trivial. % 0.77/0.94 apply (zenon_L86_); trivial. % 0.77/0.94 apply (zenon_L54_); trivial. % 0.77/0.94 apply (zenon_L88_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.94 apply (zenon_L13_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.77/0.94 apply (zenon_L35_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.94 apply (zenon_L16_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.94 apply (zenon_L65_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.77/0.94 apply (zenon_L93_); trivial. % 0.77/0.94 apply (zenon_L78_); trivial. % 0.77/0.94 apply (zenon_L95_); trivial. % 0.77/0.94 apply (zenon_L88_); trivial. % 0.77/0.94 (* end of lemma zenon_L96_ *) % 0.77/0.94 assert (zenon_L97_ : ((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H153 zenon_H66 zenon_H62 zenon_H5f zenon_H5d zenon_H4f zenon_H51. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.94 apply (zenon_L30_); trivial. % 0.77/0.94 (* end of lemma zenon_L97_ *) % 0.77/0.94 assert (zenon_L98_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H151 zenon_H66 zenon_H62 zenon_H5f zenon_H5d zenon_H4f zenon_H51 zenon_H24 zenon_H20 zenon_H1d zenon_Hb zenon_Hf zenon_H31 zenon_H3e zenon_H42 zenon_H6a. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.94 apply (zenon_L32_); trivial. % 0.77/0.94 apply (zenon_L97_); trivial. % 0.77/0.94 (* end of lemma zenon_L98_ *) % 0.77/0.94 assert (zenon_L99_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (ndr1_0) -> (~(c2_1 (a298))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H9b zenon_H12 zenon_H15f zenon_H7e zenon_H160 zenon_H161. % 0.77/0.94 generalize (zenon_H9b (a298)). zenon_intro zenon_H162. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H162); [ zenon_intro zenon_H11 | zenon_intro zenon_H163 ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ]. % 0.77/0.94 exact (zenon_H15f zenon_H165). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H167 | zenon_intro zenon_H166 ]. % 0.77/0.94 generalize (zenon_H7e (a298)). zenon_intro zenon_H168. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H168); [ zenon_intro zenon_H11 | zenon_intro zenon_H169 ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H16b | zenon_intro zenon_H16a ]. % 0.77/0.94 exact (zenon_H167 zenon_H16b). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H166 | zenon_intro zenon_H16c ]. % 0.77/0.94 exact (zenon_H166 zenon_H160). % 0.77/0.94 exact (zenon_H16c zenon_H161). % 0.77/0.94 exact (zenon_H166 zenon_H160). % 0.77/0.94 (* end of lemma zenon_L99_ *) % 0.77/0.94 assert (zenon_L100_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (c3_1 (a280)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (~(c1_1 (a280))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H90 zenon_H161 zenon_H160 zenon_H15f zenon_H9b zenon_H46 zenon_H89 zenon_H44 zenon_H12 zenon_H1. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.77/0.94 apply (zenon_L99_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.77/0.94 apply (zenon_L40_); trivial. % 0.77/0.94 exact (zenon_H1 zenon_H2). % 0.77/0.94 (* end of lemma zenon_L100_ *) % 0.77/0.94 assert (zenon_L101_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8))) -> (~(hskp16)) -> (ndr1_0) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp7)) -> (~(hskp8)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H16d zenon_H1 zenon_H12 zenon_H44 zenon_H46 zenon_H9b zenon_H15f zenon_H160 zenon_H161 zenon_H90 zenon_H3 zenon_Hf7. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H89 | zenon_intro zenon_H16e ]. % 0.77/0.94 apply (zenon_L100_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H4 | zenon_intro zenon_Hf8 ]. % 0.77/0.94 exact (zenon_H3 zenon_H4). % 0.77/0.94 exact (zenon_Hf7 zenon_Hf8). % 0.77/0.94 (* end of lemma zenon_L101_ *) % 0.77/0.94 assert (zenon_L102_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H151 zenon_Hfe zenon_H7 zenon_H3 zenon_H16d zenon_Hf7 zenon_H90 zenon_Hfa zenon_H16f zenon_H24 zenon_H20 zenon_H1d zenon_Hb zenon_Hf zenon_H31 zenon_H3e zenon_H42 zenon_H6a. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.94 apply (zenon_L32_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.94 apply (zenon_L4_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H43 | zenon_intro zenon_Hfd ]. % 0.77/0.94 apply (zenon_L22_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9b | zenon_intro zenon_Hf8 ]. % 0.77/0.94 apply (zenon_L101_); trivial. % 0.77/0.94 exact (zenon_Hf7 zenon_Hf8). % 0.77/0.94 apply (zenon_L68_); trivial. % 0.77/0.94 (* end of lemma zenon_L102_ *) % 0.77/0.94 assert (zenon_L103_ : (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (c0_1 (a278)) -> (c1_1 (a278)) -> (c3_1 (a278)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H173 zenon_H12 zenon_H12b zenon_H12d zenon_H12c. % 0.77/0.94 generalize (zenon_H173 (a278)). zenon_intro zenon_H174. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H174); [ zenon_intro zenon_H11 | zenon_intro zenon_H175 ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H135 | zenon_intro zenon_H176 ]. % 0.77/0.94 exact (zenon_H135 zenon_H12b). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H138 | zenon_intro zenon_H136 ]. % 0.77/0.94 exact (zenon_H138 zenon_H12d). % 0.77/0.94 exact (zenon_H136 zenon_H12c). % 0.77/0.94 (* end of lemma zenon_L103_ *) % 0.77/0.94 assert (zenon_L104_ : ((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> (~(hskp19)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H139 zenon_H177 zenon_H3 zenon_Had. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H173 | zenon_intro zenon_H178 ]. % 0.77/0.94 apply (zenon_L103_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H4 | zenon_intro zenon_Hae ]. % 0.77/0.94 exact (zenon_H3 zenon_H4). % 0.77/0.94 exact (zenon_Had zenon_Hae). % 0.77/0.94 (* end of lemma zenon_L104_ *) % 0.77/0.94 assert (zenon_L105_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp19)) -> (~(hskp7)) -> (ndr1_0) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> (~(c0_1 (a284))) -> (~(c3_1 (a284))) -> (c2_1 (a284)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H13c zenon_H177 zenon_Had zenon_H3 zenon_H12 zenon_H116 zenon_H117 zenon_H118 zenon_H26 zenon_H27 zenon_H28 zenon_H129. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/0.94 apply (zenon_L80_); trivial. % 0.77/0.94 apply (zenon_L104_); trivial. % 0.77/0.94 (* end of lemma zenon_L105_ *) % 0.77/0.94 assert (zenon_L106_ : (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H105 zenon_H12 zenon_H179 zenon_H17a zenon_H17b. % 0.77/0.94 generalize (zenon_H105 (a272)). zenon_intro zenon_H17c. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H17c); [ zenon_intro zenon_H11 | zenon_intro zenon_H17d ]. % 0.77/0.94 exact (zenon_H11 zenon_H12). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H17f | zenon_intro zenon_H17e ]. % 0.77/0.94 exact (zenon_H179 zenon_H17f). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H181 | zenon_intro zenon_H180 ]. % 0.77/0.94 exact (zenon_H17a zenon_H181). % 0.77/0.94 exact (zenon_H180 zenon_H17b). % 0.77/0.94 (* end of lemma zenon_L106_ *) % 0.77/0.94 assert (zenon_L107_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp21)) -> (~(c3_1 (a303))) -> (c1_1 (a303)) -> (c2_1 (a303)) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> (~(hskp4)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H182 zenon_Hd4 zenon_Hcb zenon_Hcc zenon_Hcd zenon_H44 zenon_H45 zenon_H46 zenon_Hd6 zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_H5f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H71 | zenon_intro zenon_H183 ]. % 0.77/0.94 apply (zenon_L58_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H105 | zenon_intro zenon_H60 ]. % 0.77/0.94 apply (zenon_L106_); trivial. % 0.77/0.94 exact (zenon_H5f zenon_H60). % 0.77/0.94 (* end of lemma zenon_L107_ *) % 0.77/0.94 assert (zenon_L108_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp27)) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> (~(hskp4)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H182 zenon_H7a zenon_H45 zenon_H46 zenon_H44 zenon_H33 zenon_H34 zenon_H35 zenon_H7c zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_H5f. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H71 | zenon_intro zenon_H183 ]. % 0.77/0.94 apply (zenon_L38_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H105 | zenon_intro zenon_H60 ]. % 0.77/0.94 apply (zenon_L106_); trivial. % 0.77/0.94 exact (zenon_H5f zenon_H60). % 0.77/0.94 (* end of lemma zenon_L108_ *) % 0.77/0.94 assert (zenon_L109_ : ((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (~(hskp4)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hb1 zenon_H182 zenon_H44 zenon_H45 zenon_H46 zenon_Hd9 zenon_Hda zenon_Hdb zenon_He2 zenon_H17b zenon_H17a zenon_H179 zenon_H5f. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H71 | zenon_intro zenon_H183 ]. % 0.77/0.94 apply (zenon_L61_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H105 | zenon_intro zenon_H60 ]. % 0.77/0.94 apply (zenon_L106_); trivial. % 0.77/0.94 exact (zenon_H5f zenon_H60). % 0.77/0.94 (* end of lemma zenon_L109_ *) % 0.77/0.94 assert (zenon_L110_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> False). % 0.77/0.94 do 0 intro. intros zenon_He4 zenon_He5 zenon_He2 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H35 zenon_H34 zenon_H33 zenon_H179 zenon_H17a zenon_H17b zenon_H5f zenon_H182. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.94 apply (zenon_L108_); trivial. % 0.77/0.94 apply (zenon_L109_); trivial. % 0.77/0.94 (* end of lemma zenon_L110_ *) % 0.77/0.94 assert (zenon_L111_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> False). % 0.77/0.94 do 0 intro. intros zenon_He8 zenon_He9 zenon_He5 zenon_He2 zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_Hd6 zenon_H46 zenon_H45 zenon_H44 zenon_H179 zenon_H17a zenon_H17b zenon_H5f zenon_H182. % 0.77/0.94 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.94 apply (zenon_L107_); trivial. % 0.77/0.94 apply (zenon_L110_); trivial. % 0.77/0.94 (* end of lemma zenon_L111_ *) % 0.77/0.94 assert (zenon_L112_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H67 zenon_H42 zenon_Hec zenon_He9 zenon_He5 zenon_He2 zenon_H7c zenon_Hd6 zenon_H46 zenon_H45 zenon_H44 zenon_H179 zenon_H17a zenon_H17b zenon_H5f zenon_H182 zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_H3 zenon_H177 zenon_H13c zenon_H31. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.94 apply (zenon_L16_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/0.94 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.94 apply (zenon_L105_); trivial. % 0.77/0.94 apply (zenon_L111_); trivial. % 0.77/0.94 (* end of lemma zenon_L112_ *) % 0.77/0.94 assert (zenon_L113_ : ((ndr1_0)/\((~(c0_1 (a275)))/\((~(c2_1 (a275)))/\(~(c3_1 (a275)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H152 zenon_H151 zenon_Hec zenon_He9 zenon_He5 zenon_He2 zenon_H7c zenon_Hd6 zenon_H179 zenon_H17a zenon_H17b zenon_H5f zenon_H182 zenon_H129 zenon_H3 zenon_H177 zenon_H13c zenon_H24 zenon_H20 zenon_H1d zenon_Hb zenon_Hf zenon_H31 zenon_H3e zenon_H42 zenon_H6a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.94 apply (zenon_L32_); trivial. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.94 apply (zenon_L13_); trivial. % 0.77/0.94 apply (zenon_L112_); trivial. % 0.77/0.94 (* end of lemma zenon_L113_ *) % 0.77/0.94 assert (zenon_L114_ : ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp19)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_H7a zenon_Had. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H105 | zenon_intro zenon_H114 ]. % 0.77/0.94 apply (zenon_L106_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H7b | zenon_intro zenon_Hae ]. % 0.77/0.94 exact (zenon_H7a zenon_H7b). % 0.77/0.94 exact (zenon_Had zenon_Hae). % 0.77/0.94 (* end of lemma zenon_L114_ *) % 0.77/0.94 assert (zenon_L115_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> (~(hskp19)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> False). % 0.77/0.94 do 0 intro. intros zenon_He5 zenon_Hb2 zenon_Haf zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_Had zenon_H113. % 0.77/0.94 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.94 apply (zenon_L114_); trivial. % 0.77/0.94 apply (zenon_L49_); trivial. % 0.77/0.94 (* end of lemma zenon_L115_ *) % 0.77/0.94 assert (zenon_L116_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (~(hskp4)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hc7 zenon_H182 zenon_H93 zenon_H92 zenon_Hc1 zenon_H44 zenon_H45 zenon_H46 zenon_Hc5 zenon_H17b zenon_H17a zenon_H179 zenon_H5f. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/0.94 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H71 | zenon_intro zenon_H183 ]. % 0.77/0.94 apply (zenon_L94_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H105 | zenon_intro zenon_H60 ]. % 0.77/0.94 apply (zenon_L106_); trivial. % 0.77/0.94 exact (zenon_H5f zenon_H60). % 0.77/0.94 (* end of lemma zenon_L116_ *) % 0.77/0.94 assert (zenon_L117_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hed zenon_H182 zenon_H5f zenon_H44 zenon_H45 zenon_H46 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H113 zenon_Had zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hb2 zenon_He5. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.95 apply (zenon_L115_); trivial. % 0.77/0.95 apply (zenon_L116_); trivial. % 0.77/0.95 (* end of lemma zenon_L117_ *) % 0.77/0.95 assert (zenon_L118_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H3f zenon_Hec zenon_He9 zenon_He2 zenon_H7c zenon_Hd6 zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H45 zenon_H44 zenon_H5f zenon_H182 zenon_Hed. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.95 apply (zenon_L117_); trivial. % 0.77/0.95 apply (zenon_L111_); trivial. % 0.77/0.95 (* end of lemma zenon_L118_ *) % 0.77/0.95 assert (zenon_L119_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H67 zenon_H42 zenon_Hec zenon_He9 zenon_He2 zenon_H7c zenon_Hd6 zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H45 zenon_H44 zenon_H5f zenon_H182 zenon_Hed zenon_H31. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.95 apply (zenon_L16_); trivial. % 0.77/0.95 apply (zenon_L118_); trivial. % 0.77/0.95 (* end of lemma zenon_L119_ *) % 0.77/0.95 assert (zenon_L120_ : ((ndr1_0)/\((c0_1 (a274))/\((c1_1 (a274))/\(~(c3_1 (a274)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H184 zenon_H151 zenon_Hec zenon_He9 zenon_He2 zenon_H7c zenon_Hd6 zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H5f zenon_H182 zenon_Hed zenon_H24 zenon_H20 zenon_H1d zenon_Hb zenon_Hf zenon_H31 zenon_H3e zenon_H42 zenon_H6a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.95 apply (zenon_L32_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.95 apply (zenon_L13_); trivial. % 0.77/0.95 apply (zenon_L119_); trivial. % 0.77/0.95 (* end of lemma zenon_L120_ *) % 0.77/0.95 assert (zenon_L121_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2))))) -> (ndr1_0) -> (~(c0_1 (a271))) -> (~(c1_1 (a271))) -> (~(c3_1 (a271))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H10f zenon_H12 zenon_H187 zenon_H188 zenon_H189. % 0.77/0.95 generalize (zenon_H10f (a271)). zenon_intro zenon_H18a. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H18a); [ zenon_intro zenon_H11 | zenon_intro zenon_H18b ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H18d | zenon_intro zenon_H18c ]. % 0.77/0.95 exact (zenon_H187 zenon_H18d). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H18f | zenon_intro zenon_H18e ]. % 0.77/0.95 exact (zenon_H188 zenon_H18f). % 0.77/0.95 exact (zenon_H189 zenon_H18e). % 0.77/0.95 (* end of lemma zenon_L121_ *) % 0.77/0.95 assert (zenon_L122_ : ((ndr1_0)/\((~(c0_1 (a275)))/\((~(c2_1 (a275)))/\(~(c3_1 (a275)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(c3_1 (a271))) -> (~(c1_1 (a271))) -> (~(c0_1 (a271))) -> (~(hskp2)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H152 zenon_H122 zenon_H189 zenon_H188 zenon_H187 zenon_H11f. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H10f | zenon_intro zenon_H126 ]. % 0.77/0.95 apply (zenon_L121_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H115 | zenon_intro zenon_H120 ]. % 0.77/0.95 apply (zenon_L76_); trivial. % 0.77/0.95 exact (zenon_H11f zenon_H120). % 0.77/0.95 (* end of lemma zenon_L122_ *) % 0.77/0.95 assert (zenon_L123_ : ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a275)))/\((~(c2_1 (a275)))/\(~(c3_1 (a275))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a271))) -> (~(c1_1 (a271))) -> (~(c0_1 (a271))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8))) -> (~(hskp7)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H14d zenon_H122 zenon_H11f zenon_H189 zenon_H188 zenon_H187 zenon_H6a zenon_H42 zenon_H3e zenon_H31 zenon_Hf zenon_Hb zenon_H1d zenon_H20 zenon_H24 zenon_H16f zenon_Hfa zenon_H90 zenon_H16d zenon_H3 zenon_H7 zenon_Hfe zenon_H151. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.77/0.95 apply (zenon_L102_); trivial. % 0.77/0.95 apply (zenon_L122_); trivial. % 0.77/0.95 (* end of lemma zenon_L123_ *) % 0.77/0.95 assert (zenon_L124_ : ((ndr1_0)/\((c0_1 (a274))/\((c1_1 (a274))/\(~(c3_1 (a274)))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a275)))/\((~(c2_1 (a275)))/\(~(c3_1 (a275))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (~(hskp6)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H184 zenon_H14d zenon_H14e zenon_H14b zenon_H13d zenon_H14f zenon_H113 zenon_H11f zenon_H122 zenon_H103 zenon_H13c zenon_H129 zenon_H6a zenon_H42 zenon_H3e zenon_H31 zenon_Hf zenon_Hb zenon_H1d zenon_H20 zenon_H24 zenon_H6f zenon_H6b zenon_Hec zenon_He9 zenon_He2 zenon_Hd6 zenon_He5 zenon_Hb2 zenon_H7c zenon_H9f zenon_H90 zenon_Ha1 zenon_H51 zenon_H4f zenon_Hc5 zenon_H66 zenon_Hed zenon_Hfa zenon_Hfe zenon_H150 zenon_H151. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.77/0.95 apply (zenon_L96_); trivial. % 0.77/0.95 (* end of lemma zenon_L124_ *) % 0.77/0.95 assert (zenon_L125_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3))))) -> (ndr1_0) -> (~(c0_1 (a271))) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18)))))) -> (~(c3_1 (a271))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H115 zenon_H12 zenon_H187 zenon_H25 zenon_H189. % 0.77/0.95 generalize (zenon_H115 (a271)). zenon_intro zenon_H190. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H190); [ zenon_intro zenon_H11 | zenon_intro zenon_H191 ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H18d | zenon_intro zenon_H192 ]. % 0.77/0.95 exact (zenon_H187 zenon_H18d). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H193 | zenon_intro zenon_H18e ]. % 0.77/0.95 generalize (zenon_H25 (a271)). zenon_intro zenon_H194. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H194); [ zenon_intro zenon_H11 | zenon_intro zenon_H195 ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H18d | zenon_intro zenon_H196 ]. % 0.77/0.95 exact (zenon_H187 zenon_H18d). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H18e | zenon_intro zenon_H197 ]. % 0.77/0.95 exact (zenon_H189 zenon_H18e). % 0.77/0.95 exact (zenon_H197 zenon_H193). % 0.77/0.95 exact (zenon_H189 zenon_H18e). % 0.77/0.95 (* end of lemma zenon_L125_ *) % 0.77/0.95 assert (zenon_L126_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(c1_1 (a271))) -> (ndr1_0) -> (~(c0_1 (a271))) -> (~(c3_1 (a271))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp2)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H122 zenon_H188 zenon_H12 zenon_H187 zenon_H189 zenon_H2f zenon_H31 zenon_H11f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H10f | zenon_intro zenon_H126 ]. % 0.77/0.95 apply (zenon_L121_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H115 | zenon_intro zenon_H120 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H25 | zenon_intro zenon_H30 ]. % 0.77/0.95 apply (zenon_L125_); trivial. % 0.77/0.95 exact (zenon_H2f zenon_H30). % 0.77/0.95 exact (zenon_H11f zenon_H120). % 0.77/0.95 (* end of lemma zenon_L126_ *) % 0.77/0.95 assert (zenon_L127_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> (ndr1_0) -> (~(c0_1 (a271))) -> (~(c1_1 (a271))) -> (~(c3_1 (a271))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H42 zenon_H3e zenon_H3c zenon_H12 zenon_H187 zenon_H188 zenon_H189 zenon_H31 zenon_H11f zenon_H122. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.95 apply (zenon_L126_); trivial. % 0.77/0.95 apply (zenon_L20_); trivial. % 0.77/0.95 (* end of lemma zenon_L127_ *) % 0.77/0.95 assert (zenon_L128_ : (~(hskp22)) -> (hskp22) -> False). % 0.77/0.95 do 0 intro. intros zenon_H198 zenon_H199. % 0.77/0.95 exact (zenon_H198 zenon_H199). % 0.77/0.95 (* end of lemma zenon_L128_ *) % 0.77/0.95 assert (zenon_L129_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp22)\/(hskp0))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp0)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H19a zenon_H46 zenon_H45 zenon_H44 zenon_H12 zenon_H198 zenon_H1d. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H43 | zenon_intro zenon_H19b ]. % 0.77/0.95 apply (zenon_L22_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H199 | zenon_intro zenon_H1e ]. % 0.77/0.95 exact (zenon_H198 zenon_H199). % 0.77/0.95 exact (zenon_H1d zenon_H1e). % 0.77/0.95 (* end of lemma zenon_L129_ *) % 0.77/0.95 assert (zenon_L130_ : (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36)))))) -> (ndr1_0) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H19c zenon_H12 zenon_H19d zenon_H19e zenon_H19f. % 0.77/0.95 generalize (zenon_H19c (a273)). zenon_intro zenon_H1a0. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1a0); [ zenon_intro zenon_H11 | zenon_intro zenon_H1a1 ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ]. % 0.77/0.95 exact (zenon_H19d zenon_H1a3). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1a4 ]. % 0.77/0.95 exact (zenon_H1a5 zenon_H19e). % 0.77/0.95 exact (zenon_H1a4 zenon_H19f). % 0.77/0.95 (* end of lemma zenon_L130_ *) % 0.77/0.95 assert (zenon_L131_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(c1_1 (a313))) -> (~(c3_1 (a313))) -> (~(c2_1 (a313))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H13 zenon_H12 zenon_H105 zenon_H106 zenon_H107 zenon_H125. % 0.77/0.95 generalize (zenon_H13 (a313)). zenon_intro zenon_H1a6. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1a6); [ zenon_intro zenon_H11 | zenon_intro zenon_H1a7 ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H108 | zenon_intro zenon_H1a8 ]. % 0.77/0.95 apply (zenon_L73_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H10c | zenon_intro zenon_H1a9 ]. % 0.77/0.95 exact (zenon_H106 zenon_H10c). % 0.77/0.95 exact (zenon_H125 zenon_H1a9). % 0.77/0.95 (* end of lemma zenon_L131_ *) % 0.77/0.95 assert (zenon_L132_ : (forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))) -> (ndr1_0) -> (~(c3_1 (a311))) -> (c0_1 (a311)) -> (c2_1 (a311)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1aa zenon_H12 zenon_H1ab zenon_H1ac zenon_H1ad. % 0.77/0.95 generalize (zenon_H1aa (a311)). zenon_intro zenon_H1ae. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1ae); [ zenon_intro zenon_H11 | zenon_intro zenon_H1af ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1b0 ]. % 0.77/0.95 exact (zenon_H1ab zenon_H1b1). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1b2 ]. % 0.77/0.95 exact (zenon_H1b3 zenon_H1ac). % 0.77/0.95 exact (zenon_H1b2 zenon_H1ad). % 0.77/0.95 (* end of lemma zenon_L132_ *) % 0.77/0.95 assert (zenon_L133_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (~(c2_1 (a313))) -> (~(c3_1 (a313))) -> (~(c1_1 (a313))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c3_1 (a311))) -> (c0_1 (a311)) -> (c2_1 (a311)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1b4 zenon_H19f zenon_H19e zenon_H19d zenon_H125 zenon_H107 zenon_H106 zenon_H13 zenon_H12 zenon_H1ab zenon_H1ac zenon_H1ad. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b5 ]. % 0.77/0.95 apply (zenon_L130_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H105 | zenon_intro zenon_H1aa ]. % 0.77/0.95 apply (zenon_L131_); trivial. % 0.77/0.95 apply (zenon_L132_); trivial. % 0.77/0.95 (* end of lemma zenon_L133_ *) % 0.77/0.95 assert (zenon_L134_ : ((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (c2_1 (a311)) -> (c0_1 (a311)) -> (~(c3_1 (a311))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp0)) -> (~(hskp1)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H121 zenon_H20 zenon_H1ad zenon_H1ac zenon_H1ab zenon_H19d zenon_H19e zenon_H19f zenon_H1b4 zenon_H1d zenon_Hb. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H123. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H106. zenon_intro zenon_H124. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H125. zenon_intro zenon_H107. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H13 | zenon_intro zenon_H23 ]. % 0.77/0.95 apply (zenon_L133_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H1e | zenon_intro zenon_Hc ]. % 0.77/0.95 exact (zenon_H1d zenon_H1e). % 0.77/0.95 exact (zenon_Hb zenon_Hc). % 0.77/0.95 (* end of lemma zenon_L134_ *) % 0.77/0.95 assert (zenon_L135_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp21)) -> (~(hskp10)) -> ((hskp21)\/((hskp10)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp22)\/(hskp0))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1b6 zenon_H14f zenon_H20 zenon_Hb zenon_H19d zenon_H19e zenon_H19f zenon_H1b4 zenon_Hd4 zenon_Hff zenon_H103 zenon_H12 zenon_H44 zenon_H45 zenon_H46 zenon_H1d zenon_H19a. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.95 apply (zenon_L129_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.77/0.95 apply (zenon_L72_); trivial. % 0.77/0.95 apply (zenon_L134_); trivial. % 0.77/0.95 (* end of lemma zenon_L135_ *) % 0.77/0.95 assert (zenon_L136_ : ((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp3)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hb1 zenon_H1ba zenon_H45 zenon_H44 zenon_H46 zenon_Hd9 zenon_Hda zenon_Hdb zenon_He2 zenon_H5d. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H71 | zenon_intro zenon_H1bb ]. % 0.77/0.95 apply (zenon_L61_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H89 | zenon_intro zenon_H5e ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_He3 ]. % 0.77/0.95 apply (zenon_L60_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H88 | zenon_intro zenon_Ha3 ]. % 0.77/0.95 apply (zenon_L40_); trivial. % 0.77/0.95 apply (zenon_L46_); trivial. % 0.77/0.95 exact (zenon_H5d zenon_H5e). % 0.77/0.95 (* end of lemma zenon_L136_ *) % 0.77/0.95 assert (zenon_L137_ : (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(c0_1 (a281))) -> (~(c2_1 (a281))) -> (c3_1 (a281)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1bc zenon_H12 zenon_H13f zenon_H15e zenon_H140. % 0.77/0.95 generalize (zenon_H1bc (a281)). zenon_intro zenon_H1bd. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1bd); [ zenon_intro zenon_H11 | zenon_intro zenon_H1be ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H144 | zenon_intro zenon_H1bf ]. % 0.77/0.95 exact (zenon_H13f zenon_H144). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H145 ]. % 0.77/0.95 exact (zenon_H15e zenon_H1c0). % 0.77/0.95 exact (zenon_H145 zenon_H140). % 0.77/0.95 (* end of lemma zenon_L137_ *) % 0.77/0.95 assert (zenon_L138_ : (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (~(c2_1 (a281))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a281))) -> (c3_1 (a281)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1c1 zenon_H12 zenon_H15e zenon_H13 zenon_H13f zenon_H140. % 0.77/0.95 generalize (zenon_H1c1 (a281)). zenon_intro zenon_H1c2. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1c2); [ zenon_intro zenon_H11 | zenon_intro zenon_H1c3 ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H143 ]. % 0.77/0.95 exact (zenon_H15e zenon_H1c0). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H146 | zenon_intro zenon_H145 ]. % 0.77/0.95 generalize (zenon_H13 (a281)). zenon_intro zenon_H1c4. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1c4); [ zenon_intro zenon_H11 | zenon_intro zenon_H1c5 ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H144 | zenon_intro zenon_H1c6 ]. % 0.77/0.95 exact (zenon_H13f zenon_H144). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H14a | zenon_intro zenon_H1c0 ]. % 0.77/0.95 exact (zenon_H146 zenon_H14a). % 0.77/0.95 exact (zenon_H15e zenon_H1c0). % 0.77/0.95 exact (zenon_H145 zenon_H140). % 0.77/0.95 (* end of lemma zenon_L138_ *) % 0.77/0.95 assert (zenon_L139_ : (~(hskp11)) -> (hskp11) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1c7 zenon_H1c8. % 0.77/0.95 exact (zenon_H1c7 zenon_H1c8). % 0.77/0.95 (* end of lemma zenon_L139_ *) % 0.77/0.95 assert (zenon_L140_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (c3_1 (a281)) -> (~(c0_1 (a281))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a281))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1c9 zenon_H140 zenon_H13f zenon_H13 zenon_H15e zenon_H12 zenon_H1c7. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1ca ]. % 0.77/0.95 apply (zenon_L137_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c8 ]. % 0.77/0.95 apply (zenon_L138_); trivial. % 0.77/0.95 exact (zenon_H1c7 zenon_H1c8). % 0.77/0.95 (* end of lemma zenon_L140_ *) % 0.77/0.95 assert (zenon_L141_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp11)) -> (ndr1_0) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (c3_1 (a281)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp0)) -> (~(hskp1)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H20 zenon_H1c7 zenon_H12 zenon_H15e zenon_H13f zenon_H140 zenon_H1c9 zenon_H1d zenon_Hb. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H13 | zenon_intro zenon_H23 ]. % 0.77/0.95 apply (zenon_L140_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_H1e | zenon_intro zenon_Hc ]. % 0.77/0.95 exact (zenon_H1d zenon_H1e). % 0.77/0.95 exact (zenon_Hb zenon_Hc). % 0.77/0.95 (* end of lemma zenon_L141_ *) % 0.77/0.95 assert (zenon_L142_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H71 zenon_H12 zenon_H1cb zenon_H1cc zenon_H1cd. % 0.77/0.95 generalize (zenon_H71 (a282)). zenon_intro zenon_H1ce. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1ce); [ zenon_intro zenon_H11 | zenon_intro zenon_H1cf ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d0 ]. % 0.77/0.95 exact (zenon_H1cb zenon_H1d1). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1d2 ]. % 0.77/0.95 exact (zenon_H1cc zenon_H1d3). % 0.77/0.95 exact (zenon_H1d2 zenon_H1cd). % 0.77/0.95 (* end of lemma zenon_L142_ *) % 0.77/0.95 assert (zenon_L143_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a281))) -> (c3_1 (a281)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (~(c0_1 (a281))) -> (ndr1_0) -> (c0_1 (a278)) -> (c1_1 (a278)) -> (c3_1 (a278)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1d4 zenon_H15e zenon_H140 zenon_H89 zenon_H13f zenon_H12 zenon_H12b zenon_H12d zenon_H12c. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.77/0.95 apply (zenon_L137_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.77/0.95 apply (zenon_L90_); trivial. % 0.77/0.95 apply (zenon_L103_); trivial. % 0.77/0.95 (* end of lemma zenon_L143_ *) % 0.77/0.95 assert (zenon_L144_ : ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp7)\/(hskp12))) -> (~(c3_1 (a271))) -> (~(c0_1 (a271))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3))))) -> (~(hskp7)) -> (~(hskp12)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1d6 zenon_H189 zenon_H187 zenon_H12 zenon_H115 zenon_H3 zenon_H9. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H25 | zenon_intro zenon_H1d7 ]. % 0.77/0.95 apply (zenon_L125_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H4 | zenon_intro zenon_Ha ]. % 0.77/0.95 exact (zenon_H3 zenon_H4). % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 (* end of lemma zenon_L144_ *) % 0.77/0.95 assert (zenon_L145_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(c1_1 (a271))) -> (~(hskp12)) -> (~(hskp7)) -> (ndr1_0) -> (~(c0_1 (a271))) -> (~(c3_1 (a271))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp7)\/(hskp12))) -> (~(hskp2)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H122 zenon_H188 zenon_H9 zenon_H3 zenon_H12 zenon_H187 zenon_H189 zenon_H1d6 zenon_H11f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H10f | zenon_intro zenon_H126 ]. % 0.77/0.95 apply (zenon_L121_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H115 | zenon_intro zenon_H120 ]. % 0.77/0.95 apply (zenon_L144_); trivial. % 0.77/0.95 exact (zenon_H11f zenon_H120). % 0.77/0.95 (* end of lemma zenon_L145_ *) % 0.77/0.95 assert (zenon_L146_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (ndr1_0) -> (~(c0_1 (a271))) -> (~(c1_1 (a271))) -> (~(c3_1 (a271))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp7)\/(hskp12))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H6a zenon_H42 zenon_H3e zenon_H3c zenon_H31 zenon_H12 zenon_H187 zenon_H188 zenon_H189 zenon_H1d6 zenon_H3 zenon_H11f zenon_H122. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.95 apply (zenon_L145_); trivial. % 0.77/0.95 apply (zenon_L31_); trivial. % 0.77/0.95 (* end of lemma zenon_L146_ *) % 0.77/0.95 assert (zenon_L147_ : (forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c1_1 (a313))) -> (~(c2_1 (a313))) -> (~(c3_1 (a313))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1d8 zenon_H12 zenon_H106 zenon_H125 zenon_H107. % 0.77/0.95 generalize (zenon_H1d8 (a313)). zenon_intro zenon_H1d9. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1d9); [ zenon_intro zenon_H11 | zenon_intro zenon_H1da ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H10c | zenon_intro zenon_H1db ]. % 0.77/0.95 exact (zenon_H106 zenon_H10c). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H10e ]. % 0.77/0.95 exact (zenon_H125 zenon_H1a9). % 0.77/0.95 exact (zenon_H107 zenon_H10e). % 0.77/0.95 (* end of lemma zenon_L147_ *) % 0.77/0.95 assert (zenon_L148_ : ((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> (c2_1 (a311)) -> (c0_1 (a311)) -> (~(c3_1 (a311))) -> (~(hskp7)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H121 zenon_H1dc zenon_H1ad zenon_H1ac zenon_H1ab zenon_H3. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H123. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H106. zenon_intro zenon_H124. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H125. zenon_intro zenon_H107. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1d8 | zenon_intro zenon_H1dd ]. % 0.77/0.95 apply (zenon_L147_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1dd); [ zenon_intro zenon_H1aa | zenon_intro zenon_H4 ]. % 0.77/0.95 apply (zenon_L132_); trivial. % 0.77/0.95 exact (zenon_H3 zenon_H4). % 0.77/0.95 (* end of lemma zenon_L148_ *) % 0.77/0.95 assert (zenon_L149_ : ((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp21)) -> (~(hskp10)) -> ((hskp21)\/((hskp10)\/(hskp23))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1b7 zenon_H14f zenon_H1dc zenon_H3 zenon_Hd4 zenon_Hff zenon_H103. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.77/0.95 apply (zenon_L72_); trivial. % 0.77/0.95 apply (zenon_L148_); trivial. % 0.77/0.95 (* end of lemma zenon_L149_ *) % 0.77/0.95 assert (zenon_L150_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a286)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_He4 zenon_He5 zenon_He2 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H35 zenon_H34 zenon_H33 zenon_H7f zenon_H80 zenon_H81 zenon_H16d zenon_Hf7 zenon_H3 zenon_H15f zenon_H160 zenon_H161 zenon_H1 zenon_H90 zenon_Ha1. % 0.77/0.95 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/0.95 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/0.95 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/0.95 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.95 apply (zenon_L38_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.95 apply (zenon_L39_); trivial. % 0.77/0.95 apply (zenon_L101_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.95 apply (zenon_L61_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.95 apply (zenon_L39_); trivial. % 0.77/0.95 apply (zenon_L101_); trivial. % 0.77/0.95 (* end of lemma zenon_L150_ *) % 0.77/0.95 assert (zenon_L151_ : ((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> (~(hskp10)) -> ((hskp21)\/((hskp10)\/(hskp23))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp22)\/(hskp0))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> (~(c0_1 (a284))) -> (~(c3_1 (a284))) -> (c2_1 (a284)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H156 zenon_H42 zenon_Hfe zenon_Hfa zenon_H7 zenon_H3 zenon_H1b6 zenon_H14f zenon_H1dc zenon_Hff zenon_H103 zenon_H44 zenon_H45 zenon_H46 zenon_H1d zenon_H19a zenon_Ha1 zenon_H90 zenon_Hf7 zenon_H16d zenon_H7c zenon_He2 zenon_He5 zenon_He9 zenon_H16f zenon_H26 zenon_H27 zenon_H28 zenon_H31. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.95 apply (zenon_L16_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.95 apply (zenon_L4_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.95 apply (zenon_L129_); trivial. % 0.77/0.95 apply (zenon_L149_); trivial. % 0.77/0.95 apply (zenon_L150_); trivial. % 0.77/0.95 apply (zenon_L68_); trivial. % 0.77/0.95 (* end of lemma zenon_L151_ *) % 0.77/0.95 assert (zenon_L152_ : (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1c1 zenon_H12 zenon_H15f zenon_H160 zenon_H161. % 0.77/0.95 generalize (zenon_H1c1 (a298)). zenon_intro zenon_H1de. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1de); [ zenon_intro zenon_H11 | zenon_intro zenon_H1df ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H165 | zenon_intro zenon_H16a ]. % 0.77/0.95 exact (zenon_H15f zenon_H165). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H166 | zenon_intro zenon_H16c ]. % 0.77/0.95 exact (zenon_H166 zenon_H160). % 0.77/0.95 exact (zenon_H16c zenon_H161). % 0.77/0.95 (* end of lemma zenon_L152_ *) % 0.77/0.95 assert (zenon_L153_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (~(hskp11)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H170 zenon_H1c9 zenon_H140 zenon_H15e zenon_H13f zenon_H1c7. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1ca ]. % 0.77/0.95 apply (zenon_L137_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c8 ]. % 0.77/0.95 apply (zenon_L152_); trivial. % 0.77/0.95 exact (zenon_H1c7 zenon_H1c8). % 0.77/0.95 (* end of lemma zenon_L153_ *) % 0.77/0.95 assert (zenon_L154_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (~(hskp16)) -> (~(hskp7)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H16f zenon_H1c9 zenon_H1c7 zenon_H140 zenon_H15e zenon_H13f zenon_H1 zenon_H3 zenon_H7. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.95 apply (zenon_L4_); trivial. % 0.77/0.95 apply (zenon_L153_); trivial. % 0.77/0.95 (* end of lemma zenon_L154_ *) % 0.77/0.95 assert (zenon_L155_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> (~(c0_1 (a281))) -> (~(c2_1 (a281))) -> (c3_1 (a281)) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hfe zenon_Hfa zenon_Hf7 zenon_H46 zenon_H45 zenon_H44 zenon_H7 zenon_H3 zenon_H13f zenon_H15e zenon_H140 zenon_H1c7 zenon_H1c9 zenon_H16f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.95 apply (zenon_L154_); trivial. % 0.77/0.95 apply (zenon_L68_); trivial. % 0.77/0.95 (* end of lemma zenon_L155_ *) % 0.77/0.95 assert (zenon_L156_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp16)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c0_1 (a281))) -> (c3_1 (a281)) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp3)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H170 zenon_H1ba zenon_H1 zenon_H44 zenon_H46 zenon_H90 zenon_H13f zenon_H140 zenon_H1cb zenon_H1cc zenon_H1cd zenon_Ha1 zenon_H5d. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H71 | zenon_intro zenon_H1bb ]. % 0.77/0.95 apply (zenon_L142_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H89 | zenon_intro zenon_H5e ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.95 apply (zenon_L142_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.95 apply (zenon_L90_); trivial. % 0.77/0.95 apply (zenon_L100_); trivial. % 0.77/0.95 exact (zenon_H5d zenon_H5e). % 0.77/0.95 (* end of lemma zenon_L156_ *) % 0.77/0.95 assert (zenon_L157_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a281))) -> (c3_1 (a281)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (~(hskp16)) -> (~(hskp7)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H16f zenon_H1ba zenon_H5d zenon_H13f zenon_H140 zenon_H90 zenon_H46 zenon_H44 zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1 zenon_H3 zenon_H7. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.95 apply (zenon_L4_); trivial. % 0.77/0.95 apply (zenon_L156_); trivial. % 0.77/0.95 (* end of lemma zenon_L157_ *) % 0.77/0.95 assert (zenon_L158_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hf9 zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H81 zenon_H80 zenon_H7f. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.95 apply (zenon_L142_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.95 apply (zenon_L39_); trivial. % 0.77/0.95 apply (zenon_L66_); trivial. % 0.77/0.95 (* end of lemma zenon_L158_ *) % 0.77/0.95 assert (zenon_L159_ : ((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a281)) -> (~(c0_1 (a281))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H156 zenon_Hfe zenon_H7 zenon_H3 zenon_H1cb zenon_H1cc zenon_H1cd zenon_Ha1 zenon_H44 zenon_H46 zenon_H90 zenon_H140 zenon_H13f zenon_H5d zenon_H1ba zenon_H16f. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.95 apply (zenon_L157_); trivial. % 0.77/0.95 apply (zenon_L158_); trivial. % 0.77/0.95 (* end of lemma zenon_L159_ *) % 0.77/0.95 assert (zenon_L160_ : ((ndr1_0)/\((c0_1 (a274))/\((c1_1 (a274))/\(~(c3_1 (a274)))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a275)))/\((~(c2_1 (a275)))/\(~(c3_1 (a275))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a271))) -> (~(c1_1 (a271))) -> (~(c0_1 (a271))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H184 zenon_H14d zenon_H6a zenon_H42 zenon_H3e zenon_H31 zenon_Hf zenon_Hb zenon_H1d zenon_H20 zenon_H24 zenon_H6f zenon_H6b zenon_H122 zenon_H11f zenon_H189 zenon_H188 zenon_H187 zenon_Hec zenon_He9 zenon_He2 zenon_H7c zenon_Hd6 zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H9f zenon_H90 zenon_Ha1 zenon_Hed zenon_Hfa zenon_Hfe zenon_H150 zenon_H151. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.95 apply (zenon_L32_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.95 apply (zenon_L13_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.77/0.95 apply (zenon_L35_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.95 apply (zenon_L126_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.95 apply (zenon_L115_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.95 apply (zenon_L94_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.95 apply (zenon_L39_); trivial. % 0.77/0.95 apply (zenon_L44_); trivial. % 0.77/0.95 apply (zenon_L64_); trivial. % 0.77/0.95 apply (zenon_L68_); trivial. % 0.77/0.95 apply (zenon_L122_); trivial. % 0.77/0.95 (* end of lemma zenon_L160_ *) % 0.77/0.95 assert (zenon_L161_ : (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19)))))) -> (ndr1_0) -> (~(c0_1 (a305))) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18)))))) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H32 zenon_H12 zenon_Hb7 zenon_H25 zenon_Hb8 zenon_Hb9. % 0.77/0.95 generalize (zenon_H32 (a305)). zenon_intro zenon_H1e0. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1e0); [ zenon_intro zenon_H11 | zenon_intro zenon_H1e1 ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_Hbd | zenon_intro zenon_H1e2 ]. % 0.77/0.95 exact (zenon_Hb7 zenon_Hbd). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H1e3 | zenon_intro zenon_Hbe ]. % 0.77/0.95 generalize (zenon_H25 (a305)). zenon_intro zenon_H1e4. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1e4); [ zenon_intro zenon_H11 | zenon_intro zenon_H1e5 ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_Hbd | zenon_intro zenon_H1e6 ]. % 0.77/0.95 exact (zenon_Hb7 zenon_Hbd). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_Hbf | zenon_intro zenon_H1e7 ]. % 0.77/0.95 exact (zenon_Hb8 zenon_Hbf). % 0.77/0.95 exact (zenon_H1e7 zenon_H1e3). % 0.77/0.95 exact (zenon_Hbe zenon_Hb9). % 0.77/0.95 (* end of lemma zenon_L161_ *) % 0.77/0.95 assert (zenon_L162_ : ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp14)) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (~(c0_1 (a305))) -> (ndr1_0) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19)))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H31 zenon_H2f zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H12 zenon_H32. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H25 | zenon_intro zenon_H30 ]. % 0.77/0.95 apply (zenon_L161_); trivial. % 0.77/0.95 exact (zenon_H2f zenon_H30). % 0.77/0.95 (* end of lemma zenon_L162_ *) % 0.77/0.95 assert (zenon_L163_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hc7 zenon_H3e zenon_H3c zenon_H2f zenon_H31. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H32 | zenon_intro zenon_H3d ]. % 0.77/0.95 apply (zenon_L162_); trivial. % 0.77/0.95 exact (zenon_H3c zenon_H3d). % 0.77/0.95 (* end of lemma zenon_L163_ *) % 0.77/0.95 assert (zenon_L164_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hed zenon_H3e zenon_H3c zenon_H2f zenon_H31 zenon_H113 zenon_Had zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hb2 zenon_He5. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.95 apply (zenon_L115_); trivial. % 0.77/0.95 apply (zenon_L163_); trivial. % 0.77/0.95 (* end of lemma zenon_L164_ *) % 0.77/0.95 assert (zenon_L165_ : (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18)))))) -> (ndr1_0) -> (~(c0_1 (a303))) -> (~(c3_1 (a303))) -> (c2_1 (a303)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H25 zenon_H12 zenon_H1e8 zenon_Hcb zenon_Hcd. % 0.77/0.95 generalize (zenon_H25 (a303)). zenon_intro zenon_H1e9. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1e9); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ea ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1eb ]. % 0.77/0.95 exact (zenon_H1e8 zenon_H1ec). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd2 ]. % 0.77/0.95 exact (zenon_Hcb zenon_Hd1). % 0.77/0.95 exact (zenon_Hd2 zenon_Hcd). % 0.77/0.95 (* end of lemma zenon_L165_ *) % 0.77/0.95 assert (zenon_L166_ : (forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))) -> (ndr1_0) -> (~(c3_1 (a303))) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18)))))) -> (c2_1 (a303)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1aa zenon_H12 zenon_Hcb zenon_H25 zenon_Hcd. % 0.77/0.95 generalize (zenon_H1aa (a303)). zenon_intro zenon_H1ed. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1ed); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ee ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H1ef ]. % 0.77/0.95 exact (zenon_Hcb zenon_Hd1). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1e8 | zenon_intro zenon_Hd2 ]. % 0.77/0.95 apply (zenon_L165_); trivial. % 0.77/0.95 exact (zenon_Hd2 zenon_Hcd). % 0.77/0.95 (* end of lemma zenon_L166_ *) % 0.77/0.95 assert (zenon_L167_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> (~(c3_1 (a303))) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18)))))) -> (c2_1 (a303)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1b4 zenon_H19f zenon_H19e zenon_H19d zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hcb zenon_H25 zenon_Hcd. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b5 ]. % 0.77/0.95 apply (zenon_L130_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H105 | zenon_intro zenon_H1aa ]. % 0.77/0.95 apply (zenon_L106_); trivial. % 0.77/0.95 apply (zenon_L166_); trivial. % 0.77/0.95 (* end of lemma zenon_L167_ *) % 0.77/0.95 assert (zenon_L168_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp14)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_He8 zenon_H31 zenon_H2f zenon_H19d zenon_H19e zenon_H19f zenon_H179 zenon_H17a zenon_H17b zenon_H1b4. % 0.77/0.95 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H25 | zenon_intro zenon_H30 ]. % 0.77/0.95 apply (zenon_L167_); trivial. % 0.77/0.95 exact (zenon_H2f zenon_H30). % 0.77/0.95 (* end of lemma zenon_L168_ *) % 0.77/0.95 assert (zenon_L169_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H42 zenon_Hed zenon_H3e zenon_H3c zenon_H31 zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hb2 zenon_He5 zenon_H1b4 zenon_H19f zenon_H19e zenon_H19d zenon_Hec. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.95 apply (zenon_L164_); trivial. % 0.77/0.95 apply (zenon_L168_); trivial. % 0.77/0.95 apply (zenon_L20_); trivial. % 0.77/0.95 (* end of lemma zenon_L169_ *) % 0.77/0.95 assert (zenon_L170_ : ((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1b7 zenon_H1b4 zenon_H19f zenon_H19e zenon_H19d zenon_H17b zenon_H17a zenon_H179. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b5 ]. % 0.77/0.95 apply (zenon_L130_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H105 | zenon_intro zenon_H1aa ]. % 0.77/0.95 apply (zenon_L106_); trivial. % 0.77/0.95 apply (zenon_L132_); trivial. % 0.77/0.95 (* end of lemma zenon_L170_ *) % 0.77/0.95 assert (zenon_L171_ : ((ndr1_0)/\((c1_1 (a273))/\((c2_1 (a273))/\(~(c0_1 (a273)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp22)\/(hskp0))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1f0 zenon_H151 zenon_H1b6 zenon_H1d zenon_H19a zenon_Hec zenon_H1b4 zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H31 zenon_H3e zenon_Hed zenon_H42. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.95 apply (zenon_L169_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.95 apply (zenon_L129_); trivial. % 0.77/0.95 apply (zenon_L170_); trivial. % 0.77/0.95 (* end of lemma zenon_L171_ *) % 0.77/0.95 assert (zenon_L172_ : (forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47)))))) -> (ndr1_0) -> (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1f3 zenon_H12 zenon_H1c1 zenon_H1f4 zenon_H1f5 zenon_H1f6. % 0.77/0.95 generalize (zenon_H1f3 (a270)). zenon_intro zenon_H1f7. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1f7); [ zenon_intro zenon_H11 | zenon_intro zenon_H1f8 ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1f9 ]. % 0.77/0.95 generalize (zenon_H1c1 (a270)). zenon_intro zenon_H1fb. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1fb); [ zenon_intro zenon_H11 | zenon_intro zenon_H1fc ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1fd ]. % 0.77/0.95 exact (zenon_H1f4 zenon_H1fe). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H200 | zenon_intro zenon_H1ff ]. % 0.77/0.95 exact (zenon_H200 zenon_H1fa). % 0.77/0.95 exact (zenon_H1ff zenon_H1f5). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1fe | zenon_intro zenon_H201 ]. % 0.77/0.95 exact (zenon_H1f4 zenon_H1fe). % 0.77/0.95 exact (zenon_H201 zenon_H1f6). % 0.77/0.95 (* end of lemma zenon_L172_ *) % 0.77/0.95 assert (zenon_L173_ : (forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47)))))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1f3 zenon_H12 zenon_H173 zenon_H1f6 zenon_H1f5 zenon_H1f4. % 0.77/0.95 generalize (zenon_H1f3 (a270)). zenon_intro zenon_H1f7. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1f7); [ zenon_intro zenon_H11 | zenon_intro zenon_H1f8 ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1f9 ]. % 0.77/0.95 generalize (zenon_H173 (a270)). zenon_intro zenon_H202. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H202); [ zenon_intro zenon_H11 | zenon_intro zenon_H203 ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H201 | zenon_intro zenon_H1fd ]. % 0.77/0.95 exact (zenon_H201 zenon_H1f6). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H200 | zenon_intro zenon_H1ff ]. % 0.77/0.95 exact (zenon_H200 zenon_H1fa). % 0.77/0.95 exact (zenon_H1ff zenon_H1f5). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1fe | zenon_intro zenon_H201 ]. % 0.77/0.95 exact (zenon_H1f4 zenon_H1fe). % 0.77/0.95 exact (zenon_H201 zenon_H1f6). % 0.77/0.95 (* end of lemma zenon_L173_ *) % 0.77/0.95 assert (zenon_L174_ : ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (ndr1_0) -> (forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47)))))) -> (~(hskp23)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H204 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H12 zenon_H1f3 zenon_H101. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H205 ]. % 0.77/0.95 apply (zenon_L172_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H173 | zenon_intro zenon_H102 ]. % 0.77/0.95 apply (zenon_L173_); trivial. % 0.77/0.95 exact (zenon_H101 zenon_H102). % 0.77/0.95 (* end of lemma zenon_L174_ *) % 0.77/0.95 assert (zenon_L175_ : ((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp23)) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (~(hskp18)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H61 zenon_H206 zenon_H101 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H204 zenon_H5. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H12. zenon_intro zenon_H63. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H54. zenon_intro zenon_H64. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H55. zenon_intro zenon_H56. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H207 ]. % 0.77/0.95 apply (zenon_L174_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H53 | zenon_intro zenon_H6 ]. % 0.77/0.95 apply (zenon_L26_); trivial. % 0.77/0.95 exact (zenon_H5 zenon_H6). % 0.77/0.95 (* end of lemma zenon_L175_ *) % 0.77/0.95 assert (zenon_L176_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp22)\/(hskp0))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H170 zenon_H1b6 zenon_H14f zenon_H1dc zenon_H204 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H3 zenon_H208 zenon_H44 zenon_H45 zenon_H46 zenon_H1d zenon_H19a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.95 apply (zenon_L129_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H209 ]. % 0.77/0.95 apply (zenon_L174_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H4 ]. % 0.77/0.95 apply (zenon_L152_); trivial. % 0.77/0.95 exact (zenon_H3 zenon_H4). % 0.77/0.95 apply (zenon_L148_); trivial. % 0.77/0.95 (* end of lemma zenon_L176_ *) % 0.77/0.95 assert (zenon_L177_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp22)\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H151 zenon_H16f zenon_H208 zenon_H19a zenon_H66 zenon_H206 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H204 zenon_H4f zenon_H51 zenon_H3 zenon_H1dc zenon_H14f zenon_H1b6 zenon_H24 zenon_H20 zenon_H1d zenon_Hb zenon_Hf zenon_H31 zenon_H3e zenon_H42 zenon_H6a. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.95 apply (zenon_L32_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.95 apply (zenon_L129_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.77/0.95 apply (zenon_L25_); trivial. % 0.77/0.95 apply (zenon_L175_); trivial. % 0.77/0.95 apply (zenon_L148_); trivial. % 0.77/0.95 apply (zenon_L176_); trivial. % 0.77/0.95 (* end of lemma zenon_L177_ *) % 0.77/0.95 assert (zenon_L178_ : ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> (c2_1 (a307)) -> (c0_1 (a307)) -> (~(c1_1 (a307))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp20)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H20a zenon_Hdb zenon_Hda zenon_Hd9 zenon_H12 zenon_H4d zenon_Haf. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_Hd8 | zenon_intro zenon_H20b ]. % 0.77/0.95 apply (zenon_L60_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb0 ]. % 0.77/0.95 exact (zenon_H4d zenon_H4e). % 0.77/0.95 exact (zenon_Haf zenon_Hb0). % 0.77/0.95 (* end of lemma zenon_L178_ *) % 0.77/0.95 assert (zenon_L179_ : ((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a311)) -> (c0_1 (a311)) -> (~(c3_1 (a311))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H121 zenon_H20c zenon_H1ad zenon_H1ac zenon_H1ab zenon_H19d zenon_H19e zenon_H19f zenon_H1b4 zenon_Hd9 zenon_Hda zenon_Hdb. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H123. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H106. zenon_intro zenon_H124. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H125. zenon_intro zenon_H107. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H13 | zenon_intro zenon_H20d ]. % 0.77/0.95 apply (zenon_L133_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1d8 | zenon_intro zenon_Hd8 ]. % 0.77/0.95 apply (zenon_L147_); trivial. % 0.77/0.95 apply (zenon_L60_); trivial. % 0.77/0.95 (* end of lemma zenon_L179_ *) % 0.77/0.95 assert (zenon_L180_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> (~(hskp20)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp22)\/(hskp0))) -> False). % 0.77/0.95 do 0 intro. intros zenon_He4 zenon_H1b6 zenon_H14f zenon_H20c zenon_H19d zenon_H19e zenon_H19f zenon_H1b4 zenon_H20a zenon_Haf zenon_H204 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H5 zenon_H206 zenon_H66 zenon_H44 zenon_H45 zenon_H46 zenon_H1d zenon_H19a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/0.95 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/0.95 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.95 apply (zenon_L129_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.77/0.95 apply (zenon_L178_); trivial. % 0.77/0.95 apply (zenon_L175_); trivial. % 0.77/0.95 apply (zenon_L179_); trivial. % 0.77/0.95 (* end of lemma zenon_L180_ *) % 0.77/0.95 assert (zenon_L181_ : (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(c1_1 (a270))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H88 zenon_H12 zenon_H200 zenon_H1f6 zenon_H1f5. % 0.77/0.95 generalize (zenon_H88 (a270)). zenon_intro zenon_H20e. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H20e); [ zenon_intro zenon_H11 | zenon_intro zenon_H20f ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H1fa | zenon_intro zenon_H210 ]. % 0.77/0.95 exact (zenon_H200 zenon_H1fa). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H201 | zenon_intro zenon_H1ff ]. % 0.77/0.95 exact (zenon_H201 zenon_H1f6). % 0.77/0.95 exact (zenon_H1ff zenon_H1f5). % 0.77/0.95 (* end of lemma zenon_L181_ *) % 0.77/0.95 assert (zenon_L182_ : (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))) -> (ndr1_0) -> (~(c2_1 (a270))) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1c1 zenon_H12 zenon_H1f4 zenon_H88 zenon_H1f6 zenon_H1f5. % 0.77/0.95 generalize (zenon_H1c1 (a270)). zenon_intro zenon_H1fb. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1fb); [ zenon_intro zenon_H11 | zenon_intro zenon_H1fc ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1fd ]. % 0.77/0.95 exact (zenon_H1f4 zenon_H1fe). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H200 | zenon_intro zenon_H1ff ]. % 0.77/0.95 apply (zenon_L181_); trivial. % 0.77/0.95 exact (zenon_H1ff zenon_H1f5). % 0.77/0.95 (* end of lemma zenon_L182_ *) % 0.77/0.95 assert (zenon_L183_ : (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (c0_1 (a270)) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (c3_1 (a270)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H173 zenon_H12 zenon_H1f6 zenon_H88 zenon_H1f5. % 0.77/0.95 generalize (zenon_H173 (a270)). zenon_intro zenon_H202. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H202); [ zenon_intro zenon_H11 | zenon_intro zenon_H203 ]. % 0.77/0.95 exact (zenon_H11 zenon_H12). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H201 | zenon_intro zenon_H1fd ]. % 0.77/0.95 exact (zenon_H201 zenon_H1f6). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H200 | zenon_intro zenon_H1ff ]. % 0.77/0.95 apply (zenon_L181_); trivial. % 0.77/0.95 exact (zenon_H1ff zenon_H1f5). % 0.77/0.95 (* end of lemma zenon_L183_ *) % 0.77/0.95 assert (zenon_L184_ : ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (c0_1 (a270)) -> (ndr1_0) -> (~(hskp23)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H204 zenon_H1f4 zenon_H1f5 zenon_H88 zenon_H1f6 zenon_H12 zenon_H101. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H205 ]. % 0.77/0.95 apply (zenon_L182_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H173 | zenon_intro zenon_H102 ]. % 0.77/0.95 apply (zenon_L183_); trivial. % 0.77/0.95 exact (zenon_H101 zenon_H102). % 0.77/0.95 (* end of lemma zenon_L184_ *) % 0.77/0.95 assert (zenon_L185_ : ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (~(c0_1 (a305))) -> (~(hskp23)) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hc5 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H101 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H204 zenon_H12 zenon_Hc1 zenon_H92 zenon_H93. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hc6 ]. % 0.77/0.95 apply (zenon_L50_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc0 ]. % 0.77/0.95 apply (zenon_L184_); trivial. % 0.77/0.95 apply (zenon_L51_); trivial. % 0.77/0.95 (* end of lemma zenon_L185_ *) % 0.77/0.95 assert (zenon_L186_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp22)\/(hskp0))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hc7 zenon_H1b6 zenon_H14f zenon_H20 zenon_Hb zenon_H19d zenon_H19e zenon_H19f zenon_H1b4 zenon_H204 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H44 zenon_H45 zenon_H46 zenon_H1d zenon_H19a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.95 apply (zenon_L129_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.77/0.95 apply (zenon_L185_); trivial. % 0.77/0.95 apply (zenon_L134_); trivial. % 0.77/0.95 (* end of lemma zenon_L186_ *) % 0.77/0.95 assert (zenon_L187_ : ((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (~(hskp23)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H139 zenon_H204 zenon_H161 zenon_H160 zenon_H15f zenon_H101. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H205 ]. % 0.77/0.95 apply (zenon_L152_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H173 | zenon_intro zenon_H102 ]. % 0.77/0.95 apply (zenon_L103_); trivial. % 0.77/0.95 exact (zenon_H101 zenon_H102). % 0.77/0.95 (* end of lemma zenon_L187_ *) % 0.77/0.95 assert (zenon_L188_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> (~(hskp23)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H13c zenon_H204 zenon_H161 zenon_H160 zenon_H15f zenon_H12 zenon_Hc1 zenon_H92 zenon_H93 zenon_H101 zenon_H13d. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/0.95 apply (zenon_L89_); trivial. % 0.77/0.95 apply (zenon_L187_); trivial. % 0.77/0.95 (* end of lemma zenon_L188_ *) % 0.77/0.95 assert (zenon_L189_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp22)\/(hskp0))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H170 zenon_H1b6 zenon_H14f zenon_H20 zenon_Hb zenon_H19d zenon_H19e zenon_H19f zenon_H1b4 zenon_H13d zenon_H93 zenon_H92 zenon_Hc1 zenon_H204 zenon_H13c zenon_H44 zenon_H45 zenon_H46 zenon_H1d zenon_H19a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.95 apply (zenon_L129_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.77/0.95 apply (zenon_L188_); trivial. % 0.77/0.95 apply (zenon_L134_); trivial. % 0.77/0.95 (* end of lemma zenon_L189_ *) % 0.77/0.95 assert (zenon_L190_ : ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (~(hskp23)) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c2_1 (a303)) -> (c1_1 (a303)) -> (~(c3_1 (a303))) -> (ndr1_0) -> (~(hskp21)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hd6 zenon_H101 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H204 zenon_Hcd zenon_Hcc zenon_Hcb zenon_H12 zenon_Hd4. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H88 | zenon_intro zenon_Hd7 ]. % 0.77/0.95 apply (zenon_L184_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 0.77/0.95 apply (zenon_L56_); trivial. % 0.77/0.95 exact (zenon_Hd4 zenon_Hd5). % 0.77/0.95 (* end of lemma zenon_L190_ *) % 0.77/0.95 assert (zenon_L191_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> (~(c3_1 (a303))) -> (c1_1 (a303)) -> (c2_1 (a303)) -> (~(hskp21)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (ndr1_0) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp22)\/(hskp0))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1b6 zenon_H14f zenon_H20 zenon_Hb zenon_H19d zenon_H19e zenon_H19f zenon_H1b4 zenon_H204 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hcb zenon_Hcc zenon_Hcd zenon_Hd4 zenon_Hd6 zenon_H12 zenon_H44 zenon_H45 zenon_H46 zenon_H1d zenon_H19a. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.95 apply (zenon_L129_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.77/0.95 apply (zenon_L190_); trivial. % 0.77/0.95 apply (zenon_L134_); trivial. % 0.77/0.95 (* end of lemma zenon_L191_ *) % 0.77/0.95 assert (zenon_L192_ : ((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a307)) -> (c0_1 (a307)) -> (~(c1_1 (a307))) -> (~(hskp23)) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hb1 zenon_He2 zenon_Hdb zenon_Hda zenon_Hd9 zenon_H101 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H204. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.95 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_He3 ]. % 0.77/0.95 apply (zenon_L60_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H88 | zenon_intro zenon_Ha3 ]. % 0.77/0.95 apply (zenon_L184_); trivial. % 0.77/0.95 apply (zenon_L46_); trivial. % 0.77/0.95 (* end of lemma zenon_L192_ *) % 0.77/0.95 assert (zenon_L193_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c0_1 (a281))) -> (c3_1 (a281)) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp22)\/(hskp0))) -> False). % 0.77/0.95 do 0 intro. intros zenon_He4 zenon_H1b6 zenon_H14f zenon_H20c zenon_H19d zenon_H19e zenon_H19f zenon_H1b4 zenon_H13c zenon_Ha1 zenon_H13f zenon_H140 zenon_Hb zenon_H14b zenon_H33 zenon_H34 zenon_H35 zenon_H7c zenon_Hc1 zenon_H92 zenon_H93 zenon_H13d zenon_H204 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_He2 zenon_He5 zenon_H44 zenon_H45 zenon_H46 zenon_H1d zenon_H19a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/0.95 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/0.95 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.95 apply (zenon_L129_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.95 apply (zenon_L92_); trivial. % 0.77/0.95 apply (zenon_L192_); trivial. % 0.77/0.95 apply (zenon_L179_); trivial. % 0.77/0.95 (* end of lemma zenon_L193_ *) % 0.77/0.95 assert (zenon_L194_ : ((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp22)\/(hskp0))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c2_1 (a270))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H15b zenon_H6a zenon_H42 zenon_Hec zenon_He9 zenon_H20c zenon_He2 zenon_Hd6 zenon_H1b6 zenon_H14f zenon_H19d zenon_H19e zenon_H19f zenon_H1b4 zenon_H13c zenon_Ha1 zenon_H14b zenon_H7c zenon_Hc1 zenon_H92 zenon_H93 zenon_H13d zenon_Hb2 zenon_He5 zenon_H44 zenon_H45 zenon_H46 zenon_H19a zenon_Hc5 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H204 zenon_Hed zenon_H31 zenon_Hf zenon_Hb zenon_H1d zenon_H20 zenon_H24. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.95 apply (zenon_L13_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.95 apply (zenon_L16_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.95 apply (zenon_L129_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.77/0.95 apply (zenon_L93_); trivial. % 0.77/0.95 apply (zenon_L134_); trivial. % 0.77/0.95 apply (zenon_L186_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/0.95 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.95 apply (zenon_L191_); trivial. % 0.77/0.95 apply (zenon_L193_); trivial. % 0.77/0.95 (* end of lemma zenon_L194_ *) % 0.77/0.95 assert (zenon_L195_ : ((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> (~(hskp0)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp22)\/(hskp0))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H153 zenon_H14e zenon_H6a zenon_H42 zenon_Hec zenon_He2 zenon_Hd6 zenon_Ha1 zenon_H14b zenon_H7c zenon_Hb2 zenon_He5 zenon_H31 zenon_Hf zenon_H24 zenon_Hed zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H1b6 zenon_H14f zenon_H20 zenon_Hb zenon_H19d zenon_H19e zenon_H19f zenon_H1b4 zenon_H103 zenon_H1d zenon_H19a zenon_H66 zenon_H206 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H204 zenon_H20a zenon_H20c zenon_He9 zenon_H13c zenon_H13d zenon_H16f. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.95 apply (zenon_L135_); trivial. % 0.77/0.95 apply (zenon_L180_); trivial. % 0.77/0.95 apply (zenon_L186_); trivial. % 0.77/0.95 apply (zenon_L189_); trivial. % 0.77/0.95 apply (zenon_L194_); trivial. % 0.77/0.95 (* end of lemma zenon_L195_ *) % 0.77/0.95 assert (zenon_L196_ : ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (ndr1_0) -> (forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47)))))) -> (~(hskp7)) -> (~(hskp19)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H177 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H12 zenon_H1f3 zenon_H3 zenon_Had. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H173 | zenon_intro zenon_H178 ]. % 0.77/0.95 apply (zenon_L173_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H4 | zenon_intro zenon_Hae ]. % 0.77/0.95 exact (zenon_H3 zenon_H4). % 0.77/0.95 exact (zenon_Had zenon_Hae). % 0.77/0.95 (* end of lemma zenon_L196_ *) % 0.77/0.95 assert (zenon_L197_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp19)) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H208 zenon_Had zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H177 zenon_H161 zenon_H160 zenon_H15f zenon_H12 zenon_H3. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H209 ]. % 0.77/0.95 apply (zenon_L196_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H4 ]. % 0.77/0.95 apply (zenon_L152_); trivial. % 0.77/0.95 exact (zenon_H3 zenon_H4). % 0.77/0.95 (* end of lemma zenon_L197_ *) % 0.77/0.95 assert (zenon_L198_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a286)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_He8 zenon_He9 zenon_He5 zenon_He2 zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_Hd6 zenon_H46 zenon_H45 zenon_H44 zenon_H7f zenon_H80 zenon_H81 zenon_H16d zenon_Hf7 zenon_H3 zenon_H15f zenon_H160 zenon_H161 zenon_H1 zenon_H90 zenon_Ha1. % 0.77/0.95 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/0.95 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.95 apply (zenon_L58_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.95 apply (zenon_L39_); trivial. % 0.77/0.95 apply (zenon_L101_); trivial. % 0.77/0.95 apply (zenon_L150_); trivial. % 0.77/0.95 (* end of lemma zenon_L198_ *) % 0.77/0.95 assert (zenon_L199_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a286)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp16)) -> (~(hskp7)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H16f zenon_Hec zenon_He9 zenon_He5 zenon_He2 zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_Hd6 zenon_H46 zenon_H45 zenon_H44 zenon_H7f zenon_H80 zenon_H81 zenon_H16d zenon_Hf7 zenon_H90 zenon_Ha1 zenon_H177 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H208 zenon_H1 zenon_H3 zenon_H7. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.95 apply (zenon_L4_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.95 apply (zenon_L197_); trivial. % 0.77/0.95 apply (zenon_L198_); trivial. % 0.77/0.95 (* end of lemma zenon_L199_ *) % 0.77/0.95 assert (zenon_L200_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H3f zenon_Hfe zenon_Hfa zenon_H7 zenon_H3 zenon_H208 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H177 zenon_Ha1 zenon_H90 zenon_Hf7 zenon_H16d zenon_H81 zenon_H80 zenon_H7f zenon_H44 zenon_H45 zenon_H46 zenon_Hd6 zenon_H7c zenon_He2 zenon_He5 zenon_He9 zenon_Hec zenon_H16f. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.95 apply (zenon_L199_); trivial. % 0.77/0.95 apply (zenon_L68_); trivial. % 0.77/0.95 (* end of lemma zenon_L200_ *) % 0.77/0.95 assert (zenon_L201_ : ((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> (~(c0_1 (a284))) -> (~(c3_1 (a284))) -> (c2_1 (a284)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H156 zenon_H42 zenon_Hfe zenon_Hfa zenon_H7 zenon_H3 zenon_H208 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H177 zenon_Ha1 zenon_H90 zenon_Hf7 zenon_H16d zenon_H44 zenon_H45 zenon_H46 zenon_Hd6 zenon_H7c zenon_He2 zenon_He5 zenon_He9 zenon_Hec zenon_H16f zenon_H26 zenon_H27 zenon_H28 zenon_H31. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.96 apply (zenon_L16_); trivial. % 0.77/0.96 apply (zenon_L200_); trivial. % 0.77/0.96 (* end of lemma zenon_L201_ *) % 0.77/0.96 assert (zenon_L202_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H67 zenon_H150 zenon_H42 zenon_Hfe zenon_Hfa zenon_H7 zenon_H3 zenon_H208 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H177 zenon_Ha1 zenon_H90 zenon_Hf7 zenon_H16d zenon_H44 zenon_H45 zenon_H46 zenon_Hd6 zenon_H7c zenon_He2 zenon_He5 zenon_He9 zenon_Hec zenon_H16f zenon_H31 zenon_H6b zenon_H6f. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.77/0.96 apply (zenon_L35_); trivial. % 0.77/0.96 apply (zenon_L201_); trivial. % 0.77/0.96 (* end of lemma zenon_L202_ *) % 0.77/0.96 assert (zenon_L203_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H151 zenon_H150 zenon_Hfe zenon_Hfa zenon_H7 zenon_H3 zenon_H208 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H177 zenon_Ha1 zenon_H90 zenon_Hf7 zenon_H16d zenon_Hd6 zenon_H7c zenon_He2 zenon_He5 zenon_He9 zenon_Hec zenon_H16f zenon_H6b zenon_H6f zenon_H24 zenon_H20 zenon_H1d zenon_Hb zenon_Hf zenon_H31 zenon_H3e zenon_H42 zenon_H6a. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.96 apply (zenon_L32_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.96 apply (zenon_L13_); trivial. % 0.77/0.96 apply (zenon_L202_); trivial. % 0.77/0.96 (* end of lemma zenon_L203_ *) % 0.77/0.96 assert (zenon_L204_ : ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a275)))/\((~(c2_1 (a275)))/\(~(c3_1 (a275))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a271))) -> (~(c1_1 (a271))) -> (~(c0_1 (a271))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp22)\/(hskp0))) -> (~(hskp7)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H14d zenon_H122 zenon_H11f zenon_H189 zenon_H188 zenon_H187 zenon_H6a zenon_H42 zenon_H3e zenon_H31 zenon_Hf zenon_Hb zenon_H1d zenon_H20 zenon_H24 zenon_H16f zenon_H1b6 zenon_H14f zenon_H1dc zenon_H204 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H208 zenon_H19a zenon_H3 zenon_H7 zenon_Hfa zenon_Hfe zenon_H151. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.96 apply (zenon_L32_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.96 apply (zenon_L4_); trivial. % 0.77/0.96 apply (zenon_L176_); trivial. % 0.77/0.96 apply (zenon_L68_); trivial. % 0.77/0.96 apply (zenon_L122_); trivial. % 0.77/0.96 (* end of lemma zenon_L204_ *) % 0.77/0.96 assert (zenon_L205_ : (forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47)))))) -> (ndr1_0) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1f3 zenon_H12 zenon_H211 zenon_H212 zenon_H213. % 0.77/0.96 generalize (zenon_H1f3 (a269)). zenon_intro zenon_H214. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H214); [ zenon_intro zenon_H11 | zenon_intro zenon_H215 ]. % 0.77/0.96 exact (zenon_H11 zenon_H12). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H217 | zenon_intro zenon_H216 ]. % 0.77/0.96 exact (zenon_H211 zenon_H217). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H219 | zenon_intro zenon_H218 ]. % 0.77/0.96 exact (zenon_H212 zenon_H219). % 0.77/0.96 exact (zenon_H218 zenon_H213). % 0.77/0.96 (* end of lemma zenon_L205_ *) % 0.77/0.96 assert (zenon_L206_ : ((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp18)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H61 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H5. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H12. zenon_intro zenon_H63. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H54. zenon_intro zenon_H64. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H55. zenon_intro zenon_H56. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H207 ]. % 0.77/0.96 apply (zenon_L205_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H53 | zenon_intro zenon_H6 ]. % 0.77/0.96 apply (zenon_L26_); trivial. % 0.77/0.96 exact (zenon_H5 zenon_H6). % 0.77/0.96 (* end of lemma zenon_L206_ *) % 0.77/0.96 assert (zenon_L207_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (ndr1_0) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H66 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_H12 zenon_H44 zenon_H45 zenon_H46 zenon_H4f zenon_H51. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.77/0.96 apply (zenon_L25_); trivial. % 0.77/0.96 apply (zenon_L206_); trivial. % 0.77/0.96 (* end of lemma zenon_L207_ *) % 0.77/0.96 assert (zenon_L208_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp7)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H170 zenon_H208 zenon_H213 zenon_H212 zenon_H211 zenon_H3. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H209 ]. % 0.77/0.96 apply (zenon_L205_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H4 ]. % 0.77/0.96 apply (zenon_L152_); trivial. % 0.77/0.96 exact (zenon_H3 zenon_H4). % 0.77/0.96 (* end of lemma zenon_L208_ *) % 0.77/0.96 assert (zenon_L209_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H151 zenon_H16f zenon_H208 zenon_H3 zenon_H51 zenon_H4f zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H66 zenon_H24 zenon_H20 zenon_H1d zenon_Hb zenon_Hf zenon_H31 zenon_H3e zenon_H42 zenon_H6a. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.96 apply (zenon_L32_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.96 apply (zenon_L207_); trivial. % 0.77/0.96 apply (zenon_L208_); trivial. % 0.77/0.96 (* end of lemma zenon_L209_ *) % 0.77/0.96 assert (zenon_L210_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (c1_1 (a286)) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c0_1 (a286))) -> (c3_1 (a286)) -> False). % 0.77/0.96 do 0 intro. intros zenon_Ha3 zenon_H12 zenon_H80 zenon_H1bc zenon_H7f zenon_H81. % 0.77/0.96 generalize (zenon_Ha3 (a286)). zenon_intro zenon_H21a. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H21a); [ zenon_intro zenon_H11 | zenon_intro zenon_H21b ]. % 0.77/0.96 exact (zenon_H11 zenon_H12). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H87 | zenon_intro zenon_H21c ]. % 0.77/0.96 exact (zenon_H87 zenon_H80). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H21d | zenon_intro zenon_H86 ]. % 0.77/0.96 generalize (zenon_H1bc (a286)). zenon_intro zenon_H21e. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H21e); [ zenon_intro zenon_H11 | zenon_intro zenon_H21f ]. % 0.77/0.96 exact (zenon_H11 zenon_H12). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H85 | zenon_intro zenon_H220 ]. % 0.77/0.96 exact (zenon_H7f zenon_H85). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H221 | zenon_intro zenon_H86 ]. % 0.77/0.96 exact (zenon_H21d zenon_H221). % 0.77/0.96 exact (zenon_H86 zenon_H81). % 0.77/0.96 exact (zenon_H86 zenon_H81). % 0.77/0.96 (* end of lemma zenon_L210_ *) % 0.77/0.96 assert (zenon_L211_ : ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (c3_1 (a286)) -> (~(c0_1 (a286))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (c1_1 (a286)) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp20)) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hb2 zenon_H81 zenon_H7f zenon_H1bc zenon_H80 zenon_H12 zenon_Had zenon_Haf. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 0.77/0.96 apply (zenon_L210_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb0 ]. % 0.77/0.96 exact (zenon_Had zenon_Hae). % 0.77/0.96 exact (zenon_Haf zenon_Hb0). % 0.77/0.96 (* end of lemma zenon_L211_ *) % 0.77/0.96 assert (zenon_L212_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp20)) -> (~(hskp19)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (c3_1 (a286)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1c9 zenon_Haf zenon_Had zenon_H80 zenon_H7f zenon_H81 zenon_Hb2 zenon_H161 zenon_H160 zenon_H15f zenon_H12 zenon_H1c7. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1ca ]. % 0.77/0.96 apply (zenon_L211_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c8 ]. % 0.77/0.96 apply (zenon_L152_); trivial. % 0.77/0.96 exact (zenon_H1c7 zenon_H1c8). % 0.77/0.96 (* end of lemma zenon_L212_ *) % 0.77/0.96 assert (zenon_L213_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (c3_1 (a286)) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (ndr1_0) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hed zenon_H66 zenon_H9f zenon_H6b zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H44 zenon_H45 zenon_H46 zenon_H4f zenon_H51 zenon_Hb2 zenon_Had zenon_H81 zenon_H7f zenon_H80 zenon_H12 zenon_H15f zenon_H160 zenon_H161 zenon_H1c7 zenon_H1c9. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.96 apply (zenon_L212_); trivial. % 0.77/0.96 apply (zenon_L54_); trivial. % 0.77/0.96 (* end of lemma zenon_L213_ *) % 0.77/0.96 assert (zenon_L214_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp16)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (~(hskp6)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H9f zenon_H1 zenon_H44 zenon_H46 zenon_H15f zenon_H160 zenon_H161 zenon_H90 zenon_H93 zenon_H92 zenon_H12 zenon_H9b zenon_H6b. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.77/0.96 apply (zenon_L100_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.77/0.96 apply (zenon_L43_); trivial. % 0.77/0.96 exact (zenon_H6b zenon_H6c). % 0.77/0.96 (* end of lemma zenon_L214_ *) % 0.77/0.96 assert (zenon_L215_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp21)) -> (~(c3_1 (a303))) -> (c1_1 (a303)) -> (c2_1 (a303)) -> (c2_1 (a280)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp16)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.77/0.96 do 0 intro. intros zenon_Ha1 zenon_Hd4 zenon_Hcb zenon_Hcc zenon_Hcd zenon_H45 zenon_Hd6 zenon_H81 zenon_H80 zenon_H7f zenon_H9f zenon_H1 zenon_H44 zenon_H46 zenon_H15f zenon_H160 zenon_H161 zenon_H90 zenon_H93 zenon_H92 zenon_H12 zenon_H6b. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.96 apply (zenon_L58_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.96 apply (zenon_L39_); trivial. % 0.77/0.96 apply (zenon_L214_); trivial. % 0.77/0.96 (* end of lemma zenon_L215_ *) % 0.77/0.96 assert (zenon_L216_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp16)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c2_1 (a304)) -> (c1_1 (a304)) -> (c0_1 (a304)) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H9f zenon_H1 zenon_H44 zenon_H46 zenon_H9b zenon_H15f zenon_H160 zenon_H161 zenon_H90 zenon_H56 zenon_H55 zenon_H54 zenon_H12 zenon_H6b. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.77/0.96 apply (zenon_L100_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.77/0.96 apply (zenon_L26_); trivial. % 0.77/0.96 exact (zenon_H6b zenon_H6c). % 0.77/0.96 (* end of lemma zenon_L216_ *) % 0.77/0.96 assert (zenon_L217_ : ((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a280)) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp16)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(hskp6)) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hb1 zenon_Ha1 zenon_H45 zenon_Hd9 zenon_Hda zenon_Hdb zenon_He2 zenon_H81 zenon_H80 zenon_H7f zenon_H9f zenon_H1 zenon_H44 zenon_H46 zenon_H15f zenon_H160 zenon_H161 zenon_H90 zenon_H93 zenon_H92 zenon_H6b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.96 apply (zenon_L61_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.96 apply (zenon_L39_); trivial. % 0.77/0.96 apply (zenon_L214_); trivial. % 0.77/0.96 (* end of lemma zenon_L217_ *) % 0.77/0.96 assert (zenon_L218_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (ndr1_0) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (~(c0_1 (a305))) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp27)) -> (~(hskp1)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H14b zenon_H93 zenon_H92 zenon_Hc1 zenon_H12 zenon_H44 zenon_H46 zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_Hc5 zenon_H7a zenon_Hb. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H89 | zenon_intro zenon_H14c ]. % 0.77/0.96 apply (zenon_L52_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H7b | zenon_intro zenon_Hc ]. % 0.77/0.96 exact (zenon_H7a zenon_H7b). % 0.77/0.96 exact (zenon_Hb zenon_Hc). % 0.77/0.96 (* end of lemma zenon_L218_ *) % 0.77/0.96 assert (zenon_L219_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (c2_1 (a280)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (~(c0_1 (a305))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1))) -> False). % 0.77/0.96 do 0 intro. intros zenon_He4 zenon_He5 zenon_Ha1 zenon_H90 zenon_H1 zenon_H161 zenon_H160 zenon_H15f zenon_H6b zenon_H9f zenon_H81 zenon_H80 zenon_H7f zenon_H45 zenon_He2 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H44 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_Hb zenon_H14b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/0.96 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/0.96 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/0.96 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.96 apply (zenon_L218_); trivial. % 0.77/0.96 apply (zenon_L217_); trivial. % 0.77/0.96 (* end of lemma zenon_L219_ *) % 0.77/0.96 assert (zenon_L220_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c3_1 (a274))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c2_1 (a303)) -> (c1_1 (a303)) -> (~(c3_1 (a303))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a286)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hc7 zenon_He9 zenon_He5 zenon_He2 zenon_Hc5 zenon_Hc1 zenon_Hb zenon_H14b zenon_Hd6 zenon_Hcd zenon_Hcc zenon_Hcb zenon_H46 zenon_H45 zenon_H44 zenon_H7f zenon_H80 zenon_H81 zenon_H9f zenon_H6b zenon_H93 zenon_H92 zenon_H15f zenon_H160 zenon_H161 zenon_H1 zenon_H90 zenon_Ha1. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/0.96 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.96 apply (zenon_L215_); trivial. % 0.77/0.96 apply (zenon_L219_); trivial. % 0.77/0.96 (* end of lemma zenon_L220_ *) % 0.77/0.96 assert (zenon_L221_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c3_1 (a274))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_He8 zenon_Hed zenon_Hc5 zenon_Hc1 zenon_Hb zenon_H14b zenon_Ha1 zenon_H90 zenon_H1 zenon_H161 zenon_H160 zenon_H15f zenon_H92 zenon_H93 zenon_H6b zenon_H9f zenon_H81 zenon_H80 zenon_H7f zenon_H44 zenon_H45 zenon_H46 zenon_Hd6 zenon_H66 zenon_H33 zenon_H34 zenon_H35 zenon_H7c zenon_H20a zenon_He2 zenon_He5 zenon_He9. % 0.77/0.96 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.96 apply (zenon_L215_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/0.96 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/0.96 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/0.96 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.77/0.96 apply (zenon_L178_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H12. zenon_intro zenon_H63. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H54. zenon_intro zenon_H64. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H55. zenon_intro zenon_H56. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.96 apply (zenon_L38_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.96 apply (zenon_L39_); trivial. % 0.77/0.96 apply (zenon_L216_); trivial. % 0.77/0.96 apply (zenon_L217_); trivial. % 0.77/0.96 apply (zenon_L220_); trivial. % 0.77/0.96 (* end of lemma zenon_L221_ *) % 0.77/0.96 assert (zenon_L222_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (c3_1 (a286)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H170 zenon_Hec zenon_Hb zenon_H14b zenon_Ha1 zenon_H90 zenon_H1 zenon_Hd6 zenon_H33 zenon_H34 zenon_H35 zenon_H7c zenon_H20a zenon_He2 zenon_He5 zenon_He9 zenon_H1c9 zenon_H1c7 zenon_H80 zenon_H7f zenon_H81 zenon_Hb2 zenon_H51 zenon_H4f zenon_H46 zenon_H45 zenon_H44 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H6b zenon_H9f zenon_H66 zenon_Hed. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.96 apply (zenon_L213_); trivial. % 0.77/0.96 apply (zenon_L221_); trivial. % 0.77/0.96 (* end of lemma zenon_L222_ *) % 0.77/0.96 assert (zenon_L223_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp16)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a286)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.77/0.96 do 0 intro. intros zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H9f zenon_H1 zenon_H44 zenon_H46 zenon_H7f zenon_H80 zenon_H81 zenon_H90 zenon_H93 zenon_H92 zenon_H12 zenon_H6b. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.96 apply (zenon_L142_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.96 apply (zenon_L39_); trivial. % 0.77/0.96 apply (zenon_L44_); trivial. % 0.77/0.96 (* end of lemma zenon_L223_ *) % 0.77/0.96 assert (zenon_L224_ : ((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a280)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> ((hskp12)\/((hskp1)\/(hskp26))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H222 zenon_H6a zenon_H150 zenon_Hfe zenon_Hfa zenon_Hf7 zenon_H45 zenon_H9f zenon_H93 zenon_H92 zenon_H44 zenon_H46 zenon_H90 zenon_Ha1 zenon_H6b zenon_H6f zenon_Hf zenon_Hb zenon_H1d zenon_H20 zenon_H24. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.96 apply (zenon_L13_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.77/0.96 apply (zenon_L35_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.96 apply (zenon_L223_); trivial. % 0.77/0.96 apply (zenon_L68_); trivial. % 0.77/0.96 (* end of lemma zenon_L224_ *) % 0.77/0.96 assert (zenon_L225_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (c2_1 (a284)) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a286)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_He8 zenon_He9 zenon_He5 zenon_He2 zenon_H129 zenon_H28 zenon_H27 zenon_H26 zenon_H118 zenon_H117 zenon_H116 zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_H13c zenon_Hd6 zenon_H46 zenon_H45 zenon_H44 zenon_H7f zenon_H80 zenon_H81 zenon_H9f zenon_H6b zenon_H93 zenon_H92 zenon_H15f zenon_H160 zenon_H161 zenon_H1 zenon_H90 zenon_Ha1. % 0.77/0.96 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/0.96 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.96 apply (zenon_L215_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/0.96 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/0.96 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/0.96 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.96 apply (zenon_L84_); trivial. % 0.77/0.96 apply (zenon_L217_); trivial. % 0.77/0.96 (* end of lemma zenon_L225_ *) % 0.77/0.96 assert (zenon_L226_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (c2_1 (a284)) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (c3_1 (a286)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H170 zenon_Hec zenon_He9 zenon_He5 zenon_He2 zenon_H129 zenon_H28 zenon_H27 zenon_H26 zenon_H118 zenon_H117 zenon_H116 zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_H13c zenon_Hd6 zenon_H1c9 zenon_H1c7 zenon_H80 zenon_H7f zenon_H81 zenon_Hb2 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H45 zenon_H44 zenon_Hee zenon_Hef zenon_Hf0 zenon_Ha1 zenon_Hed. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.96 apply (zenon_L212_); trivial. % 0.77/0.96 apply (zenon_L95_); trivial. % 0.77/0.96 apply (zenon_L88_); trivial. % 0.77/0.96 (* end of lemma zenon_L226_ *) % 0.77/0.96 assert (zenon_L227_ : ((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> ((hskp12)\/((hskp1)\/(hskp26))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H222 zenon_H6a zenon_H150 zenon_Hfe zenon_H9f zenon_H93 zenon_H92 zenon_H44 zenon_H46 zenon_H90 zenon_Ha1 zenon_H6b zenon_H6f zenon_Hf zenon_Hb zenon_H1d zenon_H20 zenon_H24. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.96 apply (zenon_L13_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.77/0.96 apply (zenon_L35_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.96 apply (zenon_L223_); trivial. % 0.77/0.96 apply (zenon_L158_); trivial. % 0.77/0.96 (* end of lemma zenon_L227_ *) % 0.77/0.96 assert (zenon_L228_ : ((~(hskp7))\/((ndr1_0)/\((c0_1 (a274))/\((c1_1 (a274))/\(~(c3_1 (a274))))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a275)))/\((~(c2_1 (a275)))/\(~(c3_1 (a275))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H225 zenon_H14d zenon_H129 zenon_H13c zenon_H150 zenon_Hfe zenon_Hfa zenon_Hed zenon_H9f zenon_Hc5 zenon_Hb2 zenon_H1c9 zenon_He9 zenon_He5 zenon_He2 zenon_H20a zenon_H7c zenon_Hd6 zenon_H90 zenon_Ha1 zenon_H14b zenon_Hec zenon_H6b zenon_H6f zenon_H226 zenon_H6a zenon_H42 zenon_H3e zenon_H31 zenon_Hf zenon_Hb zenon_H1d zenon_H20 zenon_H24 zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H4f zenon_H51 zenon_H208 zenon_H16f zenon_H151. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.77/0.96 apply (zenon_L209_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.96 apply (zenon_L32_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.96 apply (zenon_L13_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.77/0.96 apply (zenon_L35_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.96 apply (zenon_L16_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.96 apply (zenon_L207_); trivial. % 0.77/0.96 apply (zenon_L222_); trivial. % 0.77/0.96 apply (zenon_L68_); trivial. % 0.77/0.96 apply (zenon_L224_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.96 apply (zenon_L32_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.96 apply (zenon_L13_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.77/0.96 apply (zenon_L35_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.96 apply (zenon_L16_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.96 apply (zenon_L207_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.96 apply (zenon_L213_); trivial. % 0.77/0.96 apply (zenon_L225_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.96 apply (zenon_L207_); trivial. % 0.77/0.96 apply (zenon_L226_); trivial. % 0.77/0.96 apply (zenon_L227_); trivial. % 0.77/0.96 (* end of lemma zenon_L228_ *) % 0.77/0.96 assert (zenon_L229_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp16)) -> (~(hskp7)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H16f zenon_H208 zenon_H213 zenon_H212 zenon_H211 zenon_H1 zenon_H3 zenon_H7. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.96 apply (zenon_L4_); trivial. % 0.77/0.96 apply (zenon_L208_); trivial. % 0.77/0.96 (* end of lemma zenon_L229_ *) % 0.77/0.96 assert (zenon_L230_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a286)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (c2_1 (a284)) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hf9 zenon_Hec zenon_He9 zenon_He5 zenon_He2 zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_Hd6 zenon_H46 zenon_H45 zenon_H44 zenon_H7f zenon_H80 zenon_H81 zenon_Ha1 zenon_H129 zenon_H28 zenon_H27 zenon_H26 zenon_H118 zenon_H117 zenon_H116 zenon_H3 zenon_H177 zenon_H13c. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.96 apply (zenon_L105_); trivial. % 0.77/0.96 apply (zenon_L88_); trivial. % 0.77/0.96 (* end of lemma zenon_L230_ *) % 0.77/0.96 assert (zenon_L231_ : ((ndr1_0)/\((~(c0_1 (a275)))/\((~(c2_1 (a275)))/\(~(c3_1 (a275)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> (~(hskp0)) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H152 zenon_H151 zenon_H150 zenon_Hfe zenon_Hec zenon_He9 zenon_He5 zenon_He2 zenon_H7c zenon_Hd6 zenon_Ha1 zenon_H129 zenon_H177 zenon_H13c zenon_H7 zenon_H3 zenon_H211 zenon_H212 zenon_H213 zenon_H208 zenon_H16f zenon_H6b zenon_H6f zenon_H24 zenon_H20 zenon_H1d zenon_Hb zenon_Hf zenon_H31 zenon_H3e zenon_H42 zenon_H6a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.96 apply (zenon_L32_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.96 apply (zenon_L13_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.77/0.96 apply (zenon_L35_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.96 apply (zenon_L16_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.96 apply (zenon_L229_); trivial. % 0.77/0.96 apply (zenon_L230_); trivial. % 0.77/0.96 (* end of lemma zenon_L231_ *) % 0.77/0.96 assert (zenon_L232_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a276))) -> (c1_1 (a276)) -> (c3_1 (a276)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H7e zenon_H12 zenon_H227 zenon_Ha4 zenon_Ha6. % 0.77/0.96 generalize (zenon_H7e (a276)). zenon_intro zenon_H228. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H228); [ zenon_intro zenon_H11 | zenon_intro zenon_H229 ]. % 0.77/0.96 exact (zenon_H11 zenon_H12). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H22b | zenon_intro zenon_H22a ]. % 0.77/0.96 exact (zenon_H227 zenon_H22b). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_Haa | zenon_intro zenon_Hab ]. % 0.77/0.96 exact (zenon_Haa zenon_Ha4). % 0.77/0.96 exact (zenon_Hab zenon_Ha6). % 0.77/0.96 (* end of lemma zenon_L232_ *) % 0.77/0.96 assert (zenon_L233_ : (forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c1_1 (a276)) -> (c3_1 (a276)) -> (c2_1 (a276)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H53 zenon_H12 zenon_H7e zenon_Ha4 zenon_Ha6 zenon_Ha5. % 0.77/0.96 generalize (zenon_H53 (a276)). zenon_intro zenon_H22c. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H22c); [ zenon_intro zenon_H11 | zenon_intro zenon_H22d ]. % 0.77/0.96 exact (zenon_H11 zenon_H12). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H227 | zenon_intro zenon_H22e ]. % 0.77/0.96 apply (zenon_L232_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_Haa | zenon_intro zenon_Hac ]. % 0.77/0.96 exact (zenon_Haa zenon_Ha4). % 0.77/0.96 exact (zenon_Hac zenon_Ha5). % 0.77/0.96 (* end of lemma zenon_L233_ *) % 0.77/0.96 assert (zenon_L234_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (c2_1 (a276)) -> (c3_1 (a276)) -> (c1_1 (a276)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_Ha5 zenon_Ha6 zenon_Ha4 zenon_H7e zenon_H12 zenon_H5. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H207 ]. % 0.77/0.96 apply (zenon_L205_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H53 | zenon_intro zenon_H6 ]. % 0.77/0.96 apply (zenon_L233_); trivial. % 0.77/0.96 exact (zenon_H5 zenon_H6). % 0.77/0.96 (* end of lemma zenon_L234_ *) % 0.77/0.96 assert (zenon_L235_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp18)) -> (c1_1 (a276)) -> (c3_1 (a276)) -> (c2_1 (a276)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c3_1 (a280)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (~(c1_1 (a280))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H90 zenon_H5 zenon_Ha4 zenon_Ha6 zenon_Ha5 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H46 zenon_H89 zenon_H44 zenon_H12 zenon_H1. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.77/0.96 apply (zenon_L234_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.77/0.96 apply (zenon_L40_); trivial. % 0.77/0.96 exact (zenon_H1 zenon_H2). % 0.77/0.96 (* end of lemma zenon_L235_ *) % 0.77/0.96 assert (zenon_L236_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp16)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (c2_1 (a276)) -> (c3_1 (a276)) -> (c1_1 (a276)) -> (~(hskp18)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (~(hskp6)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H9f zenon_H1 zenon_H44 zenon_H46 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_Ha5 zenon_Ha6 zenon_Ha4 zenon_H5 zenon_H90 zenon_H93 zenon_H92 zenon_H12 zenon_H9b zenon_H6b. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.77/0.96 apply (zenon_L235_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.77/0.96 apply (zenon_L43_); trivial. % 0.77/0.96 exact (zenon_H6b zenon_H6c). % 0.77/0.96 (* end of lemma zenon_L236_ *) % 0.77/0.96 assert (zenon_L237_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c2_1 (a280)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1))) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hc7 zenon_He5 zenon_Ha1 zenon_H90 zenon_H1 zenon_H6b zenon_H9f zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H45 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H44 zenon_Hb zenon_H14b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/0.96 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.96 apply (zenon_L218_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.96 apply (zenon_L94_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.96 apply (zenon_L234_); trivial. % 0.77/0.96 apply (zenon_L236_); trivial. % 0.77/0.96 (* end of lemma zenon_L237_ *) % 0.77/0.96 assert (zenon_L238_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c2_1 (a280)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hed zenon_Ha1 zenon_H90 zenon_H1 zenon_H6b zenon_H9f zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H45 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H44 zenon_Hb zenon_H14b zenon_H113 zenon_Had zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hb2 zenon_He5. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.96 apply (zenon_L115_); trivial. % 0.77/0.96 apply (zenon_L237_); trivial. % 0.77/0.96 (* end of lemma zenon_L238_ *) % 0.77/0.96 assert (zenon_L239_ : ((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp21)) -> (~(c3_1 (a303))) -> (c1_1 (a303)) -> (c2_1 (a303)) -> (c2_1 (a280)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp16)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp18)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(hskp6)) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hb1 zenon_Ha1 zenon_Hd4 zenon_Hcb zenon_Hcc zenon_Hcd zenon_H45 zenon_Hd6 zenon_H9f zenon_H1 zenon_H44 zenon_H46 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H5 zenon_H90 zenon_H93 zenon_H92 zenon_H6b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.96 apply (zenon_L58_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.96 apply (zenon_L234_); trivial. % 0.77/0.96 apply (zenon_L236_); trivial. % 0.77/0.96 (* end of lemma zenon_L239_ *) % 0.77/0.96 assert (zenon_L240_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp20)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> False). % 0.77/0.96 do 0 intro. intros zenon_He4 zenon_H66 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_Haf zenon_H20a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/0.96 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/0.96 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.77/0.96 apply (zenon_L178_); trivial. % 0.77/0.96 apply (zenon_L206_); trivial. % 0.77/0.96 (* end of lemma zenon_L240_ *) % 0.77/0.96 assert (zenon_L241_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hed zenon_Ha1 zenon_H90 zenon_H1 zenon_H161 zenon_H160 zenon_H15f zenon_H6b zenon_H9f zenon_H81 zenon_H80 zenon_H7f zenon_H44 zenon_H45 zenon_H46 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H113 zenon_Had zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hb2 zenon_He5. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.96 apply (zenon_L115_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.96 apply (zenon_L94_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.96 apply (zenon_L39_); trivial. % 0.77/0.96 apply (zenon_L214_); trivial. % 0.77/0.96 (* end of lemma zenon_L241_ *) % 0.77/0.96 assert (zenon_L242_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a286)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H170 zenon_Hec zenon_Hb zenon_H14b zenon_Hd6 zenon_H66 zenon_H33 zenon_H34 zenon_H35 zenon_H7c zenon_H20a zenon_He2 zenon_He9 zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H45 zenon_H44 zenon_H7f zenon_H80 zenon_H81 zenon_H9f zenon_H6b zenon_H1 zenon_H90 zenon_Ha1 zenon_Hed. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.96 apply (zenon_L241_); trivial. % 0.77/0.96 apply (zenon_L221_); trivial. % 0.77/0.96 (* end of lemma zenon_L242_ *) % 0.77/0.96 assert (zenon_L243_ : (forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18)))))) -> (~(c3_1 (a303))) -> (c2_1 (a303)) -> (c1_1 (a303)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H53 zenon_H12 zenon_H25 zenon_Hcb zenon_Hcd zenon_Hcc. % 0.77/0.96 generalize (zenon_H53 (a303)). zenon_intro zenon_H22f. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H22f); [ zenon_intro zenon_H11 | zenon_intro zenon_H230 ]. % 0.77/0.96 exact (zenon_H11 zenon_H12). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H1e8 | zenon_intro zenon_Hd0 ]. % 0.77/0.96 apply (zenon_L165_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd2 ]. % 0.77/0.96 exact (zenon_Hd3 zenon_Hcc). % 0.77/0.96 exact (zenon_Hd2 zenon_Hcd). % 0.77/0.96 (* end of lemma zenon_L243_ *) % 0.77/0.96 assert (zenon_L244_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (c1_1 (a303)) -> (c2_1 (a303)) -> (~(c3_1 (a303))) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18)))))) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_Hcc zenon_Hcd zenon_Hcb zenon_H25 zenon_H12 zenon_H5. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H207 ]. % 0.77/0.96 apply (zenon_L205_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H53 | zenon_intro zenon_H6 ]. % 0.77/0.96 apply (zenon_L243_); trivial. % 0.77/0.96 exact (zenon_H5 zenon_H6). % 0.77/0.96 (* end of lemma zenon_L244_ *) % 0.77/0.96 assert (zenon_L245_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (~(hskp18)) -> (ndr1_0) -> (~(c3_1 (a303))) -> (c2_1 (a303)) -> (c1_1 (a303)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp28)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_H5 zenon_H12 zenon_Hcb zenon_Hcd zenon_Hcc zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H127. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H115 | zenon_intro zenon_H12a ]. % 0.77/0.96 apply (zenon_L76_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H25 | zenon_intro zenon_H128 ]. % 0.77/0.96 apply (zenon_L244_); trivial. % 0.77/0.96 exact (zenon_H127 zenon_H128). % 0.77/0.96 (* end of lemma zenon_L245_ *) % 0.77/0.96 assert (zenon_L246_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp27)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (ndr1_0) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c1_1 (a303)) -> (c2_1 (a303)) -> (~(c3_1 (a303))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H13c zenon_Ha1 zenon_H81 zenon_H80 zenon_H7f zenon_H33 zenon_H34 zenon_H35 zenon_H45 zenon_H46 zenon_H44 zenon_H7a zenon_H7c zenon_H12 zenon_H116 zenon_H117 zenon_H118 zenon_H206 zenon_H5 zenon_Hcc zenon_Hcd zenon_Hcb zenon_H213 zenon_H212 zenon_H211 zenon_H129. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/0.96 apply (zenon_L245_); trivial. % 0.77/0.96 apply (zenon_L83_); trivial. % 0.77/0.96 (* end of lemma zenon_L246_ *) % 0.77/0.96 assert (zenon_L247_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a274)) -> (c1_1 (a274)) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp21)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(c3_1 (a303))) -> (c2_1 (a303)) -> (c1_1 (a303)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (ndr1_0) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a286)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_He5 zenon_H90 zenon_H1 zenon_H92 zenon_H93 zenon_H6b zenon_H9f zenon_Hd4 zenon_Hd6 zenon_H129 zenon_H211 zenon_H212 zenon_H213 zenon_Hcb zenon_Hcd zenon_Hcc zenon_H5 zenon_H206 zenon_H118 zenon_H117 zenon_H116 zenon_H12 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H35 zenon_H34 zenon_H33 zenon_H7f zenon_H80 zenon_H81 zenon_Ha1 zenon_H13c. % 0.77/0.96 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.96 apply (zenon_L246_); trivial. % 0.77/0.96 apply (zenon_L239_); trivial. % 0.77/0.96 (* end of lemma zenon_L247_ *) % 0.77/0.96 assert (zenon_L248_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c2_1 (a280)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (~(c0_1 (a305))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1))) -> False). % 0.77/0.96 do 0 intro. intros zenon_He4 zenon_He5 zenon_Ha1 zenon_H90 zenon_H1 zenon_H6b zenon_H9f zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H45 zenon_He2 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H44 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_Hb zenon_H14b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/0.96 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/0.96 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/0.96 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.96 apply (zenon_L218_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.96 apply (zenon_L61_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.96 apply (zenon_L234_); trivial. % 0.77/0.96 apply (zenon_L236_); trivial. % 0.77/0.96 (* end of lemma zenon_L248_ *) % 0.77/0.96 assert (zenon_L249_ : ((ndr1_0)/\((c0_1 (a274))/\((c1_1 (a274))/\(~(c3_1 (a274)))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a275)))/\((~(c2_1 (a275)))/\(~(c3_1 (a275))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp0)\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (~(hskp6)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H184 zenon_H14d zenon_H129 zenon_H13c zenon_H6a zenon_H42 zenon_H3e zenon_H31 zenon_Hf zenon_Hb zenon_H1d zenon_H20 zenon_H24 zenon_H6f zenon_H6b zenon_H16f zenon_He2 zenon_Hed zenon_Ha1 zenon_H90 zenon_H9f zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_Hc5 zenon_H14b zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_Hb2 zenon_He5 zenon_He9 zenon_H66 zenon_H20a zenon_H7c zenon_Hd6 zenon_Hec zenon_Hfa zenon_Hfe zenon_H150 zenon_H151. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.96 apply (zenon_L32_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.96 apply (zenon_L13_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.77/0.96 apply (zenon_L35_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.96 apply (zenon_L16_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.96 apply (zenon_L238_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.96 apply (zenon_L45_); trivial. % 0.77/0.96 apply (zenon_L239_); trivial. % 0.77/0.96 apply (zenon_L240_); trivial. % 0.77/0.96 apply (zenon_L237_); trivial. % 0.77/0.96 apply (zenon_L242_); trivial. % 0.77/0.96 apply (zenon_L68_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.96 apply (zenon_L32_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.96 apply (zenon_L13_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.77/0.96 apply (zenon_L35_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.96 apply (zenon_L16_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.96 apply (zenon_L238_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.96 apply (zenon_L247_); trivial. % 0.77/0.96 apply (zenon_L240_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/0.96 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.96 apply (zenon_L247_); trivial. % 0.77/0.96 apply (zenon_L248_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.96 apply (zenon_L241_); trivial. % 0.77/0.96 apply (zenon_L225_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.96 apply (zenon_L115_); trivial. % 0.77/0.96 apply (zenon_L95_); trivial. % 0.77/0.96 apply (zenon_L88_); trivial. % 0.77/0.96 (* end of lemma zenon_L249_ *) % 0.77/0.96 assert (zenon_L250_ : ((hskp22)\/((hskp6)\/(hskp9))) -> (~(hskp22)) -> (~(hskp6)) -> (~(hskp9)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H231 zenon_H198 zenon_H6b zenon_H3c. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H199 | zenon_intro zenon_H232 ]. % 0.77/0.96 exact (zenon_H198 zenon_H199). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H6c | zenon_intro zenon_H3d ]. % 0.77/0.96 exact (zenon_H6b zenon_H6c). % 0.77/0.96 exact (zenon_H3c zenon_H3d). % 0.77/0.96 (* end of lemma zenon_L250_ *) % 0.77/0.96 assert (zenon_L251_ : (~(hskp24)) -> (hskp24) -> False). % 0.77/0.96 do 0 intro. intros zenon_H233 zenon_H234. % 0.77/0.96 exact (zenon_H233 zenon_H234). % 0.77/0.96 (* end of lemma zenon_L251_ *) % 0.77/0.96 assert (zenon_L252_ : ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> (c2_1 (a311)) -> (c0_1 (a311)) -> (~(c3_1 (a311))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp24)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H235 zenon_H1ad zenon_H1ac zenon_H1ab zenon_H12 zenon_Hd4 zenon_H233. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1aa | zenon_intro zenon_H236 ]. % 0.77/0.96 apply (zenon_L132_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H234 ]. % 0.77/0.96 exact (zenon_Hd4 zenon_Hd5). % 0.77/0.96 exact (zenon_H233 zenon_H234). % 0.77/0.96 (* end of lemma zenon_L252_ *) % 0.77/0.96 assert (zenon_L253_ : (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(c1_1 (a268))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H88 zenon_H12 zenon_H237 zenon_H13 zenon_H238 zenon_H239. % 0.77/0.96 generalize (zenon_H88 (a268)). zenon_intro zenon_H23a. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H23a); [ zenon_intro zenon_H11 | zenon_intro zenon_H23b ]. % 0.77/0.96 exact (zenon_H11 zenon_H12). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H23d | zenon_intro zenon_H23c ]. % 0.77/0.96 exact (zenon_H237 zenon_H23d). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H23f | zenon_intro zenon_H23e ]. % 0.77/0.96 generalize (zenon_H13 (a268)). zenon_intro zenon_H240. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H240); [ zenon_intro zenon_H11 | zenon_intro zenon_H241 ]. % 0.77/0.96 exact (zenon_H11 zenon_H12). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H243 | zenon_intro zenon_H242 ]. % 0.77/0.96 exact (zenon_H23f zenon_H243). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H23d | zenon_intro zenon_H244 ]. % 0.77/0.96 exact (zenon_H237 zenon_H23d). % 0.77/0.96 exact (zenon_H238 zenon_H244). % 0.77/0.96 exact (zenon_H23e zenon_H239). % 0.77/0.96 (* end of lemma zenon_L253_ *) % 0.77/0.96 assert (zenon_L254_ : (forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))) -> (ndr1_0) -> (~(c3_1 (a311))) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (c0_1 (a311)) -> (c2_1 (a311)) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hca zenon_H12 zenon_H1ab zenon_H105 zenon_H1ac zenon_H1ad. % 0.77/0.96 generalize (zenon_Hca (a311)). zenon_intro zenon_H245. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H245); [ zenon_intro zenon_H11 | zenon_intro zenon_H246 ]. % 0.77/0.96 exact (zenon_H11 zenon_H12). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H247 ]. % 0.77/0.96 exact (zenon_H1ab zenon_H1b1). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H248 | zenon_intro zenon_H1b2 ]. % 0.77/0.96 generalize (zenon_H105 (a311)). zenon_intro zenon_H249. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H249); [ zenon_intro zenon_H11 | zenon_intro zenon_H24a ]. % 0.77/0.96 exact (zenon_H11 zenon_H12). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H24c | zenon_intro zenon_H24b ]. % 0.77/0.96 exact (zenon_H248 zenon_H24c). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1b3 ]. % 0.77/0.96 exact (zenon_H1ab zenon_H1b1). % 0.77/0.96 exact (zenon_H1b3 zenon_H1ac). % 0.77/0.96 exact (zenon_H1b2 zenon_H1ad). % 0.77/0.96 (* end of lemma zenon_L254_ *) % 0.77/0.96 assert (zenon_L255_ : ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a268))) -> (c2_1 (a311)) -> (c0_1 (a311)) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(c3_1 (a311))) -> (ndr1_0) -> (~(hskp21)) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hd6 zenon_H239 zenon_H238 zenon_H13 zenon_H237 zenon_H1ad zenon_H1ac zenon_H105 zenon_H1ab zenon_H12 zenon_Hd4. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H88 | zenon_intro zenon_Hd7 ]. % 0.77/0.96 apply (zenon_L253_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 0.77/0.96 apply (zenon_L254_); trivial. % 0.77/0.96 exact (zenon_Hd4 zenon_Hd5). % 0.77/0.96 (* end of lemma zenon_L255_ *) % 0.77/0.96 assert (zenon_L256_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H24d zenon_H12 zenon_H237 zenon_H238 zenon_H239. % 0.77/0.96 generalize (zenon_H24d (a268)). zenon_intro zenon_H24e. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H24e); [ zenon_intro zenon_H11 | zenon_intro zenon_H24f ]. % 0.77/0.96 exact (zenon_H11 zenon_H12). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H23d | zenon_intro zenon_H250 ]. % 0.77/0.96 exact (zenon_H237 zenon_H23d). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H244 | zenon_intro zenon_H23e ]. % 0.77/0.96 exact (zenon_H238 zenon_H244). % 0.77/0.96 exact (zenon_H23e zenon_H239). % 0.77/0.96 (* end of lemma zenon_L256_ *) % 0.77/0.96 assert (zenon_L257_ : (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))) -> (ndr1_0) -> (~(c1_1 (a318))) -> (~(c3_1 (a318))) -> (c2_1 (a318)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H251 zenon_H12 zenon_H252 zenon_H253 zenon_H254. % 0.77/0.96 generalize (zenon_H251 (a318)). zenon_intro zenon_H255. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H255); [ zenon_intro zenon_H11 | zenon_intro zenon_H256 ]. % 0.77/0.96 exact (zenon_H11 zenon_H12). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H258 | zenon_intro zenon_H257 ]. % 0.77/0.96 exact (zenon_H252 zenon_H258). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H25a | zenon_intro zenon_H259 ]. % 0.77/0.96 exact (zenon_H253 zenon_H25a). % 0.77/0.96 exact (zenon_H259 zenon_H254). % 0.77/0.96 (* end of lemma zenon_L257_ *) % 0.77/0.96 assert (zenon_L258_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (~(hskp19)) -> (~(hskp27)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c2_1 (a311)) -> (c0_1 (a311)) -> (~(c3_1 (a311))) -> (~(hskp21)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (ndr1_0) -> (~(c1_1 (a318))) -> (~(c3_1 (a318))) -> (c2_1 (a318)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H25b zenon_Had zenon_H7a zenon_Hd6 zenon_H1ad zenon_H1ac zenon_H1ab zenon_Hd4 zenon_H113 zenon_H239 zenon_H238 zenon_H237 zenon_H12 zenon_H252 zenon_H253 zenon_H254. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H13 | zenon_intro zenon_H25c ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H105 | zenon_intro zenon_H114 ]. % 0.77/0.96 apply (zenon_L255_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H7b | zenon_intro zenon_Hae ]. % 0.77/0.96 exact (zenon_H7a zenon_H7b). % 0.77/0.96 exact (zenon_Had zenon_Hae). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H24d | zenon_intro zenon_H251 ]. % 0.77/0.96 apply (zenon_L256_); trivial. % 0.77/0.96 apply (zenon_L257_); trivial. % 0.77/0.96 (* end of lemma zenon_L258_ *) % 0.77/0.96 assert (zenon_L259_ : ((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (~(hskp21)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1b7 zenon_H25d zenon_He5 zenon_Hb2 zenon_Haf zenon_H113 zenon_Had zenon_H237 zenon_H238 zenon_H239 zenon_Hd6 zenon_H25b zenon_Hd4 zenon_H235. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H233 | zenon_intro zenon_H25e ]. % 0.77/0.96 apply (zenon_L252_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H12. zenon_intro zenon_H25f. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H260. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H252. zenon_intro zenon_H253. % 0.77/0.96 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.96 apply (zenon_L258_); trivial. % 0.77/0.96 apply (zenon_L49_); trivial. % 0.77/0.96 (* end of lemma zenon_L259_ *) % 0.77/0.96 assert (zenon_L260_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (~(hskp21)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> (~(hskp6)) -> (~(hskp9)) -> ((hskp22)\/((hskp6)\/(hskp9))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1b6 zenon_H25d zenon_He5 zenon_Hb2 zenon_Haf zenon_H113 zenon_Had zenon_H237 zenon_H238 zenon_H239 zenon_Hd6 zenon_H25b zenon_Hd4 zenon_H235 zenon_H6b zenon_H3c zenon_H231. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.96 apply (zenon_L250_); trivial. % 0.77/0.96 apply (zenon_L259_); trivial. % 0.77/0.96 (* end of lemma zenon_L260_ *) % 0.77/0.96 assert (zenon_L261_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (~(hskp20)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> False). % 0.77/0.96 do 0 intro. intros zenon_He4 zenon_H66 zenon_H62 zenon_H5f zenon_H5d zenon_Haf zenon_H20a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/0.96 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/0.96 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.77/0.96 apply (zenon_L178_); trivial. % 0.77/0.96 apply (zenon_L29_); trivial. % 0.77/0.96 (* end of lemma zenon_L261_ *) % 0.77/0.96 assert (zenon_L262_ : (~(hskp25)) -> (hskp25) -> False). % 0.77/0.96 do 0 intro. intros zenon_H261 zenon_H262. % 0.77/0.96 exact (zenon_H261 zenon_H262). % 0.77/0.96 (* end of lemma zenon_L262_ *) % 0.77/0.96 assert (zenon_L263_ : ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp14)) -> (~(hskp25)) -> (~(hskp12)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H263 zenon_H2f zenon_H261 zenon_H9. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H30 | zenon_intro zenon_H264 ]. % 0.77/0.96 exact (zenon_H2f zenon_H30). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H262 | zenon_intro zenon_Ha ]. % 0.77/0.96 exact (zenon_H261 zenon_H262). % 0.77/0.96 exact (zenon_H9 zenon_Ha). % 0.77/0.96 (* end of lemma zenon_L263_ *) % 0.77/0.96 assert (zenon_L264_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (ndr1_0) -> (~(c2_1 (a352))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19)))))) -> (c1_1 (a352)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H9b zenon_H12 zenon_H265 zenon_H32 zenon_H266. % 0.77/0.96 generalize (zenon_H9b (a352)). zenon_intro zenon_H267. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H267); [ zenon_intro zenon_H11 | zenon_intro zenon_H268 ]. % 0.77/0.96 exact (zenon_H11 zenon_H12). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H26a | zenon_intro zenon_H269 ]. % 0.77/0.96 exact (zenon_H265 zenon_H26a). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H26c | zenon_intro zenon_H26b ]. % 0.77/0.96 generalize (zenon_H32 (a352)). zenon_intro zenon_H26d. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H26d); [ zenon_intro zenon_H11 | zenon_intro zenon_H26e ]. % 0.77/0.96 exact (zenon_H11 zenon_H12). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H270 | zenon_intro zenon_H26f ]. % 0.77/0.96 exact (zenon_H26c zenon_H270). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H26a | zenon_intro zenon_H26b ]. % 0.77/0.96 exact (zenon_H265 zenon_H26a). % 0.77/0.96 exact (zenon_H26b zenon_H266). % 0.77/0.96 exact (zenon_H26b zenon_H266). % 0.77/0.96 (* end of lemma zenon_L264_ *) % 0.77/0.96 assert (zenon_L265_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c1_1 (a352)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19)))))) -> (~(c2_1 (a352))) -> (ndr1_0) -> (~(c3_1 (a303))) -> (c1_1 (a303)) -> (c2_1 (a303)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H266 zenon_H32 zenon_H265 zenon_H12 zenon_Hcb zenon_Hcc zenon_Hcd. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24d | zenon_intro zenon_H272 ]. % 0.77/0.96 apply (zenon_L256_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H9b | zenon_intro zenon_Hca ]. % 0.77/0.96 apply (zenon_L264_); trivial. % 0.77/0.96 apply (zenon_L56_); trivial. % 0.77/0.96 (* end of lemma zenon_L265_ *) % 0.77/0.96 assert (zenon_L266_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> False). % 0.77/0.96 do 0 intro. intros zenon_He8 zenon_H273 zenon_H3e zenon_H3c zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H2f zenon_H9 zenon_H263. % 0.77/0.97 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H261 | zenon_intro zenon_H274 ]. % 0.77/0.97 apply (zenon_L263_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H12. zenon_intro zenon_H275. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H266. zenon_intro zenon_H276. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H265. zenon_intro zenon_H277. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H32 | zenon_intro zenon_H3d ]. % 0.77/0.97 apply (zenon_L265_); trivial. % 0.77/0.97 exact (zenon_H3c zenon_H3d). % 0.77/0.97 (* end of lemma zenon_L266_ *) % 0.77/0.97 assert (zenon_L267_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((hskp0)\/(hskp10))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp10)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H278 zenon_H239 zenon_H238 zenon_H237 zenon_H12 zenon_H1d zenon_Hff. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H24d | zenon_intro zenon_H279 ]. % 0.77/0.97 apply (zenon_L256_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H1e | zenon_intro zenon_H100 ]. % 0.77/0.97 exact (zenon_H1d zenon_H1e). % 0.77/0.97 exact (zenon_Hff zenon_H100). % 0.77/0.97 (* end of lemma zenon_L267_ *) % 0.77/0.97 assert (zenon_L268_ : ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp29)) -> (~(hskp22)) -> (~(hskp11)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H27a zenon_H4d zenon_H198 zenon_H1c7. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H4e | zenon_intro zenon_H27b ]. % 0.77/0.97 exact (zenon_H4d zenon_H4e). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H199 | zenon_intro zenon_H1c8 ]. % 0.77/0.97 exact (zenon_H198 zenon_H199). % 0.77/0.97 exact (zenon_H1c7 zenon_H1c8). % 0.77/0.97 (* end of lemma zenon_L268_ *) % 0.77/0.97 assert (zenon_L269_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (~(hskp22)) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H66 zenon_H62 zenon_H5f zenon_H5d zenon_H198 zenon_H1c7 zenon_H27a. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.77/0.97 apply (zenon_L268_); trivial. % 0.77/0.97 apply (zenon_L29_); trivial. % 0.77/0.97 (* end of lemma zenon_L269_ *) % 0.77/0.97 assert (zenon_L270_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c1_1 (a293)) -> (c0_1 (a293)) -> (~(c2_1 (a293))) -> (ndr1_0) -> (~(c3_1 (a311))) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (c0_1 (a311)) -> (c2_1 (a311)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_Hf0 zenon_Hef zenon_Hee zenon_H12 zenon_H1ab zenon_H105 zenon_H1ac zenon_H1ad. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24d | zenon_intro zenon_H272 ]. % 0.77/0.97 apply (zenon_L256_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H9b | zenon_intro zenon_Hca ]. % 0.77/0.97 apply (zenon_L66_); trivial. % 0.77/0.97 apply (zenon_L254_); trivial. % 0.77/0.97 (* end of lemma zenon_L270_ *) % 0.77/0.97 assert (zenon_L271_ : ((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1b7 zenon_H1b4 zenon_H19f zenon_H19e zenon_H19d zenon_Hee zenon_Hef zenon_Hf0 zenon_H237 zenon_H238 zenon_H239 zenon_H271. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b5 ]. % 0.77/0.97 apply (zenon_L130_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H105 | zenon_intro zenon_H1aa ]. % 0.77/0.97 apply (zenon_L270_); trivial. % 0.77/0.97 apply (zenon_L132_); trivial. % 0.77/0.97 (* end of lemma zenon_L271_ *) % 0.77/0.97 assert (zenon_L272_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp3)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_Hf9 zenon_H1b6 zenon_H1b4 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H19f zenon_H19e zenon_H19d zenon_H27a zenon_H1c7 zenon_H5d zenon_H5f zenon_H62 zenon_H66. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.97 apply (zenon_L269_); trivial. % 0.77/0.97 apply (zenon_L271_); trivial. % 0.77/0.97 (* end of lemma zenon_L272_ *) % 0.77/0.97 assert (zenon_L273_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp3)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> (~(c0_1 (a281))) -> (~(c2_1 (a281))) -> (c3_1 (a281)) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_Hfe zenon_H1b6 zenon_H1b4 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H19f zenon_H19e zenon_H19d zenon_H27a zenon_H5d zenon_H5f zenon_H62 zenon_H66 zenon_H7 zenon_H3 zenon_H13f zenon_H15e zenon_H140 zenon_H1c7 zenon_H1c9 zenon_H16f. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.97 apply (zenon_L154_); trivial. % 0.77/0.97 apply (zenon_L272_); trivial. % 0.77/0.97 (* end of lemma zenon_L273_ *) % 0.77/0.97 assert (zenon_L274_ : (~(hskp15)) -> (hskp15) -> False). % 0.77/0.97 do 0 intro. intros zenon_H27c zenon_H27d. % 0.77/0.97 exact (zenon_H27c zenon_H27d). % 0.77/0.97 (* end of lemma zenon_L274_ *) % 0.77/0.97 assert (zenon_L275_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((hskp15)\/(hskp12))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp12)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H27e zenon_H19f zenon_H19e zenon_H19d zenon_H12 zenon_H27c zenon_H9. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H19c | zenon_intro zenon_H27f ]. % 0.77/0.97 apply (zenon_L130_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_H27d | zenon_intro zenon_Ha ]. % 0.77/0.97 exact (zenon_H27c zenon_H27d). % 0.77/0.97 exact (zenon_H9 zenon_Ha). % 0.77/0.97 (* end of lemma zenon_L275_ *) % 0.77/0.97 assert (zenon_L276_ : (~(hskp17)) -> (hskp17) -> False). % 0.77/0.97 do 0 intro. intros zenon_H280 zenon_H281. % 0.77/0.97 exact (zenon_H280 zenon_H281). % 0.77/0.97 (* end of lemma zenon_L276_ *) % 0.77/0.97 assert (zenon_L277_ : ((hskp30)\/((hskp14)\/(hskp17))) -> (~(hskp30)) -> (~(hskp14)) -> (~(hskp17)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H282 zenon_H283 zenon_H2f zenon_H280. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H285 | zenon_intro zenon_H284 ]. % 0.77/0.97 exact (zenon_H283 zenon_H285). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H30 | zenon_intro zenon_H281 ]. % 0.77/0.97 exact (zenon_H2f zenon_H30). % 0.77/0.97 exact (zenon_H280 zenon_H281). % 0.77/0.97 (* end of lemma zenon_L277_ *) % 0.77/0.97 assert (zenon_L278_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c0_1 (a291))) -> (~(c1_1 (a291))) -> (c2_1 (a291)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H71 zenon_H12 zenon_H286 zenon_H287 zenon_H288. % 0.77/0.97 generalize (zenon_H71 (a291)). zenon_intro zenon_H289. % 0.77/0.97 apply (zenon_imply_s _ _ zenon_H289); [ zenon_intro zenon_H11 | zenon_intro zenon_H28a ]. % 0.77/0.97 exact (zenon_H11 zenon_H12). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H28c | zenon_intro zenon_H28b ]. % 0.77/0.97 exact (zenon_H286 zenon_H28c). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H28e | zenon_intro zenon_H28d ]. % 0.77/0.97 exact (zenon_H287 zenon_H28e). % 0.77/0.97 exact (zenon_H28d zenon_H288). % 0.77/0.97 (* end of lemma zenon_L278_ *) % 0.77/0.97 assert (zenon_L279_ : (forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a291))) -> (c2_1 (a291)) -> (c3_1 (a291)) -> False). % 0.77/0.97 do 0 intro. intros zenon_Ha3 zenon_H12 zenon_H71 zenon_H286 zenon_H288 zenon_H28f. % 0.77/0.97 generalize (zenon_Ha3 (a291)). zenon_intro zenon_H290. % 0.77/0.97 apply (zenon_imply_s _ _ zenon_H290); [ zenon_intro zenon_H11 | zenon_intro zenon_H291 ]. % 0.77/0.97 exact (zenon_H11 zenon_H12). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H287 | zenon_intro zenon_H292 ]. % 0.77/0.97 apply (zenon_L278_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H28d | zenon_intro zenon_H293 ]. % 0.77/0.97 exact (zenon_H28d zenon_H288). % 0.77/0.97 exact (zenon_H293 zenon_H28f). % 0.77/0.97 (* end of lemma zenon_L279_ *) % 0.77/0.97 assert (zenon_L280_ : ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (c3_1 (a291)) -> (c2_1 (a291)) -> (~(c0_1 (a291))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp20)) -> False). % 0.77/0.97 do 0 intro. intros zenon_Hb2 zenon_H28f zenon_H288 zenon_H286 zenon_H71 zenon_H12 zenon_Had zenon_Haf. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Hb5 ]. % 0.77/0.97 apply (zenon_L279_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_Hae | zenon_intro zenon_Hb0 ]. % 0.77/0.97 exact (zenon_Had zenon_Hae). % 0.77/0.97 exact (zenon_Haf zenon_Hb0). % 0.77/0.97 (* end of lemma zenon_L280_ *) % 0.77/0.97 assert (zenon_L281_ : (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (~(c1_1 (a268))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H88 zenon_H12 zenon_H237 zenon_H1bc zenon_H238 zenon_H239. % 0.77/0.97 generalize (zenon_H88 (a268)). zenon_intro zenon_H23a. % 0.77/0.97 apply (zenon_imply_s _ _ zenon_H23a); [ zenon_intro zenon_H11 | zenon_intro zenon_H23b ]. % 0.77/0.97 exact (zenon_H11 zenon_H12). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H23d | zenon_intro zenon_H23c ]. % 0.77/0.97 exact (zenon_H237 zenon_H23d). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H23f | zenon_intro zenon_H23e ]. % 0.77/0.97 generalize (zenon_H1bc (a268)). zenon_intro zenon_H294. % 0.77/0.97 apply (zenon_imply_s _ _ zenon_H294); [ zenon_intro zenon_H11 | zenon_intro zenon_H295 ]. % 0.77/0.97 exact (zenon_H11 zenon_H12). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H243 | zenon_intro zenon_H250 ]. % 0.77/0.97 exact (zenon_H23f zenon_H243). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H244 | zenon_intro zenon_H23e ]. % 0.77/0.97 exact (zenon_H238 zenon_H244). % 0.77/0.97 exact (zenon_H23e zenon_H239). % 0.77/0.97 exact (zenon_H23e zenon_H239). % 0.77/0.97 (* end of lemma zenon_L281_ *) % 0.77/0.97 assert (zenon_L282_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c1_1 (a268))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H90 zenon_H161 zenon_H160 zenon_H15f zenon_H9b zenon_H239 zenon_H238 zenon_H1bc zenon_H237 zenon_H12 zenon_H1. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.77/0.97 apply (zenon_L99_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.77/0.97 apply (zenon_L281_); trivial. % 0.77/0.97 exact (zenon_H1 zenon_H2). % 0.77/0.97 (* end of lemma zenon_L282_ *) % 0.77/0.97 assert (zenon_L283_ : (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))) -> (c0_1 (a337)) -> (c3_1 (a337)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H88 zenon_H12 zenon_H173 zenon_H296 zenon_H297. % 0.77/0.97 generalize (zenon_H88 (a337)). zenon_intro zenon_H298. % 0.77/0.97 apply (zenon_imply_s _ _ zenon_H298); [ zenon_intro zenon_H11 | zenon_intro zenon_H299 ]. % 0.77/0.97 exact (zenon_H11 zenon_H12). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H29b | zenon_intro zenon_H29a ]. % 0.77/0.97 generalize (zenon_H173 (a337)). zenon_intro zenon_H29c. % 0.77/0.97 apply (zenon_imply_s _ _ zenon_H29c); [ zenon_intro zenon_H11 | zenon_intro zenon_H29d ]. % 0.77/0.97 exact (zenon_H11 zenon_H12). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_H29f | zenon_intro zenon_H29e ]. % 0.77/0.97 exact (zenon_H29f zenon_H296). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2a0 ]. % 0.77/0.97 exact (zenon_H2a1 zenon_H29b). % 0.77/0.97 exact (zenon_H2a0 zenon_H297). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H29f | zenon_intro zenon_H2a0 ]. % 0.77/0.97 exact (zenon_H29f zenon_H296). % 0.77/0.97 exact (zenon_H2a0 zenon_H297). % 0.77/0.97 (* end of lemma zenon_L283_ *) % 0.77/0.97 assert (zenon_L284_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (c3_1 (a337)) -> (c0_1 (a337)) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H90 zenon_H161 zenon_H160 zenon_H15f zenon_H9b zenon_H297 zenon_H296 zenon_H173 zenon_H12 zenon_H1. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.77/0.97 apply (zenon_L99_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.77/0.97 apply (zenon_L283_); trivial. % 0.77/0.97 exact (zenon_H1 zenon_H2). % 0.77/0.97 (* end of lemma zenon_L284_ *) % 0.77/0.97 assert (zenon_L285_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (c3_1 (a337)) -> (c0_1 (a337)) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_H90 zenon_H161 zenon_H160 zenon_H15f zenon_H9b zenon_H297 zenon_H296 zenon_H12 zenon_H1. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.77/0.97 apply (zenon_L282_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.77/0.97 apply (zenon_L99_); trivial. % 0.77/0.97 apply (zenon_L284_); trivial. % 0.77/0.97 (* end of lemma zenon_L285_ *) % 0.77/0.97 assert (zenon_L286_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a281))) -> (c3_1 (a281)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c0_1 (a291))) -> (c2_1 (a291)) -> (c3_1 (a291)) -> (~(hskp19)) -> (~(hskp20)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp14)) -> (~(hskp17)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H2a2 zenon_H1ba zenon_H5d zenon_H13f zenon_H140 zenon_H1d4 zenon_H15f zenon_H160 zenon_H161 zenon_H237 zenon_H238 zenon_H239 zenon_H1 zenon_H90 zenon_Ha1 zenon_H286 zenon_H288 zenon_H28f zenon_Had zenon_Haf zenon_Hb2 zenon_H2f zenon_H280 zenon_H282. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a3 ]. % 0.77/0.97 apply (zenon_L277_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H12. zenon_intro zenon_H2a4. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H296. zenon_intro zenon_H2a5. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H2a6. zenon_intro zenon_H297. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H71 | zenon_intro zenon_H1bb ]. % 0.77/0.97 apply (zenon_L280_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H89 | zenon_intro zenon_H5e ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.97 apply (zenon_L280_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.97 apply (zenon_L90_); trivial. % 0.77/0.97 apply (zenon_L285_); trivial. % 0.77/0.97 exact (zenon_H5d zenon_H5e). % 0.77/0.97 (* end of lemma zenon_L286_ *) % 0.77/0.97 assert (zenon_L287_ : (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(c0_1 (a295))) -> (~(c1_1 (a295))) -> (c3_1 (a295)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H89 zenon_H12 zenon_H2a7 zenon_H2a8 zenon_H2a9. % 0.77/0.97 generalize (zenon_H89 (a295)). zenon_intro zenon_H2aa. % 0.77/0.97 apply (zenon_imply_s _ _ zenon_H2aa); [ zenon_intro zenon_H11 | zenon_intro zenon_H2ab ]. % 0.77/0.97 exact (zenon_H11 zenon_H12). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2ac ]. % 0.77/0.97 exact (zenon_H2a7 zenon_H2ad). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H2af | zenon_intro zenon_H2ae ]. % 0.77/0.97 exact (zenon_H2a8 zenon_H2af). % 0.77/0.97 exact (zenon_H2ae zenon_H2a9). % 0.77/0.97 (* end of lemma zenon_L287_ *) % 0.77/0.97 assert (zenon_L288_ : ((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (~(hskp3)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H2b0 zenon_H1ba zenon_H1cd zenon_H1cc zenon_H1cb zenon_H5d. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H12. zenon_intro zenon_H2b1. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a9. zenon_intro zenon_H2b2. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2a7. zenon_intro zenon_H2a8. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H71 | zenon_intro zenon_H1bb ]. % 0.77/0.97 apply (zenon_L142_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H89 | zenon_intro zenon_H5e ]. % 0.77/0.97 apply (zenon_L287_); trivial. % 0.77/0.97 exact (zenon_H5d zenon_H5e). % 0.77/0.97 (* end of lemma zenon_L288_ *) % 0.77/0.97 assert (zenon_L289_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> (~(hskp16)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (c3_1 (a291)) -> (c2_1 (a291)) -> (~(c0_1 (a291))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a281)) -> (~(c0_1 (a281))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H2b3 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H7 zenon_H3 zenon_H1 zenon_Hed zenon_H3e zenon_H3c zenon_H31 zenon_H282 zenon_H2f zenon_Hb2 zenon_H28f zenon_H288 zenon_H286 zenon_Ha1 zenon_H90 zenon_H239 zenon_H238 zenon_H237 zenon_H1d4 zenon_H140 zenon_H13f zenon_H5d zenon_H1ba zenon_H2a2 zenon_H263 zenon_H9 zenon_H271 zenon_H273 zenon_Hec zenon_H16f. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H280 | zenon_intro zenon_H2b0 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.97 apply (zenon_L4_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.97 apply (zenon_L286_); trivial. % 0.77/0.97 apply (zenon_L163_); trivial. % 0.77/0.97 apply (zenon_L266_); trivial. % 0.77/0.97 apply (zenon_L288_); trivial. % 0.77/0.97 (* end of lemma zenon_L289_ *) % 0.77/0.97 assert (zenon_L290_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c3_1 (a273)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H7e zenon_H12 zenon_H19d zenon_H19e zenon_H2b4. % 0.77/0.97 generalize (zenon_H7e (a273)). zenon_intro zenon_H2b5. % 0.77/0.97 apply (zenon_imply_s _ _ zenon_H2b5); [ zenon_intro zenon_H11 | zenon_intro zenon_H2b6 ]. % 0.77/0.97 exact (zenon_H11 zenon_H12). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H2b7 ]. % 0.77/0.97 exact (zenon_H19d zenon_H1a3). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H2b8 ]. % 0.77/0.97 exact (zenon_H1a5 zenon_H19e). % 0.77/0.97 exact (zenon_H2b8 zenon_H2b4). % 0.77/0.97 (* end of lemma zenon_L290_ *) % 0.77/0.97 assert (zenon_L291_ : (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18)))))) -> (ndr1_0) -> (~(c0_1 (a273))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H25 zenon_H12 zenon_H19d zenon_H7e zenon_H19e zenon_H19f. % 0.77/0.97 generalize (zenon_H25 (a273)). zenon_intro zenon_H2b9. % 0.77/0.97 apply (zenon_imply_s _ _ zenon_H2b9); [ zenon_intro zenon_H11 | zenon_intro zenon_H2ba ]. % 0.77/0.97 exact (zenon_H11 zenon_H12). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H2bb ]. % 0.77/0.97 exact (zenon_H19d zenon_H1a3). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H2b4 | zenon_intro zenon_H1a4 ]. % 0.77/0.97 apply (zenon_L290_); trivial. % 0.77/0.97 exact (zenon_H1a4 zenon_H19f). % 0.77/0.97 (* end of lemma zenon_L291_ *) % 0.77/0.97 assert (zenon_L292_ : ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp14)) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(c0_1 (a273))) -> (ndr1_0) -> False). % 0.77/0.97 do 0 intro. intros zenon_H31 zenon_H2f zenon_H19f zenon_H19e zenon_H7e zenon_H19d zenon_H12. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H25 | zenon_intro zenon_H30 ]. % 0.77/0.97 apply (zenon_L291_); trivial. % 0.77/0.97 exact (zenon_H2f zenon_H30). % 0.77/0.97 (* end of lemma zenon_L292_ *) % 0.77/0.97 assert (zenon_L293_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> False). % 0.77/0.97 do 0 intro. intros zenon_Hf9 zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H19d zenon_H19e zenon_H19f zenon_H2f zenon_H31. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.97 apply (zenon_L142_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.97 apply (zenon_L292_); trivial. % 0.77/0.97 apply (zenon_L66_); trivial. % 0.77/0.97 (* end of lemma zenon_L293_ *) % 0.77/0.97 assert (zenon_L294_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp8)) -> (~(hskp8)) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (ndr1_0) -> False). % 0.77/0.97 do 0 intro. intros zenon_H2bc zenon_Hf7 zenon_H239 zenon_H238 zenon_H237 zenon_H12. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H24d | zenon_intro zenon_Hf8 ]. % 0.77/0.97 apply (zenon_L256_); trivial. % 0.77/0.97 exact (zenon_Hf7 zenon_Hf8). % 0.77/0.97 (* end of lemma zenon_L294_ *) % 0.77/0.97 assert (zenon_L295_ : ((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H139 zenon_H1d4 zenon_H140 zenon_H15e zenon_H13f zenon_H19d zenon_H19e zenon_H19f zenon_H2f zenon_H31. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.77/0.97 apply (zenon_L137_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.77/0.97 apply (zenon_L292_); trivial. % 0.77/0.97 apply (zenon_L103_); trivial. % 0.77/0.97 (* end of lemma zenon_L295_ *) % 0.77/0.97 assert (zenon_L296_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> (~(hskp23)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H13c zenon_H1d4 zenon_H19d zenon_H19e zenon_H19f zenon_H2f zenon_H31 zenon_H140 zenon_H15e zenon_H13f zenon_H12 zenon_Hc1 zenon_H92 zenon_H93 zenon_H101 zenon_H13d. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/0.97 apply (zenon_L89_); trivial. % 0.77/0.97 apply (zenon_L295_); trivial. % 0.77/0.97 (* end of lemma zenon_L296_ *) % 0.77/0.97 assert (zenon_L297_ : ((hskp29)\/((hskp9)\/(hskp11))) -> (~(hskp29)) -> (~(hskp9)) -> (~(hskp11)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H2bd zenon_H4d zenon_H3c zenon_H1c7. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H4e | zenon_intro zenon_H2be ]. % 0.77/0.97 exact (zenon_H4d zenon_H4e). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H3d | zenon_intro zenon_H1c8 ]. % 0.77/0.97 exact (zenon_H3c zenon_H3d). % 0.77/0.97 exact (zenon_H1c7 zenon_H1c8). % 0.77/0.97 (* end of lemma zenon_L297_ *) % 0.77/0.97 assert (zenon_L298_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (~(hskp9)) -> (~(hskp11)) -> ((hskp29)\/((hskp9)\/(hskp11))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H66 zenon_H62 zenon_H5f zenon_H5d zenon_H3c zenon_H1c7 zenon_H2bd. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.77/0.97 apply (zenon_L297_); trivial. % 0.77/0.97 apply (zenon_L29_); trivial. % 0.77/0.97 (* end of lemma zenon_L298_ *) % 0.77/0.97 assert (zenon_L299_ : ((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (~(hskp4)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H222 zenon_H182 zenon_H17b zenon_H17a zenon_H179 zenon_H5f. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H71 | zenon_intro zenon_H183 ]. % 0.77/0.97 apply (zenon_L142_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H105 | zenon_intro zenon_H60 ]. % 0.77/0.97 apply (zenon_L106_); trivial. % 0.77/0.97 exact (zenon_H5f zenon_H60). % 0.77/0.97 (* end of lemma zenon_L299_ *) % 0.77/0.97 assert (zenon_L300_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((hskp29)\/((hskp9)\/(hskp11))) -> (~(hskp9)) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp3)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H226 zenon_H182 zenon_H17b zenon_H17a zenon_H179 zenon_H2bd zenon_H3c zenon_H5d zenon_H5f zenon_H62 zenon_H66. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/0.97 apply (zenon_L298_); trivial. % 0.77/0.97 apply (zenon_L299_); trivial. % 0.77/0.97 (* end of lemma zenon_L300_ *) % 0.77/0.97 assert (zenon_L301_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp21)) -> (~(hskp10)) -> ((hskp21)\/((hskp10)\/(hskp23))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp3)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1b6 zenon_H14f zenon_H1dc zenon_H3 zenon_Hd4 zenon_Hff zenon_H103 zenon_H27a zenon_H1c7 zenon_H5d zenon_H5f zenon_H62 zenon_H66. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.97 apply (zenon_L269_); trivial. % 0.77/0.97 apply (zenon_L149_); trivial. % 0.77/0.97 (* end of lemma zenon_L301_ *) % 0.77/0.97 assert (zenon_L302_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> (~(hskp19)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> False). % 0.77/0.97 do 0 intro. intros zenon_He4 zenon_He5 zenon_H182 zenon_H5f zenon_H44 zenon_H45 zenon_H46 zenon_He2 zenon_H179 zenon_H17a zenon_H17b zenon_Had zenon_H113. % 0.77/0.97 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/0.97 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/0.97 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/0.97 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.97 apply (zenon_L114_); trivial. % 0.77/0.97 apply (zenon_L109_); trivial. % 0.77/0.97 (* end of lemma zenon_L302_ *) % 0.77/0.97 assert (zenon_L303_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> (~(hskp19)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_He9 zenon_He5 zenon_H182 zenon_H44 zenon_H45 zenon_H46 zenon_He2 zenon_H179 zenon_H17a zenon_H17b zenon_Had zenon_H113 zenon_H66 zenon_H62 zenon_H5f zenon_H5d zenon_H1c7 zenon_H27a zenon_H103 zenon_Hff zenon_H3 zenon_H1dc zenon_H14f zenon_H1b6. % 0.77/0.97 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.97 apply (zenon_L301_); trivial. % 0.77/0.97 apply (zenon_L302_); trivial. % 0.77/0.97 (* end of lemma zenon_L303_ *) % 0.77/0.97 assert (zenon_L304_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c2_1 (a303)) -> (c1_1 (a303)) -> (~(c3_1 (a303))) -> (~(c2_1 (a352))) -> (c1_1 (a352)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(hskp27)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H7c zenon_Hcd zenon_Hcc zenon_Hcb zenon_H265 zenon_H266 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H44 zenon_H46 zenon_H45 zenon_H12 zenon_H71 zenon_H7a. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H32 | zenon_intro zenon_H7d ]. % 0.77/0.97 apply (zenon_L265_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H72 | zenon_intro zenon_H7b ]. % 0.77/0.97 apply (zenon_L36_); trivial. % 0.77/0.97 exact (zenon_H7a zenon_H7b). % 0.77/0.97 (* end of lemma zenon_L304_ *) % 0.77/0.97 assert (zenon_L305_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> False). % 0.77/0.97 do 0 intro. intros zenon_He8 zenon_He9 zenon_H273 zenon_He5 zenon_He2 zenon_H7c zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H2f zenon_H9 zenon_H263 zenon_Hd6 zenon_H46 zenon_H45 zenon_H44 zenon_H179 zenon_H17a zenon_H17b zenon_H5f zenon_H182. % 0.77/0.97 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/0.97 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.97 apply (zenon_L107_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/0.97 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/0.97 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H261 | zenon_intro zenon_H274 ]. % 0.77/0.97 apply (zenon_L263_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H12. zenon_intro zenon_H275. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H266. zenon_intro zenon_H276. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H265. zenon_intro zenon_H277. % 0.77/0.97 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H71 | zenon_intro zenon_H183 ]. % 0.77/0.97 apply (zenon_L304_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H105 | zenon_intro zenon_H60 ]. % 0.77/0.97 apply (zenon_L106_); trivial. % 0.77/0.97 exact (zenon_H5f zenon_H60). % 0.77/0.97 apply (zenon_L109_); trivial. % 0.77/0.97 (* end of lemma zenon_L305_ *) % 0.77/0.97 assert (zenon_L306_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((hskp21)\/((hskp10)\/(hskp23))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp3)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H3f zenon_Hec zenon_H7c zenon_Hd6 zenon_H1b6 zenon_H14f zenon_H1dc zenon_H3 zenon_Hff zenon_H103 zenon_H27a zenon_H1c7 zenon_H5d zenon_H5f zenon_H62 zenon_H66 zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_He2 zenon_H46 zenon_H45 zenon_H44 zenon_H182 zenon_He5 zenon_He9. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.97 apply (zenon_L303_); trivial. % 0.77/0.97 apply (zenon_L111_); trivial. % 0.77/0.97 (* end of lemma zenon_L306_ *) % 0.77/0.97 assert (zenon_L307_ : ((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (~(hskp11)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (c3_1 (a281)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H25e zenon_H25b zenon_H1c7 zenon_H15e zenon_H13f zenon_H140 zenon_H1c9 zenon_H239 zenon_H238 zenon_H237. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H12. zenon_intro zenon_H25f. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H260. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H252. zenon_intro zenon_H253. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H13 | zenon_intro zenon_H25c ]. % 0.77/0.97 apply (zenon_L140_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H24d | zenon_intro zenon_H251 ]. % 0.77/0.97 apply (zenon_L256_); trivial. % 0.77/0.97 apply (zenon_L257_); trivial. % 0.77/0.97 (* end of lemma zenon_L307_ *) % 0.77/0.97 assert (zenon_L308_ : ((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(c0_1 (a281))) -> (~(c2_1 (a281))) -> (c3_1 (a281)) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp21)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1b7 zenon_H25d zenon_H25b zenon_H239 zenon_H238 zenon_H237 zenon_H13f zenon_H15e zenon_H140 zenon_H1c7 zenon_H1c9 zenon_Hd4 zenon_H235. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H233 | zenon_intro zenon_H25e ]. % 0.77/0.97 apply (zenon_L252_); trivial. % 0.77/0.97 apply (zenon_L307_); trivial. % 0.77/0.97 (* end of lemma zenon_L308_ *) % 0.77/0.97 assert (zenon_L309_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(c0_1 (a281))) -> (~(c2_1 (a281))) -> (c3_1 (a281)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp21)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp3)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1b6 zenon_H25d zenon_H25b zenon_H239 zenon_H238 zenon_H237 zenon_H13f zenon_H15e zenon_H140 zenon_H1c9 zenon_Hd4 zenon_H235 zenon_H27a zenon_H1c7 zenon_H5d zenon_H5f zenon_H62 zenon_H66. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.97 apply (zenon_L269_); trivial. % 0.77/0.97 apply (zenon_L308_); trivial. % 0.77/0.97 (* end of lemma zenon_L309_ *) % 0.77/0.97 assert (zenon_L310_ : (forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))) -> (ndr1_0) -> (~(c3_1 (a284))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> False). % 0.77/0.97 do 0 intro. intros zenon_Hca zenon_H12 zenon_H27 zenon_H71 zenon_H26 zenon_H28. % 0.77/0.97 generalize (zenon_Hca (a284)). zenon_intro zenon_H2bf. % 0.77/0.97 apply (zenon_imply_s _ _ zenon_H2bf); [ zenon_intro zenon_H11 | zenon_intro zenon_H2c0 ]. % 0.77/0.97 exact (zenon_H11 zenon_H12). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H2e | zenon_intro zenon_H2c1 ]. % 0.77/0.97 exact (zenon_H27 zenon_H2e). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2d ]. % 0.77/0.97 generalize (zenon_H71 (a284)). zenon_intro zenon_H2c3. % 0.77/0.97 apply (zenon_imply_s _ _ zenon_H2c3); [ zenon_intro zenon_H11 | zenon_intro zenon_H2c4 ]. % 0.77/0.97 exact (zenon_H11 zenon_H12). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H2c | zenon_intro zenon_H2c5 ]. % 0.77/0.97 exact (zenon_H26 zenon_H2c). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2d ]. % 0.77/0.97 exact (zenon_H2c2 zenon_H2c6). % 0.77/0.97 exact (zenon_H2d zenon_H28). % 0.77/0.97 exact (zenon_H2d zenon_H28). % 0.77/0.97 (* end of lemma zenon_L310_ *) % 0.77/0.97 assert (zenon_L311_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c1_1 (a293)) -> (c0_1 (a293)) -> (~(c2_1 (a293))) -> (ndr1_0) -> (~(c3_1 (a284))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_Hf0 zenon_Hef zenon_Hee zenon_H12 zenon_H27 zenon_H71 zenon_H26 zenon_H28. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24d | zenon_intro zenon_H272 ]. % 0.77/0.97 apply (zenon_L256_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H9b | zenon_intro zenon_Hca ]. % 0.77/0.97 apply (zenon_L66_); trivial. % 0.77/0.97 apply (zenon_L310_); trivial. % 0.77/0.97 (* end of lemma zenon_L311_ *) % 0.77/0.97 assert (zenon_L312_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a284)) -> (~(c0_1 (a284))) -> (~(c3_1 (a284))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> False). % 0.77/0.97 do 0 intro. intros zenon_Hf9 zenon_Ha1 zenon_H28 zenon_H26 zenon_H27 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H81 zenon_H80 zenon_H7f. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.97 apply (zenon_L311_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.97 apply (zenon_L39_); trivial. % 0.77/0.97 apply (zenon_L66_); trivial. % 0.77/0.97 (* end of lemma zenon_L312_ *) % 0.77/0.97 assert (zenon_L313_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> (~(c0_1 (a281))) -> (~(c2_1 (a281))) -> (c3_1 (a281)) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H67 zenon_H150 zenon_Hfe zenon_Ha1 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H7 zenon_H3 zenon_H13f zenon_H15e zenon_H140 zenon_H1c7 zenon_H1c9 zenon_H16f zenon_H6b zenon_H6f. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.77/0.97 apply (zenon_L35_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.97 apply (zenon_L154_); trivial. % 0.77/0.97 apply (zenon_L312_); trivial. % 0.77/0.97 (* end of lemma zenon_L313_ *) % 0.77/0.97 assert (zenon_L314_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_Hec zenon_He9 zenon_H273 zenon_He2 zenon_H7c zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H2f zenon_H9 zenon_H263 zenon_Hd6 zenon_He5 zenon_Hb2 zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H45 zenon_H44 zenon_H5f zenon_H182 zenon_Hed. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.97 apply (zenon_L117_); trivial. % 0.77/0.97 apply (zenon_L305_); trivial. % 0.77/0.97 (* end of lemma zenon_L314_ *) % 0.77/0.97 assert (zenon_L315_ : (forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> False). % 0.77/0.97 do 0 intro. intros zenon_Hca zenon_H12 zenon_H7e zenon_H19d zenon_H19e zenon_H19f. % 0.77/0.97 generalize (zenon_Hca (a273)). zenon_intro zenon_H2c7. % 0.77/0.97 apply (zenon_imply_s _ _ zenon_H2c7); [ zenon_intro zenon_H11 | zenon_intro zenon_H2c8 ]. % 0.77/0.97 exact (zenon_H11 zenon_H12). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H2b4 | zenon_intro zenon_H1a2 ]. % 0.77/0.97 apply (zenon_L290_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1a4 ]. % 0.77/0.97 exact (zenon_H1a5 zenon_H19e). % 0.77/0.97 exact (zenon_H1a4 zenon_H19f). % 0.77/0.97 (* end of lemma zenon_L315_ *) % 0.77/0.97 assert (zenon_L316_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H161 zenon_H160 zenon_H15f zenon_H12 zenon_H7e zenon_H19d zenon_H19e zenon_H19f. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24d | zenon_intro zenon_H272 ]. % 0.77/0.97 apply (zenon_L256_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H9b | zenon_intro zenon_Hca ]. % 0.77/0.97 apply (zenon_L99_); trivial. % 0.77/0.97 apply (zenon_L315_); trivial. % 0.77/0.97 (* end of lemma zenon_L316_ *) % 0.77/0.97 assert (zenon_L317_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c1_1 (a268))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H90 zenon_H19f zenon_H19e zenon_H19d zenon_H15f zenon_H160 zenon_H161 zenon_H271 zenon_H239 zenon_H238 zenon_H1bc zenon_H237 zenon_H12 zenon_H1. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.77/0.97 apply (zenon_L316_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.77/0.97 apply (zenon_L281_); trivial. % 0.77/0.97 exact (zenon_H1 zenon_H2). % 0.77/0.97 (* end of lemma zenon_L317_ *) % 0.77/0.97 assert (zenon_L318_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp16)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp11)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H170 zenon_H1c9 zenon_H1 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H19d zenon_H19e zenon_H19f zenon_H90 zenon_H1c7. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1ca ]. % 0.77/0.97 apply (zenon_L317_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c8 ]. % 0.77/0.97 apply (zenon_L152_); trivial. % 0.77/0.97 exact (zenon_H1c7 zenon_H1c8). % 0.77/0.97 (* end of lemma zenon_L318_ *) % 0.77/0.97 assert (zenon_L319_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (~(hskp7)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H16f zenon_H1c9 zenon_H1c7 zenon_H271 zenon_H19f zenon_H19e zenon_H19d zenon_H239 zenon_H238 zenon_H237 zenon_H90 zenon_H1 zenon_H3 zenon_H7. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.97 apply (zenon_L4_); trivial. % 0.77/0.97 apply (zenon_L318_); trivial. % 0.77/0.97 (* end of lemma zenon_L319_ *) % 0.77/0.97 assert (zenon_L320_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp3)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_Hfe zenon_H1b6 zenon_H1b4 zenon_H27a zenon_H5d zenon_H5f zenon_H62 zenon_H66 zenon_H7 zenon_H3 zenon_H90 zenon_H237 zenon_H238 zenon_H239 zenon_H19d zenon_H19e zenon_H19f zenon_H271 zenon_H1c7 zenon_H1c9 zenon_H16f. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.97 apply (zenon_L319_); trivial. % 0.77/0.97 apply (zenon_L272_); trivial. % 0.77/0.97 (* end of lemma zenon_L320_ *) % 0.77/0.97 assert (zenon_L321_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (c2_1 (a303)) -> (~(c3_1 (a303))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp28)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_Hcd zenon_Hcb zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_H19d zenon_H19e zenon_H19f zenon_H1b4 zenon_H127. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H115 | zenon_intro zenon_H12a ]. % 0.77/0.97 apply (zenon_L76_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H25 | zenon_intro zenon_H128 ]. % 0.77/0.97 apply (zenon_L167_); trivial. % 0.77/0.97 exact (zenon_H127 zenon_H128). % 0.77/0.97 (* end of lemma zenon_L321_ *) % 0.77/0.97 assert (zenon_L322_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c1_1 (a278)) -> (c3_1 (a278)) -> (c0_1 (a278)) -> (forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20)))))) -> (ndr1_0) -> (~(c3_1 (a303))) -> (c1_1 (a303)) -> (c2_1 (a303)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H12d zenon_H12c zenon_H12b zenon_H72 zenon_H12 zenon_Hcb zenon_Hcc zenon_Hcd. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24d | zenon_intro zenon_H272 ]. % 0.77/0.97 apply (zenon_L256_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H9b | zenon_intro zenon_Hca ]. % 0.77/0.97 apply (zenon_L81_); trivial. % 0.77/0.97 apply (zenon_L56_); trivial. % 0.77/0.97 (* end of lemma zenon_L322_ *) % 0.77/0.97 assert (zenon_L323_ : ((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (c2_1 (a303)) -> (c1_1 (a303)) -> (~(c3_1 (a303))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp27)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H139 zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_Hcd zenon_Hcc zenon_Hcb zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H7a. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H32 | zenon_intro zenon_H7d ]. % 0.77/0.97 apply (zenon_L17_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H72 | zenon_intro zenon_H7b ]. % 0.77/0.97 apply (zenon_L322_); trivial. % 0.77/0.97 exact (zenon_H7a zenon_H7b). % 0.77/0.97 (* end of lemma zenon_L323_ *) % 0.77/0.97 assert (zenon_L324_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> (~(c3_1 (a303))) -> (c2_1 (a303)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c1_1 (a303)) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_He4 zenon_He5 zenon_H182 zenon_H5f zenon_H44 zenon_H45 zenon_H46 zenon_He2 zenon_H129 zenon_H19d zenon_H19e zenon_H19f zenon_H179 zenon_H17a zenon_H17b zenon_Hcb zenon_Hcd zenon_H1b4 zenon_H118 zenon_H117 zenon_H116 zenon_H33 zenon_H34 zenon_H35 zenon_H271 zenon_Hcc zenon_H239 zenon_H238 zenon_H237 zenon_H7c zenon_H13c. % 0.77/0.97 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/0.97 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/0.97 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/0.97 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/0.97 apply (zenon_L321_); trivial. % 0.77/0.97 apply (zenon_L323_); trivial. % 0.77/0.97 apply (zenon_L109_); trivial. % 0.77/0.97 (* end of lemma zenon_L324_ *) % 0.77/0.97 assert (zenon_L325_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> False). % 0.77/0.97 do 0 intro. intros zenon_He8 zenon_He9 zenon_He5 zenon_He2 zenon_H129 zenon_H19d zenon_H19e zenon_H19f zenon_H1b4 zenon_H118 zenon_H117 zenon_H116 zenon_H33 zenon_H34 zenon_H35 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H7c zenon_H13c zenon_Hd6 zenon_H46 zenon_H45 zenon_H44 zenon_H179 zenon_H17a zenon_H17b zenon_H5f zenon_H182. % 0.77/0.97 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/0.97 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.97 apply (zenon_L107_); trivial. % 0.77/0.97 apply (zenon_L324_); trivial. % 0.77/0.97 (* end of lemma zenon_L325_ *) % 0.77/0.97 assert (zenon_L326_ : ((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H153 zenon_H42 zenon_He9 zenon_He2 zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H7c zenon_H13c zenon_Hd6 zenon_Hed zenon_H182 zenon_H5f zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_Hb2 zenon_He5 zenon_H1b4 zenon_H19f zenon_H19e zenon_H19d zenon_H31 zenon_Hec. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.97 apply (zenon_L117_); trivial. % 0.77/0.97 apply (zenon_L168_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.97 apply (zenon_L117_); trivial. % 0.77/0.97 apply (zenon_L325_); trivial. % 0.77/0.97 (* end of lemma zenon_L326_ *) % 0.77/0.97 assert (zenon_L327_ : ((ndr1_0)/\((c0_1 (a272))/\((~(c1_1 (a272)))/\(~(c3_1 (a272)))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a273))/\((c2_1 (a273))/\(~(c0_1 (a273))))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a275)))/\((~(c2_1 (a275)))/\(~(c3_1 (a275))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp8)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((hskp29)\/((hskp9)\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a274))/\((c1_1 (a274))/\(~(c3_1 (a274))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H2c9 zenon_H2ca zenon_H14d zenon_H129 zenon_H13c zenon_H2bc zenon_H1b4 zenon_H90 zenon_H151 zenon_H14e zenon_H235 zenon_H1c9 zenon_H25b zenon_H25d zenon_H6f zenon_H16f zenon_H7 zenon_Ha1 zenon_Hfe zenon_H150 zenon_H6a zenon_H31 zenon_Hec zenon_H273 zenon_H7c zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H263 zenon_Hd6 zenon_H1b6 zenon_H14f zenon_H1dc zenon_H103 zenon_H27a zenon_H113 zenon_He2 zenon_He5 zenon_He9 zenon_H42 zenon_H66 zenon_H62 zenon_H5f zenon_H5d zenon_H2bd zenon_H182 zenon_H226 zenon_Hed zenon_Hc5 zenon_Hb2 zenon_H225. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H12. zenon_intro zenon_H2cb. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H17b. zenon_intro zenon_H2cc. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.97 apply (zenon_L300_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.97 apply (zenon_L303_); trivial. % 0.77/0.97 apply (zenon_L305_); trivial. % 0.77/0.97 apply (zenon_L306_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.97 apply (zenon_L16_); trivial. % 0.77/0.97 apply (zenon_L306_); trivial. % 0.77/0.97 apply (zenon_L299_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.97 apply (zenon_L309_); trivial. % 0.77/0.97 apply (zenon_L302_); trivial. % 0.77/0.97 apply (zenon_L305_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/0.97 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.97 apply (zenon_L309_); trivial. % 0.77/0.97 apply (zenon_L110_); trivial. % 0.77/0.97 apply (zenon_L313_); trivial. % 0.77/0.97 apply (zenon_L299_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.97 apply (zenon_L300_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.97 apply (zenon_L314_); trivial. % 0.77/0.97 apply (zenon_L118_); trivial. % 0.77/0.97 apply (zenon_L119_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/0.97 apply (zenon_L320_); trivial. % 0.77/0.97 apply (zenon_L299_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.77/0.97 apply (zenon_L294_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.97 apply (zenon_L300_); trivial. % 0.77/0.97 apply (zenon_L326_); trivial. % 0.77/0.97 (* end of lemma zenon_L327_ *) % 0.77/0.97 assert (zenon_L328_ : ((ndr1_0)/\((~(c0_1 (a271)))/\((~(c1_1 (a271)))/\(~(c3_1 (a271)))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a275)))/\((~(c2_1 (a275)))/\(~(c3_1 (a275))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp8)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H2cd zenon_H14d zenon_H122 zenon_H11f zenon_H237 zenon_H238 zenon_H239 zenon_H2bc. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H12. zenon_intro zenon_H2ce. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H187. zenon_intro zenon_H2cf. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.77/0.97 apply (zenon_L294_); trivial. % 0.77/0.97 apply (zenon_L122_); trivial. % 0.77/0.97 (* end of lemma zenon_L328_ *) % 0.77/0.97 assert (zenon_L329_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28)))))) -> (c2_1 (a304)) -> (c1_1 (a304)) -> (c0_1 (a304)) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H206 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H1c1 zenon_H56 zenon_H55 zenon_H54 zenon_H12 zenon_H5. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H207 ]. % 0.77/0.97 apply (zenon_L172_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H53 | zenon_intro zenon_H6 ]. % 0.77/0.97 apply (zenon_L26_); trivial. % 0.77/0.97 exact (zenon_H5 zenon_H6). % 0.77/0.97 (* end of lemma zenon_L329_ *) % 0.77/0.97 assert (zenon_L330_ : ((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (~(hskp18)) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp11)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H61 zenon_H1c9 zenon_H140 zenon_H15e zenon_H13f zenon_H5 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H206 zenon_H1c7. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H12. zenon_intro zenon_H63. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H54. zenon_intro zenon_H64. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H55. zenon_intro zenon_H56. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1ca ]. % 0.77/0.97 apply (zenon_L137_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c8 ]. % 0.77/0.97 apply (zenon_L329_); trivial. % 0.77/0.97 exact (zenon_H1c7 zenon_H1c8). % 0.77/0.97 (* end of lemma zenon_L330_ *) % 0.77/0.97 assert (zenon_L331_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (~(hskp22)) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H66 zenon_H1c9 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H206 zenon_H140 zenon_H15e zenon_H13f zenon_H198 zenon_H1c7 zenon_H27a. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.77/0.97 apply (zenon_L268_); trivial. % 0.77/0.97 apply (zenon_L330_); trivial. % 0.77/0.97 (* end of lemma zenon_L331_ *) % 0.77/0.97 assert (zenon_L332_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (~(hskp20)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> False). % 0.77/0.97 do 0 intro. intros zenon_He4 zenon_H66 zenon_H1c9 zenon_H1c7 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H206 zenon_H140 zenon_H15e zenon_H13f zenon_Haf zenon_H20a. % 0.77/0.97 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/0.97 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/0.97 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.77/0.97 apply (zenon_L178_); trivial. % 0.77/0.97 apply (zenon_L330_); trivial. % 0.77/0.97 (* end of lemma zenon_L332_ *) % 0.77/0.97 assert (zenon_L333_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> (~(hskp20)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_He9 zenon_Haf zenon_H20a zenon_H66 zenon_H1c9 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H5 zenon_H206 zenon_H140 zenon_H15e zenon_H13f zenon_H1c7 zenon_H27a zenon_H235 zenon_H237 zenon_H238 zenon_H239 zenon_H25b zenon_H25d zenon_H1b6. % 0.77/0.97 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.97 apply (zenon_L331_); trivial. % 0.77/0.97 apply (zenon_L308_); trivial. % 0.77/0.97 apply (zenon_L332_); trivial. % 0.77/0.97 (* end of lemma zenon_L333_ *) % 0.77/0.97 assert (zenon_L334_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c1_1 (a293)) -> (c0_1 (a293)) -> (~(c2_1 (a293))) -> False). % 0.77/0.97 do 0 intro. intros zenon_He8 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_Hf0 zenon_Hef zenon_Hee. % 0.77/0.97 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24d | zenon_intro zenon_H272 ]. % 0.77/0.97 apply (zenon_L256_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H9b | zenon_intro zenon_Hca ]. % 0.77/0.97 apply (zenon_L66_); trivial. % 0.77/0.97 apply (zenon_L56_); trivial. % 0.77/0.97 (* end of lemma zenon_L334_ *) % 0.77/0.97 assert (zenon_L335_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c1_1 (a293)) -> (c0_1 (a293)) -> (~(c2_1 (a293))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H170 zenon_Hec zenon_H271 zenon_Hf0 zenon_Hef zenon_Hee zenon_H239 zenon_H238 zenon_H237 zenon_H177 zenon_H3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H208. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.97 apply (zenon_L197_); trivial. % 0.77/0.97 apply (zenon_L334_); trivial. % 0.77/0.97 (* end of lemma zenon_L335_ *) % 0.77/0.97 assert (zenon_L336_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp14)) -> (~(hskp9)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_Hec zenon_H271 zenon_H177 zenon_H3 zenon_H208 zenon_He9 zenon_H20a zenon_H66 zenon_H1c9 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H206 zenon_H140 zenon_H15e zenon_H13f zenon_H1c7 zenon_H27a zenon_H235 zenon_H237 zenon_H238 zenon_H239 zenon_H25b zenon_H25d zenon_H1b6 zenon_H31 zenon_H2f zenon_H3c zenon_H3e zenon_Hed. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.97 apply (zenon_L333_); trivial. % 0.77/0.97 apply (zenon_L163_); trivial. % 0.77/0.97 apply (zenon_L335_); trivial. % 0.77/0.97 (* end of lemma zenon_L336_ *) % 0.77/0.97 assert (zenon_L337_ : ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (~(c0_1 (a282))) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp13)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H6f zenon_H1cd zenon_H1cc zenon_H89 zenon_H1cb zenon_H12 zenon_H6b zenon_H6d. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H25 | zenon_intro zenon_H70 ]. % 0.77/0.97 generalize (zenon_H25 (a282)). zenon_intro zenon_H2d0. % 0.77/0.97 apply (zenon_imply_s _ _ zenon_H2d0); [ zenon_intro zenon_H11 | zenon_intro zenon_H2d1 ]. % 0.77/0.97 exact (zenon_H11 zenon_H12). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H2d2 ]. % 0.77/0.97 exact (zenon_H1cb zenon_H1d1). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2d3 | zenon_intro zenon_H1d2 ]. % 0.77/0.97 generalize (zenon_H89 (a282)). zenon_intro zenon_H2d4. % 0.77/0.97 apply (zenon_imply_s _ _ zenon_H2d4); [ zenon_intro zenon_H11 | zenon_intro zenon_H2d5 ]. % 0.77/0.97 exact (zenon_H11 zenon_H12). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H2d6 ]. % 0.77/0.97 exact (zenon_H1cb zenon_H1d1). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H2d7 ]. % 0.77/0.97 exact (zenon_H1cc zenon_H1d3). % 0.77/0.97 exact (zenon_H2d7 zenon_H2d3). % 0.77/0.97 exact (zenon_H1d2 zenon_H1cd). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H6c | zenon_intro zenon_H6e ]. % 0.77/0.97 exact (zenon_H6b zenon_H6c). % 0.77/0.97 exact (zenon_H6d zenon_H6e). % 0.77/0.97 (* end of lemma zenon_L337_ *) % 0.77/0.97 assert (zenon_L338_ : ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (c1_1 (a303)) -> (c2_1 (a303)) -> (~(c3_1 (a303))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (~(hskp6)) -> (~(hskp13)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H6f zenon_Hcc zenon_Hcd zenon_Hcb zenon_H12 zenon_H53 zenon_H6b zenon_H6d. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H25 | zenon_intro zenon_H70 ]. % 0.77/0.97 apply (zenon_L243_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H6c | zenon_intro zenon_H6e ]. % 0.77/0.97 exact (zenon_H6b zenon_H6c). % 0.77/0.97 exact (zenon_H6d zenon_H6e). % 0.77/0.97 (* end of lemma zenon_L338_ *) % 0.77/0.97 assert (zenon_L339_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (~(hskp6)) -> False). % 0.77/0.97 do 0 intro. intros zenon_He8 zenon_H9f zenon_H1cb zenon_H1cc zenon_H1cd zenon_H6d zenon_H6f zenon_H6b. % 0.77/0.97 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.77/0.97 apply (zenon_L337_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.77/0.97 apply (zenon_L338_); trivial. % 0.77/0.97 exact (zenon_H6b zenon_H6c). % 0.77/0.97 (* end of lemma zenon_L339_ *) % 0.77/0.97 assert (zenon_L340_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> (~(hskp6)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H170 zenon_Hec zenon_H9f zenon_H1cb zenon_H1cc zenon_H1cd zenon_H6b zenon_H6d zenon_H6f zenon_H177 zenon_H3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H208. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.97 apply (zenon_L197_); trivial. % 0.77/0.97 apply (zenon_L339_); trivial. % 0.77/0.97 (* end of lemma zenon_L340_ *) % 0.77/0.97 assert (zenon_L341_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> (~(hskp6)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp16)) -> (~(hskp7)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H16f zenon_Hec zenon_H9f zenon_H1cb zenon_H1cc zenon_H1cd zenon_H6b zenon_H6d zenon_H6f zenon_H177 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H208 zenon_H1 zenon_H3 zenon_H7. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.97 apply (zenon_L4_); trivial. % 0.77/0.97 apply (zenon_L340_); trivial. % 0.77/0.97 (* end of lemma zenon_L341_ *) % 0.77/0.97 assert (zenon_L342_ : ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c2_1 (a311)) -> (c0_1 (a311)) -> (~(c3_1 (a311))) -> (ndr1_0) -> (forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))) -> (~(hskp27)) -> (~(hskp19)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H113 zenon_H1ad zenon_H1ac zenon_H1ab zenon_H12 zenon_Hca zenon_H7a zenon_Had. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H105 | zenon_intro zenon_H114 ]. % 0.77/0.97 apply (zenon_L254_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H7b | zenon_intro zenon_Hae ]. % 0.77/0.97 exact (zenon_H7a zenon_H7b). % 0.77/0.97 exact (zenon_Had zenon_Hae). % 0.77/0.97 (* end of lemma zenon_L342_ *) % 0.77/0.97 assert (zenon_L343_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c1_1 (a293)) -> (c0_1 (a293)) -> (~(c2_1 (a293))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c2_1 (a311)) -> (c0_1 (a311)) -> (~(c3_1 (a311))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp19)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_Hf0 zenon_Hef zenon_Hee zenon_H113 zenon_H1ad zenon_H1ac zenon_H1ab zenon_H12 zenon_H7a zenon_Had. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24d | zenon_intro zenon_H272 ]. % 0.77/0.97 apply (zenon_L256_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H9b | zenon_intro zenon_Hca ]. % 0.77/0.97 apply (zenon_L66_); trivial. % 0.77/0.97 apply (zenon_L342_); trivial. % 0.77/0.97 (* end of lemma zenon_L343_ *) % 0.77/0.97 assert (zenon_L344_ : ((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1b7 zenon_He5 zenon_Hb2 zenon_Haf zenon_H237 zenon_H238 zenon_H239 zenon_Hee zenon_Hef zenon_Hf0 zenon_H113 zenon_Had zenon_H271. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.77/0.97 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.97 apply (zenon_L343_); trivial. % 0.77/0.97 apply (zenon_L49_); trivial. % 0.77/0.97 (* end of lemma zenon_L344_ *) % 0.77/0.97 assert (zenon_L345_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp6)) -> (~(hskp9)) -> ((hskp22)\/((hskp6)\/(hskp9))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1b6 zenon_He5 zenon_Hb2 zenon_Haf zenon_H237 zenon_H238 zenon_H239 zenon_Hee zenon_Hef zenon_Hf0 zenon_H113 zenon_Had zenon_H271 zenon_H6b zenon_H3c zenon_H231. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.97 apply (zenon_L250_); trivial. % 0.77/0.97 apply (zenon_L344_); trivial. % 0.77/0.97 (* end of lemma zenon_L345_ *) % 0.77/0.97 assert (zenon_L346_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((hskp22)\/((hskp6)\/(hskp9))) -> (~(hskp9)) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp19)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c1_1 (a293)) -> (c0_1 (a293)) -> (~(c2_1 (a293))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_Hed zenon_H3e zenon_H2f zenon_H31 zenon_H231 zenon_H3c zenon_H6b zenon_H271 zenon_Had zenon_H113 zenon_Hf0 zenon_Hef zenon_Hee zenon_H239 zenon_H238 zenon_H237 zenon_Hb2 zenon_He5 zenon_H1b6. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.97 apply (zenon_L345_); trivial. % 0.77/0.97 apply (zenon_L163_); trivial. % 0.77/0.97 (* end of lemma zenon_L346_ *) % 0.77/0.97 assert (zenon_L347_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))) -> (~(hskp16)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H90 zenon_H81 zenon_H80 zenon_H7f zenon_H1f5 zenon_H1f6 zenon_H12 zenon_H173 zenon_H1. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.77/0.97 apply (zenon_L39_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.77/0.97 apply (zenon_L183_); trivial. % 0.77/0.97 exact (zenon_H1 zenon_H2). % 0.77/0.97 (* end of lemma zenon_L347_ *) % 0.77/0.97 assert (zenon_L348_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1d4 zenon_H140 zenon_H15e zenon_H13f zenon_H90 zenon_H81 zenon_H80 zenon_H7f zenon_H1f5 zenon_H1f6 zenon_H12 zenon_H1. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.77/0.97 apply (zenon_L137_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.77/0.97 apply (zenon_L39_); trivial. % 0.77/0.97 apply (zenon_L347_); trivial. % 0.77/0.97 (* end of lemma zenon_L348_ *) % 0.77/0.97 assert (zenon_L349_ : ((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (~(c0_1 (a281))) -> (~(c2_1 (a281))) -> (c3_1 (a281)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H156 zenon_Hfe zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H13f zenon_H15e zenon_H140 zenon_H90 zenon_H1f5 zenon_H1f6 zenon_H1d4. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.97 apply (zenon_L348_); trivial. % 0.77/0.97 apply (zenon_L158_); trivial. % 0.77/0.97 (* end of lemma zenon_L349_ *) % 0.77/0.97 assert (zenon_L350_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(c2_1 (a298))) -> (ndr1_0) -> (~(c3_1 (a303))) -> (c1_1 (a303)) -> (c2_1 (a303)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H161 zenon_H160 zenon_H7e zenon_H15f zenon_H12 zenon_Hcb zenon_Hcc zenon_Hcd. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24d | zenon_intro zenon_H272 ]. % 0.77/0.97 apply (zenon_L256_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H9b | zenon_intro zenon_Hca ]. % 0.77/0.97 apply (zenon_L99_); trivial. % 0.77/0.97 apply (zenon_L56_); trivial. % 0.77/0.97 (* end of lemma zenon_L350_ *) % 0.77/0.97 assert (zenon_L351_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c2_1 (a303)) -> (c1_1 (a303)) -> (~(c3_1 (a303))) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c1_1 (a268))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H90 zenon_Hcd zenon_Hcc zenon_Hcb zenon_H15f zenon_H160 zenon_H161 zenon_H271 zenon_H239 zenon_H238 zenon_H1bc zenon_H237 zenon_H12 zenon_H1. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.77/0.97 apply (zenon_L350_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.77/0.97 apply (zenon_L281_); trivial. % 0.77/0.97 exact (zenon_H1 zenon_H2). % 0.77/0.97 (* end of lemma zenon_L351_ *) % 0.77/0.97 assert (zenon_L352_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))) -> (~(hskp16)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H90 zenon_H161 zenon_H160 zenon_H15f zenon_H9b zenon_H1f5 zenon_H1f6 zenon_H12 zenon_H173 zenon_H1. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.77/0.97 apply (zenon_L99_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.77/0.97 apply (zenon_L183_); trivial. % 0.77/0.97 exact (zenon_H1 zenon_H2). % 0.77/0.97 (* end of lemma zenon_L352_ *) % 0.77/0.97 assert (zenon_L353_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(hskp16)) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> False). % 0.77/0.97 do 0 intro. intros zenon_He8 zenon_H1d4 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H1 zenon_H1f6 zenon_H1f5 zenon_H15f zenon_H160 zenon_H161 zenon_H90. % 0.77/0.97 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/0.97 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.77/0.97 apply (zenon_L351_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.77/0.97 apply (zenon_L350_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24d | zenon_intro zenon_H272 ]. % 0.77/0.97 apply (zenon_L256_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H9b | zenon_intro zenon_Hca ]. % 0.77/0.97 apply (zenon_L352_); trivial. % 0.77/0.97 apply (zenon_L56_); trivial. % 0.77/0.97 (* end of lemma zenon_L353_ *) % 0.77/0.97 assert (zenon_L354_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H170 zenon_Hec zenon_H1d4 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H1 zenon_H90 zenon_H177 zenon_H3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H208. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.97 apply (zenon_L197_); trivial. % 0.77/0.97 apply (zenon_L353_); trivial. % 0.77/0.97 (* end of lemma zenon_L354_ *) % 0.77/0.97 assert (zenon_L355_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp16)) -> (~(hskp7)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H16f zenon_Hec zenon_H1d4 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H90 zenon_H177 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H208 zenon_H1 zenon_H3 zenon_H7. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.97 apply (zenon_L4_); trivial. % 0.77/0.97 apply (zenon_L354_); trivial. % 0.77/0.97 (* end of lemma zenon_L355_ *) % 0.77/0.97 assert (zenon_L356_ : ((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp18)) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp7)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H61 zenon_H208 zenon_Had zenon_H177 zenon_H5 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H206 zenon_H3. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H12. zenon_intro zenon_H63. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H54. zenon_intro zenon_H64. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H55. zenon_intro zenon_H56. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H209 ]. % 0.77/0.97 apply (zenon_L196_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H4 ]. % 0.77/0.97 apply (zenon_L329_); trivial. % 0.77/0.97 exact (zenon_H3 zenon_H4). % 0.77/0.97 (* end of lemma zenon_L356_ *) % 0.77/0.97 assert (zenon_L357_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp7)) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H66 zenon_H208 zenon_H5 zenon_H206 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H3 zenon_Had zenon_H177 zenon_H12 zenon_H44 zenon_H45 zenon_H46 zenon_H4f zenon_H51. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.77/0.97 apply (zenon_L25_); trivial. % 0.77/0.97 apply (zenon_L356_); trivial. % 0.77/0.97 (* end of lemma zenon_L357_ *) % 0.77/0.97 assert (zenon_L358_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c1_1 (a293)) -> (c0_1 (a293)) -> (~(c2_1 (a293))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (ndr1_0) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hec zenon_H271 zenon_Hf0 zenon_Hef zenon_Hee zenon_H239 zenon_H238 zenon_H237 zenon_H51 zenon_H4f zenon_H46 zenon_H45 zenon_H44 zenon_H12 zenon_H177 zenon_H3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H206 zenon_H5 zenon_H208 zenon_H66. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.98 apply (zenon_L357_); trivial. % 0.77/0.98 apply (zenon_L334_); trivial. % 0.77/0.98 (* end of lemma zenon_L358_ *) % 0.77/0.98 assert (zenon_L359_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_H66 zenon_H208 zenon_H206 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H3 zenon_H177 zenon_H44 zenon_H45 zenon_H46 zenon_H4f zenon_H51 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_Hec. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.98 apply (zenon_L358_); trivial. % 0.77/0.98 apply (zenon_L335_); trivial. % 0.77/0.98 (* end of lemma zenon_L359_ *) % 0.77/0.98 assert (zenon_L360_ : ((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H153 zenon_Hfe zenon_H66 zenon_H206 zenon_H4f zenon_H51 zenon_H7 zenon_H3 zenon_H208 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H177 zenon_H90 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H1d4 zenon_Hec zenon_H16f. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.98 apply (zenon_L355_); trivial. % 0.77/0.98 apply (zenon_L359_); trivial. % 0.77/0.98 (* end of lemma zenon_L360_ *) % 0.77/0.98 assert (zenon_L361_ : ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (~(c0_1 (a305))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c1_1 (a268))) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hc5 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H239 zenon_H238 zenon_H1bc zenon_H237 zenon_H12 zenon_Hc1 zenon_H92 zenon_H93. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hc6 ]. % 0.77/0.98 apply (zenon_L50_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc0 ]. % 0.77/0.98 apply (zenon_L281_); trivial. % 0.77/0.98 apply (zenon_L51_); trivial. % 0.77/0.98 (* end of lemma zenon_L361_ *) % 0.77/0.98 assert (zenon_L362_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(c2_1 (a270))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp11)) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hc7 zenon_H1c9 zenon_H237 zenon_H238 zenon_H239 zenon_H93 zenon_H92 zenon_Hc1 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_Hc5 zenon_H1c7. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1ca ]. % 0.77/0.98 apply (zenon_L361_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c8 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hc6 ]. % 0.77/0.98 apply (zenon_L50_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc0 ]. % 0.77/0.98 apply (zenon_L182_); trivial. % 0.77/0.98 apply (zenon_L51_); trivial. % 0.77/0.98 exact (zenon_H1c7 zenon_H1c8). % 0.77/0.98 (* end of lemma zenon_L362_ *) % 0.77/0.98 assert (zenon_L363_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a281))) -> (~(c2_1 (a281))) -> (c3_1 (a281)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hed zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H1b6 zenon_H25d zenon_H25b zenon_H239 zenon_H238 zenon_H237 zenon_H235 zenon_H27a zenon_H1c7 zenon_H13f zenon_H15e zenon_H140 zenon_H206 zenon_H5 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H1c9 zenon_H66 zenon_H20a zenon_He9. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.98 apply (zenon_L333_); trivial. % 0.77/0.98 apply (zenon_L362_); trivial. % 0.77/0.98 (* end of lemma zenon_L363_ *) % 0.77/0.98 assert (zenon_L364_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H16f zenon_He9 zenon_H20a zenon_H66 zenon_H1c9 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H206 zenon_H140 zenon_H15e zenon_H13f zenon_H1c7 zenon_H27a zenon_H235 zenon_H237 zenon_H238 zenon_H239 zenon_H25b zenon_H25d zenon_H1b6 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_Hed. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.98 apply (zenon_L363_); trivial. % 0.77/0.98 apply (zenon_L153_); trivial. % 0.77/0.98 (* end of lemma zenon_L364_ *) % 0.77/0.98 assert (zenon_L365_ : ((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp13)) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (~(hskp6)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H61 zenon_H9f zenon_H6d zenon_H1cb zenon_H1cc zenon_H1cd zenon_H6f zenon_H6b. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H12. zenon_intro zenon_H63. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H54. zenon_intro zenon_H64. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H55. zenon_intro zenon_H56. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.77/0.98 apply (zenon_L337_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.77/0.98 apply (zenon_L26_); trivial. % 0.77/0.98 exact (zenon_H6b zenon_H6c). % 0.77/0.98 (* end of lemma zenon_L365_ *) % 0.77/0.98 assert (zenon_L366_ : (forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (c0_1 (a337)) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (c3_1 (a337)) -> (c2_1 (a337)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H53 zenon_H12 zenon_H296 zenon_H88 zenon_H297 zenon_H2a6. % 0.77/0.98 generalize (zenon_H53 (a337)). zenon_intro zenon_H2d8. % 0.77/0.98 apply (zenon_imply_s _ _ zenon_H2d8); [ zenon_intro zenon_H11 | zenon_intro zenon_H2d9 ]. % 0.77/0.98 exact (zenon_H11 zenon_H12). % 0.77/0.98 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H29f | zenon_intro zenon_H2da ]. % 0.77/0.98 exact (zenon_H29f zenon_H296). % 0.77/0.98 apply (zenon_or_s _ _ zenon_H2da); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2db ]. % 0.77/0.98 generalize (zenon_H88 (a337)). zenon_intro zenon_H298. % 0.77/0.98 apply (zenon_imply_s _ _ zenon_H298); [ zenon_intro zenon_H11 | zenon_intro zenon_H299 ]. % 0.77/0.98 exact (zenon_H11 zenon_H12). % 0.77/0.98 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H29b | zenon_intro zenon_H29a ]. % 0.77/0.98 exact (zenon_H2a1 zenon_H29b). % 0.77/0.98 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H29f | zenon_intro zenon_H2a0 ]. % 0.77/0.98 exact (zenon_H29f zenon_H296). % 0.77/0.98 exact (zenon_H2a0 zenon_H297). % 0.77/0.98 exact (zenon_H2db zenon_H2a6). % 0.77/0.98 (* end of lemma zenon_L366_ *) % 0.77/0.98 assert (zenon_L367_ : ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (~(c0_1 (a305))) -> (c2_1 (a337)) -> (c3_1 (a337)) -> (c0_1 (a337)) -> (forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hc5 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H2a6 zenon_H297 zenon_H296 zenon_H53 zenon_H12 zenon_Hc1 zenon_H92 zenon_H93. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hc6 ]. % 0.77/0.98 apply (zenon_L50_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc0 ]. % 0.77/0.98 apply (zenon_L366_); trivial. % 0.77/0.98 apply (zenon_L51_); trivial. % 0.77/0.98 (* end of lemma zenon_L367_ *) % 0.77/0.98 assert (zenon_L368_ : ((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp13)) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(c0_1 (a305))) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp6)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H2a3 zenon_H9f zenon_H6d zenon_H1cb zenon_H1cc zenon_H1cd zenon_H6f zenon_H93 zenon_H92 zenon_Hc1 zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_Hc5 zenon_H6b. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H12. zenon_intro zenon_H2a4. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H296. zenon_intro zenon_H2a5. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H2a6. zenon_intro zenon_H297. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.77/0.98 apply (zenon_L337_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.77/0.98 apply (zenon_L367_); trivial. % 0.77/0.98 exact (zenon_H6b zenon_H6c). % 0.77/0.98 (* end of lemma zenon_L368_ *) % 0.77/0.98 assert (zenon_L369_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> (~(hskp6)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (~(hskp14)) -> (~(hskp17)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hc7 zenon_H2a2 zenon_H9f zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H6b zenon_H6d zenon_H6f zenon_H2f zenon_H280 zenon_H282. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a3 ]. % 0.77/0.98 apply (zenon_L277_); trivial. % 0.77/0.98 apply (zenon_L368_); trivial. % 0.77/0.98 (* end of lemma zenon_L369_ *) % 0.77/0.98 assert (zenon_L370_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp14)) -> (~(hskp17)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> (~(hskp6)) -> (~(hskp9)) -> ((hskp22)\/((hskp6)\/(hskp9))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hed zenon_H2a2 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H2f zenon_H280 zenon_H282 zenon_H1b6 zenon_H25d zenon_He5 zenon_Hb2 zenon_H113 zenon_Had zenon_H237 zenon_H238 zenon_H239 zenon_Hd6 zenon_H25b zenon_H235 zenon_H6b zenon_H3c zenon_H231 zenon_H20a zenon_H6f zenon_H6d zenon_H1cd zenon_H1cc zenon_H1cb zenon_H9f zenon_H66 zenon_He9. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.98 apply (zenon_L260_); trivial. % 0.77/0.98 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/0.98 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/0.98 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.77/0.98 apply (zenon_L178_); trivial. % 0.77/0.98 apply (zenon_L365_); trivial. % 0.77/0.98 apply (zenon_L369_); trivial. % 0.77/0.98 (* end of lemma zenon_L370_ *) % 0.77/0.98 assert (zenon_L371_ : ((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c3_1 (a295)) -> (~(c1_1 (a295))) -> (~(c0_1 (a295))) -> (~(hskp6)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H61 zenon_H9f zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H6b. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H12. zenon_intro zenon_H63. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H54. zenon_intro zenon_H64. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H55. zenon_intro zenon_H56. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.77/0.98 apply (zenon_L287_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.77/0.98 apply (zenon_L26_); trivial. % 0.77/0.98 exact (zenon_H6b zenon_H6c). % 0.77/0.98 (* end of lemma zenon_L371_ *) % 0.77/0.98 assert (zenon_L372_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a295)) -> (~(c1_1 (a295))) -> (~(c0_1 (a295))) -> (~(hskp20)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> False). % 0.77/0.98 do 0 intro. intros zenon_He4 zenon_H66 zenon_H9f zenon_H6b zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Haf zenon_H20a. % 0.77/0.98 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/0.98 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/0.98 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.77/0.98 apply (zenon_L178_); trivial. % 0.77/0.98 apply (zenon_L371_); trivial. % 0.77/0.98 (* end of lemma zenon_L372_ *) % 0.77/0.98 assert (zenon_L373_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c3_1 (a295)) -> (~(c1_1 (a295))) -> (~(c0_1 (a295))) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (~(hskp6)) -> False). % 0.77/0.98 do 0 intro. intros zenon_He8 zenon_H9f zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H6d zenon_H6f zenon_H6b. % 0.77/0.98 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.77/0.98 apply (zenon_L287_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.77/0.98 apply (zenon_L338_); trivial. % 0.77/0.98 exact (zenon_H6b zenon_H6c). % 0.77/0.98 (* end of lemma zenon_L373_ *) % 0.77/0.98 assert (zenon_L374_ : ((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((hskp22)\/((hskp6)\/(hskp9))) -> (~(hskp9)) -> (~(hskp6)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H2b0 zenon_Hec zenon_H6d zenon_H6f zenon_He9 zenon_H66 zenon_H9f zenon_H20a zenon_H231 zenon_H3c zenon_H6b zenon_H235 zenon_H25b zenon_Hd6 zenon_H239 zenon_H238 zenon_H237 zenon_H113 zenon_Hb2 zenon_He5 zenon_H25d zenon_H1b6 zenon_H31 zenon_H2f zenon_H3e zenon_Hed. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H12. zenon_intro zenon_H2b1. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a9. zenon_intro zenon_H2b2. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2a7. zenon_intro zenon_H2a8. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.98 apply (zenon_L260_); trivial. % 0.77/0.98 apply (zenon_L372_); trivial. % 0.77/0.98 apply (zenon_L163_); trivial. % 0.77/0.98 apply (zenon_L373_); trivial. % 0.77/0.98 (* end of lemma zenon_L374_ *) % 0.77/0.98 assert (zenon_L375_ : ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a307)) -> (c0_1 (a307)) -> (~(c1_1 (a307))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (ndr1_0) -> (c1_1 (a286)) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c0_1 (a286))) -> (c3_1 (a286)) -> False). % 0.77/0.98 do 0 intro. intros zenon_He2 zenon_Hdb zenon_Hda zenon_Hd9 zenon_H239 zenon_H238 zenon_H237 zenon_H12 zenon_H80 zenon_H1bc zenon_H7f zenon_H81. % 0.77/0.98 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_He3 ]. % 0.77/0.98 apply (zenon_L60_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H88 | zenon_intro zenon_Ha3 ]. % 0.77/0.98 apply (zenon_L281_); trivial. % 0.77/0.98 apply (zenon_L210_); trivial. % 0.77/0.98 (* end of lemma zenon_L375_ *) % 0.77/0.98 assert (zenon_L376_ : ((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H139 zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_Hd9 zenon_Hda zenon_Hdb zenon_He2 zenon_H81 zenon_H80 zenon_H7f. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.77/0.98 apply (zenon_L375_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.77/0.98 apply (zenon_L39_); trivial. % 0.77/0.98 apply (zenon_L103_); trivial. % 0.77/0.98 (* end of lemma zenon_L376_ *) % 0.77/0.98 assert (zenon_L377_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (c3_1 (a286)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> (~(hskp23)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H13c zenon_H1d4 zenon_Hd9 zenon_Hda zenon_Hdb zenon_H237 zenon_H238 zenon_H239 zenon_H80 zenon_H7f zenon_H81 zenon_He2 zenon_H12 zenon_Hc1 zenon_H92 zenon_H93 zenon_H101 zenon_H13d. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/0.98 apply (zenon_L89_); trivial. % 0.77/0.98 apply (zenon_L376_); trivial. % 0.77/0.98 (* end of lemma zenon_L377_ *) % 0.77/0.98 assert (zenon_L378_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a268))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H90 zenon_H81 zenon_H80 zenon_H7f zenon_H239 zenon_H238 zenon_H13 zenon_H237 zenon_H12 zenon_H1. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.77/0.98 apply (zenon_L39_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.77/0.98 apply (zenon_L253_); trivial. % 0.77/0.98 exact (zenon_H1 zenon_H2). % 0.77/0.98 (* end of lemma zenon_L378_ *) % 0.77/0.98 assert (zenon_L379_ : ((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp16)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a286)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H121 zenon_H20c zenon_H1 zenon_H237 zenon_H238 zenon_H239 zenon_H7f zenon_H80 zenon_H81 zenon_H90 zenon_Hd9 zenon_Hda zenon_Hdb. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H123. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H106. zenon_intro zenon_H124. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H125. zenon_intro zenon_H107. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H13 | zenon_intro zenon_H20d ]. % 0.77/0.98 apply (zenon_L378_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1d8 | zenon_intro zenon_Hd8 ]. % 0.77/0.98 apply (zenon_L147_); trivial. % 0.77/0.98 apply (zenon_L60_); trivial. % 0.77/0.98 (* end of lemma zenon_L379_ *) % 0.77/0.98 assert (zenon_L380_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a286)) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_He4 zenon_H14f zenon_H20c zenon_H1 zenon_H90 zenon_H13d zenon_H93 zenon_H92 zenon_Hc1 zenon_He2 zenon_H81 zenon_H7f zenon_H80 zenon_H239 zenon_H238 zenon_H237 zenon_H1d4 zenon_H13c. % 0.77/0.98 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/0.98 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/0.98 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.77/0.98 apply (zenon_L377_); trivial. % 0.77/0.98 apply (zenon_L379_); trivial. % 0.77/0.98 (* end of lemma zenon_L380_ *) % 0.77/0.98 assert (zenon_L381_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp12)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a286)) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((hskp22)\/((hskp6)\/(hskp9))) -> (~(hskp9)) -> (~(hskp6)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hec zenon_H273 zenon_H271 zenon_H9 zenon_H263 zenon_He9 zenon_H14f zenon_H20c zenon_H1 zenon_H90 zenon_H13d zenon_H93 zenon_H92 zenon_Hc1 zenon_He2 zenon_H81 zenon_H7f zenon_H80 zenon_H1d4 zenon_H13c zenon_H231 zenon_H3c zenon_H6b zenon_H235 zenon_H25b zenon_Hd6 zenon_H239 zenon_H238 zenon_H237 zenon_H113 zenon_Hb2 zenon_He5 zenon_H25d zenon_H1b6 zenon_H31 zenon_H2f zenon_H3e zenon_Hed. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.98 apply (zenon_L260_); trivial. % 0.77/0.98 apply (zenon_L380_); trivial. % 0.77/0.98 apply (zenon_L163_); trivial. % 0.77/0.98 apply (zenon_L266_); trivial. % 0.77/0.98 (* end of lemma zenon_L381_ *) % 0.77/0.98 assert (zenon_L382_ : ((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((hskp22)\/((hskp6)\/(hskp9))) -> (~(hskp9)) -> (~(hskp6)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((hskp30)\/((hskp14)\/(hskp17))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H222 zenon_H6a zenon_H42 zenon_Hec zenon_He9 zenon_H66 zenon_H9f zenon_H6f zenon_H20a zenon_H231 zenon_H3c zenon_H6b zenon_H235 zenon_H25b zenon_Hd6 zenon_H239 zenon_H238 zenon_H237 zenon_H113 zenon_Hb2 zenon_He5 zenon_H25d zenon_H1b6 zenon_H282 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H2a2 zenon_Hed zenon_H3e zenon_H31 zenon_H2b3 zenon_Hfe zenon_Ha1 zenon_H13c zenon_H1d4 zenon_He2 zenon_H13d zenon_H90 zenon_H20c zenon_H14f zenon_H263 zenon_H271 zenon_H273 zenon_H150. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H280 | zenon_intro zenon_H2b0 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.98 apply (zenon_L370_); trivial. % 0.77/0.98 apply (zenon_L339_); trivial. % 0.77/0.98 apply (zenon_L374_); trivial. % 0.77/0.98 apply (zenon_L20_); trivial. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.98 apply (zenon_L381_); trivial. % 0.77/0.98 apply (zenon_L158_); trivial. % 0.77/0.98 apply (zenon_L20_); trivial. % 0.77/0.98 apply (zenon_L31_); trivial. % 0.77/0.98 (* end of lemma zenon_L382_ *) % 0.77/0.98 assert (zenon_L383_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> (~(hskp6)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (ndr1_0) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H66 zenon_H9f zenon_H1cb zenon_H1cc zenon_H1cd zenon_H6b zenon_H6d zenon_H6f zenon_H12 zenon_H44 zenon_H45 zenon_H46 zenon_H4f zenon_H51. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.77/0.98 apply (zenon_L25_); trivial. % 0.77/0.98 apply (zenon_L365_); trivial. % 0.77/0.98 (* end of lemma zenon_L383_ *) % 0.77/0.98 assert (zenon_L384_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c1_1 (a268))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H90 zenon_H81 zenon_H80 zenon_H7f zenon_H239 zenon_H238 zenon_H1bc zenon_H237 zenon_H12 zenon_H1. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.77/0.98 apply (zenon_L39_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.77/0.98 apply (zenon_L281_); trivial. % 0.77/0.98 exact (zenon_H1 zenon_H2). % 0.77/0.98 (* end of lemma zenon_L384_ *) % 0.77/0.98 assert (zenon_L385_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_H90 zenon_H81 zenon_H80 zenon_H7f zenon_H1f5 zenon_H1f6 zenon_H12 zenon_H1. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.77/0.98 apply (zenon_L384_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.77/0.98 apply (zenon_L39_); trivial. % 0.77/0.98 apply (zenon_L347_); trivial. % 0.77/0.98 (* end of lemma zenon_L385_ *) % 0.77/0.98 assert (zenon_L386_ : ((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H156 zenon_Hfe zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H90 zenon_H239 zenon_H238 zenon_H237 zenon_H1f5 zenon_H1f6 zenon_H1d4. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.98 apply (zenon_L385_); trivial. % 0.77/0.98 apply (zenon_L158_); trivial. % 0.77/0.98 (* end of lemma zenon_L386_ *) % 0.77/0.98 assert (zenon_L387_ : ((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H222 zenon_H150 zenon_Hfe zenon_Ha1 zenon_H90 zenon_H239 zenon_H238 zenon_H237 zenon_H1f5 zenon_H1f6 zenon_H1d4 zenon_H51 zenon_H4f zenon_H46 zenon_H45 zenon_H44 zenon_H6f zenon_H6b zenon_H9f zenon_H66. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.77/0.98 apply (zenon_L383_); trivial. % 0.77/0.98 apply (zenon_L386_); trivial. % 0.77/0.98 (* end of lemma zenon_L387_ *) % 0.77/0.98 assert (zenon_L388_ : ((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((hskp0)\/(hskp10))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H153 zenon_H14e zenon_H226 zenon_H150 zenon_Hfe zenon_Ha1 zenon_H90 zenon_H1d4 zenon_H51 zenon_H4f zenon_H6f zenon_H6b zenon_H9f zenon_Hed zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H1b6 zenon_H25d zenon_H25b zenon_H235 zenon_H27a zenon_H206 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H1c9 zenon_H66 zenon_H20a zenon_He9 zenon_H16f zenon_H237 zenon_H238 zenon_H239 zenon_H1d zenon_H278. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.77/0.98 apply (zenon_L267_); trivial. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/0.98 apply (zenon_L364_); trivial. % 0.77/0.98 apply (zenon_L387_); trivial. % 0.77/0.98 (* end of lemma zenon_L388_ *) % 0.77/0.98 assert (zenon_L389_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18)))))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))) -> (~(hskp16)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H90 zenon_H19f zenon_H19e zenon_H19d zenon_H25 zenon_H1f5 zenon_H1f6 zenon_H12 zenon_H173 zenon_H1. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.77/0.98 apply (zenon_L291_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.77/0.98 apply (zenon_L183_); trivial. % 0.77/0.98 exact (zenon_H1 zenon_H2). % 0.77/0.98 (* end of lemma zenon_L389_ *) % 0.77/0.98 assert (zenon_L390_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18)))))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H1d4 zenon_H140 zenon_H15e zenon_H13f zenon_H90 zenon_H19f zenon_H19e zenon_H19d zenon_H25 zenon_H1f5 zenon_H1f6 zenon_H12 zenon_H1. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.77/0.98 apply (zenon_L137_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.77/0.98 apply (zenon_L291_); trivial. % 0.77/0.98 apply (zenon_L389_); trivial. % 0.77/0.98 (* end of lemma zenon_L390_ *) % 0.77/0.98 assert (zenon_L391_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (~(hskp16)) -> (ndr1_0) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c0_1 (a281))) -> (~(c2_1 (a281))) -> (c3_1 (a281)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp28)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_H1 zenon_H12 zenon_H1f6 zenon_H1f5 zenon_H19d zenon_H19e zenon_H19f zenon_H90 zenon_H13f zenon_H15e zenon_H140 zenon_H1d4 zenon_H127. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H115 | zenon_intro zenon_H12a ]. % 0.77/0.98 apply (zenon_L76_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H25 | zenon_intro zenon_H128 ]. % 0.77/0.98 apply (zenon_L390_); trivial. % 0.77/0.98 exact (zenon_H127 zenon_H128). % 0.77/0.98 (* end of lemma zenon_L391_ *) % 0.77/0.98 assert (zenon_L392_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (ndr1_0) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H13c zenon_H2f zenon_H31 zenon_H12 zenon_H116 zenon_H117 zenon_H118 zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H1 zenon_H90 zenon_H19f zenon_H19e zenon_H19d zenon_H140 zenon_H15e zenon_H13f zenon_H129. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/0.98 apply (zenon_L391_); trivial. % 0.77/0.98 apply (zenon_L295_); trivial. % 0.77/0.98 (* end of lemma zenon_L392_ *) % 0.77/0.98 assert (zenon_L393_ : ((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H222 zenon_H42 zenon_H3e zenon_H3c zenon_H13c zenon_H31 zenon_H116 zenon_H117 zenon_H118 zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H90 zenon_H19f zenon_H19e zenon_H19d zenon_H140 zenon_H15e zenon_H13f zenon_H129 zenon_Ha1 zenon_Hfe. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.98 apply (zenon_L392_); trivial. % 0.77/0.98 apply (zenon_L293_); trivial. % 0.77/0.98 apply (zenon_L20_); trivial. % 0.77/0.98 (* end of lemma zenon_L393_ *) % 0.77/0.98 assert (zenon_L394_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H93 zenon_H92 zenon_H53 zenon_H12 zenon_H7e zenon_H19d zenon_H19e zenon_H19f. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24d | zenon_intro zenon_H272 ]. % 0.77/0.98 apply (zenon_L256_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H9b | zenon_intro zenon_Hca ]. % 0.77/0.98 apply (zenon_L43_); trivial. % 0.77/0.98 apply (zenon_L315_); trivial. % 0.77/0.98 (* end of lemma zenon_L394_ *) % 0.77/0.98 assert (zenon_L395_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp23)) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (c0_1 (a274)) -> (c1_1 (a274)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp18)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H206 zenon_H101 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H204 zenon_H19f zenon_H19e zenon_H19d zenon_H7e zenon_H12 zenon_H92 zenon_H93 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H5. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H207 ]. % 0.77/0.98 apply (zenon_L174_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H53 | zenon_intro zenon_H6 ]. % 0.77/0.98 apply (zenon_L394_); trivial. % 0.77/0.98 exact (zenon_H5 zenon_H6). % 0.77/0.98 (* end of lemma zenon_L395_ *) % 0.77/0.98 assert (zenon_L396_ : ((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (~(hskp18)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(hskp23)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H139 zenon_H1d4 zenon_H140 zenon_H15e zenon_H13f zenon_H5 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H93 zenon_H92 zenon_H19d zenon_H19e zenon_H19f zenon_H204 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H101 zenon_H206. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.77/0.98 apply (zenon_L137_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.77/0.98 apply (zenon_L395_); trivial. % 0.77/0.98 apply (zenon_L103_); trivial. % 0.77/0.98 (* end of lemma zenon_L396_ *) % 0.77/0.98 assert (zenon_L397_ : ((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(hskp4)) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (~(hskp2)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H121 zenon_H122 zenon_H5f zenon_H1cb zenon_H1cc zenon_H1cd zenon_H182 zenon_H118 zenon_H117 zenon_H116 zenon_H11f. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H123. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H106. zenon_intro zenon_H124. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H125. zenon_intro zenon_H107. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H10f | zenon_intro zenon_H126 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H71 | zenon_intro zenon_H183 ]. % 0.77/0.98 apply (zenon_L142_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H105 | zenon_intro zenon_H60 ]. % 0.77/0.98 apply (zenon_L74_); trivial. % 0.77/0.98 exact (zenon_H5f zenon_H60). % 0.77/0.98 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H115 | zenon_intro zenon_H120 ]. % 0.77/0.98 apply (zenon_L76_); trivial. % 0.77/0.98 exact (zenon_H11f zenon_H120). % 0.77/0.98 (* end of lemma zenon_L397_ *) % 0.77/0.98 assert (zenon_L398_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_H90 zenon_H161 zenon_H160 zenon_H15f zenon_H9b zenon_H1f5 zenon_H1f6 zenon_H12 zenon_H1. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.77/0.98 apply (zenon_L282_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.77/0.98 apply (zenon_L99_); trivial. % 0.77/0.98 apply (zenon_L352_); trivial. % 0.77/0.98 (* end of lemma zenon_L398_ *) % 0.77/0.98 assert (zenon_L399_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(hskp16)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H170 zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H19f zenon_H19e zenon_H19d zenon_H271 zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_H90 zenon_H1f5 zenon_H1f6 zenon_H1. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.98 apply (zenon_L142_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.98 apply (zenon_L316_); trivial. % 0.77/0.98 apply (zenon_L398_); trivial. % 0.77/0.98 (* end of lemma zenon_L399_ *) % 0.77/0.98 assert (zenon_L400_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (~(c2_1 (a270))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (ndr1_0) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H16f zenon_Ha1 zenon_H13c zenon_H204 zenon_H1f4 zenon_H271 zenon_H93 zenon_H92 zenon_H239 zenon_H238 zenon_H237 zenon_H206 zenon_H12 zenon_H116 zenon_H117 zenon_H118 zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H1 zenon_H90 zenon_H19f zenon_H19e zenon_H19d zenon_H140 zenon_H15e zenon_H13f zenon_H129 zenon_H182 zenon_H5f zenon_H1cd zenon_H1cc zenon_H1cb zenon_H11f zenon_H122 zenon_H14f. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/0.98 apply (zenon_L391_); trivial. % 0.77/0.98 apply (zenon_L396_); trivial. % 0.77/0.98 apply (zenon_L397_); trivial. % 0.77/0.98 apply (zenon_L399_); trivial. % 0.77/0.98 (* end of lemma zenon_L400_ *) % 0.77/0.98 assert (zenon_L401_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp20)) -> (~(hskp19)) -> (~(c0_1 (a291))) -> (c2_1 (a291)) -> (c3_1 (a291)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp18)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(hskp23)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (ndr1_0) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> False). % 0.77/0.98 do 0 intro. intros zenon_Ha1 zenon_Haf zenon_Had zenon_H286 zenon_H288 zenon_H28f zenon_Hb2 zenon_H5 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H93 zenon_H92 zenon_H19d zenon_H19e zenon_H19f zenon_H204 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H101 zenon_H206 zenon_H12 zenon_Hee zenon_Hef zenon_Hf0. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.98 apply (zenon_L280_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.98 apply (zenon_L395_); trivial. % 0.77/0.98 apply (zenon_L66_); trivial. % 0.77/0.98 (* end of lemma zenon_L401_ *) % 0.77/0.98 assert (zenon_L402_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hc7 zenon_H14f zenon_H122 zenon_H11f zenon_H118 zenon_H117 zenon_H116 zenon_H46 zenon_H45 zenon_H44 zenon_H5f zenon_H182 zenon_H204 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.77/0.98 apply (zenon_L185_); trivial. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H123. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H106. zenon_intro zenon_H124. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H125. zenon_intro zenon_H107. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H10f | zenon_intro zenon_H126 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H71 | zenon_intro zenon_H183 ]. % 0.77/0.98 apply (zenon_L94_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H105 | zenon_intro zenon_H60 ]. % 0.77/0.98 apply (zenon_L74_); trivial. % 0.77/0.98 exact (zenon_H5f zenon_H60). % 0.77/0.98 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H115 | zenon_intro zenon_H120 ]. % 0.77/0.98 apply (zenon_L76_); trivial. % 0.77/0.98 exact (zenon_H11f zenon_H120). % 0.77/0.98 (* end of lemma zenon_L402_ *) % 0.77/0.98 assert (zenon_L403_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H170 zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H19f zenon_H19e zenon_H19d zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_Hee zenon_Hef zenon_Hf0. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.98 apply (zenon_L142_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.98 apply (zenon_L316_); trivial. % 0.77/0.98 apply (zenon_L66_); trivial. % 0.77/0.98 (* end of lemma zenon_L403_ *) % 0.77/0.98 assert (zenon_L404_ : ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a268))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(hskp21)) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hd6 zenon_H239 zenon_H238 zenon_H13 zenon_H237 zenon_H19f zenon_H19e zenon_H19d zenon_H7e zenon_H12 zenon_Hd4. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H88 | zenon_intro zenon_Hd7 ]. % 0.77/0.98 apply (zenon_L253_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 0.77/0.98 apply (zenon_L315_); trivial. % 0.77/0.98 exact (zenon_Hd4 zenon_Hd5). % 0.77/0.98 (* end of lemma zenon_L404_ *) % 0.77/0.98 assert (zenon_L405_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a284)) -> (~(c0_1 (a284))) -> (~(c3_1 (a284))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp21)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (~(c1_1 (a268))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (ndr1_0) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> False). % 0.77/0.98 do 0 intro. intros zenon_Ha1 zenon_H28 zenon_H26 zenon_H27 zenon_H271 zenon_Hd4 zenon_H19d zenon_H19e zenon_H19f zenon_H237 zenon_H13 zenon_H238 zenon_H239 zenon_Hd6 zenon_H12 zenon_Hee zenon_Hef zenon_Hf0. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.98 apply (zenon_L311_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.98 apply (zenon_L404_); trivial. % 0.77/0.98 apply (zenon_L66_); trivial. % 0.77/0.98 (* end of lemma zenon_L405_ *) % 0.77/0.98 assert (zenon_L406_ : (forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))) -> (ndr1_0) -> (~(c3_1 (a284))) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))) -> (c2_1 (a284)) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hca zenon_H12 zenon_H27 zenon_H251 zenon_H28. % 0.77/0.98 generalize (zenon_Hca (a284)). zenon_intro zenon_H2bf. % 0.77/0.98 apply (zenon_imply_s _ _ zenon_H2bf); [ zenon_intro zenon_H11 | zenon_intro zenon_H2c0 ]. % 0.77/0.98 exact (zenon_H11 zenon_H12). % 0.77/0.98 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H2e | zenon_intro zenon_H2c1 ]. % 0.77/0.98 exact (zenon_H27 zenon_H2e). % 0.77/0.98 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2d ]. % 0.77/0.98 generalize (zenon_H251 (a284)). zenon_intro zenon_H2dc. % 0.77/0.98 apply (zenon_imply_s _ _ zenon_H2dc); [ zenon_intro zenon_H11 | zenon_intro zenon_H2dd ]. % 0.77/0.98 exact (zenon_H11 zenon_H12). % 0.77/0.98 apply (zenon_or_s _ _ zenon_H2dd); [ zenon_intro zenon_H2c6 | zenon_intro zenon_H2b ]. % 0.77/0.98 exact (zenon_H2c2 zenon_H2c6). % 0.77/0.98 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 0.77/0.98 exact (zenon_H27 zenon_H2e). % 0.77/0.98 exact (zenon_H2d zenon_H28). % 0.77/0.98 exact (zenon_H2d zenon_H28). % 0.77/0.98 (* end of lemma zenon_L406_ *) % 0.77/0.98 assert (zenon_L407_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c1_1 (a293)) -> (c0_1 (a293)) -> (~(c2_1 (a293))) -> (ndr1_0) -> (~(c3_1 (a284))) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))) -> (c2_1 (a284)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_Hf0 zenon_Hef zenon_Hee zenon_H12 zenon_H27 zenon_H251 zenon_H28. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24d | zenon_intro zenon_H272 ]. % 0.77/0.98 apply (zenon_L256_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H9b | zenon_intro zenon_Hca ]. % 0.77/0.98 apply (zenon_L66_); trivial. % 0.77/0.98 apply (zenon_L406_); trivial. % 0.77/0.98 (* end of lemma zenon_L407_ *) % 0.77/0.98 assert (zenon_L408_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (~(hskp21)) -> (~(c0_1 (a284))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c1_1 (a293)) -> (c0_1 (a293)) -> (~(c2_1 (a293))) -> (ndr1_0) -> (~(c3_1 (a284))) -> (c2_1 (a284)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H25b zenon_Hd6 zenon_H19f zenon_H19e zenon_H19d zenon_Hd4 zenon_H26 zenon_Ha1 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_Hf0 zenon_Hef zenon_Hee zenon_H12 zenon_H27 zenon_H28. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H13 | zenon_intro zenon_H25c ]. % 0.77/0.98 apply (zenon_L405_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H24d | zenon_intro zenon_H251 ]. % 0.77/0.98 apply (zenon_L256_); trivial. % 0.77/0.98 apply (zenon_L407_); trivial. % 0.77/0.98 (* end of lemma zenon_L408_ *) % 0.77/0.98 assert (zenon_L409_ : ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c2_1 (a313))) -> (~(c3_1 (a313))) -> (~(c1_1 (a313))) -> (ndr1_0) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(hskp27)) -> (~(hskp19)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H113 zenon_H125 zenon_H107 zenon_H106 zenon_H12 zenon_H13 zenon_H7a zenon_Had. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H105 | zenon_intro zenon_H114 ]. % 0.77/0.98 apply (zenon_L131_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H7b | zenon_intro zenon_Hae ]. % 0.77/0.98 exact (zenon_H7a zenon_H7b). % 0.77/0.98 exact (zenon_Had zenon_Hae). % 0.77/0.98 (* end of lemma zenon_L409_ *) % 0.77/0.98 assert (zenon_L410_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp19)) -> (~(hskp27)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c3_1 (a313))) -> (~(c2_1 (a313))) -> (~(c1_1 (a313))) -> (ndr1_0) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H20c zenon_Had zenon_H7a zenon_H113 zenon_H107 zenon_H125 zenon_H106 zenon_H12 zenon_Hd9 zenon_Hda zenon_Hdb. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H13 | zenon_intro zenon_H20d ]. % 0.77/0.98 apply (zenon_L409_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1d8 | zenon_intro zenon_Hd8 ]. % 0.77/0.98 apply (zenon_L147_); trivial. % 0.77/0.98 apply (zenon_L60_); trivial. % 0.77/0.98 (* end of lemma zenon_L410_ *) % 0.77/0.98 assert (zenon_L411_ : ((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H121 zenon_He5 zenon_Hb2 zenon_Haf zenon_H113 zenon_Had zenon_Hd9 zenon_Hda zenon_Hdb zenon_H20c. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H123. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H106. zenon_intro zenon_H124. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H125. zenon_intro zenon_H107. % 0.77/0.98 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.98 apply (zenon_L410_); trivial. % 0.77/0.98 apply (zenon_L49_); trivial. % 0.77/0.98 (* end of lemma zenon_L411_ *) % 0.77/0.98 assert (zenon_L412_ : ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (~(c0_1 (a305))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a268))) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hc5 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H239 zenon_H238 zenon_H13 zenon_H237 zenon_H12 zenon_Hc1 zenon_H92 zenon_H93. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hc6 ]. % 0.77/0.98 apply (zenon_L50_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc0 ]. % 0.77/0.98 apply (zenon_L253_); trivial. % 0.77/0.98 apply (zenon_L51_); trivial. % 0.77/0.98 (* end of lemma zenon_L412_ *) % 0.77/0.98 assert (zenon_L413_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c1_1 (a293)) -> (c0_1 (a293)) -> (~(c2_1 (a293))) -> (~(c3_1 (a284))) -> (c2_1 (a284)) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hc7 zenon_H25b zenon_H93 zenon_H92 zenon_Hc1 zenon_Hc5 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_Hf0 zenon_Hef zenon_Hee zenon_H27 zenon_H28. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H13 | zenon_intro zenon_H25c ]. % 0.77/0.98 apply (zenon_L412_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H24d | zenon_intro zenon_H251 ]. % 0.77/0.98 apply (zenon_L256_); trivial. % 0.77/0.98 apply (zenon_L407_); trivial. % 0.77/0.98 (* end of lemma zenon_L413_ *) % 0.77/0.98 assert (zenon_L414_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a284)) -> (~(c0_1 (a284))) -> (~(c3_1 (a284))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H170 zenon_Ha1 zenon_H28 zenon_H26 zenon_H27 zenon_H19f zenon_H19e zenon_H19d zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_Hee zenon_Hef zenon_Hf0. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.98 apply (zenon_L311_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.98 apply (zenon_L316_); trivial. % 0.77/0.98 apply (zenon_L66_); trivial. % 0.77/0.98 (* end of lemma zenon_L414_ *) % 0.77/0.98 assert (zenon_L415_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H42 zenon_Hed zenon_H3e zenon_H3c zenon_H31 zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hb2 zenon_He5 zenon_H263 zenon_H9 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H273 zenon_Hec. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.98 apply (zenon_L164_); trivial. % 0.77/0.98 apply (zenon_L266_); trivial. % 0.77/0.98 apply (zenon_L20_); trivial. % 0.77/0.98 (* end of lemma zenon_L415_ *) % 0.77/0.98 assert (zenon_L416_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp7)) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp22)) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H66 zenon_H208 zenon_H5 zenon_H206 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H3 zenon_Had zenon_H177 zenon_H198 zenon_H1c7 zenon_H27a. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.77/0.98 apply (zenon_L268_); trivial. % 0.77/0.98 apply (zenon_L356_); trivial. % 0.77/0.98 (* end of lemma zenon_L416_ *) % 0.77/0.98 assert (zenon_L417_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> (~(hskp21)) -> (~(hskp10)) -> ((hskp21)\/((hskp10)\/(hskp23))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp19)) -> (~(hskp7)) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H1b6 zenon_H14f zenon_H1dc zenon_Hd4 zenon_Hff zenon_H103 zenon_H27a zenon_H1c7 zenon_H177 zenon_Had zenon_H3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H206 zenon_H5 zenon_H208 zenon_H66. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.98 apply (zenon_L416_); trivial. % 0.77/0.98 apply (zenon_L149_); trivial. % 0.77/0.98 (* end of lemma zenon_L417_ *) % 0.77/0.98 assert (zenon_L418_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp7)) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_He9 zenon_He5 zenon_H182 zenon_H5f zenon_H44 zenon_H45 zenon_H46 zenon_He2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H66 zenon_H208 zenon_H5 zenon_H206 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H3 zenon_Had zenon_H177 zenon_H1c7 zenon_H27a zenon_H103 zenon_Hff zenon_H1dc zenon_H14f zenon_H1b6. % 0.77/0.98 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.98 apply (zenon_L417_); trivial. % 0.77/0.98 apply (zenon_L302_); trivial. % 0.77/0.98 (* end of lemma zenon_L418_ *) % 0.77/0.98 assert (zenon_L419_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_He9 zenon_He5 zenon_H182 zenon_H5f zenon_H44 zenon_H45 zenon_H46 zenon_He2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H66 zenon_H208 zenon_H206 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H3 zenon_H177 zenon_H1c7 zenon_H27a zenon_H103 zenon_Hff zenon_H1dc zenon_H14f zenon_H1b6 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_Hec. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.98 apply (zenon_L418_); trivial. % 0.77/0.98 apply (zenon_L334_); trivial. % 0.77/0.98 apply (zenon_L335_); trivial. % 0.77/0.98 (* end of lemma zenon_L419_ *) % 0.77/0.98 assert (zenon_L420_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> (~(hskp10)) -> ((hskp21)\/((hskp10)\/(hskp23))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H226 zenon_H16f zenon_Hec zenon_H1d4 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H90 zenon_H177 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H208 zenon_H3 zenon_H7 zenon_H1b6 zenon_H14f zenon_H1dc zenon_Hff zenon_H103 zenon_H27a zenon_H206 zenon_H66 zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_He2 zenon_H46 zenon_H45 zenon_H44 zenon_H5f zenon_H182 zenon_He5 zenon_He9 zenon_Hfe. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.98 apply (zenon_L355_); trivial. % 0.77/0.98 apply (zenon_L419_); trivial. % 0.77/0.98 apply (zenon_L299_); trivial. % 0.77/0.98 (* end of lemma zenon_L420_ *) % 0.77/0.98 assert (zenon_L421_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(c0_1 (a281))) -> (~(c2_1 (a281))) -> (c3_1 (a281)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp21)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp19)) -> (~(hskp7)) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H1b6 zenon_H25d zenon_H25b zenon_H239 zenon_H238 zenon_H237 zenon_H13f zenon_H15e zenon_H140 zenon_H1c9 zenon_Hd4 zenon_H235 zenon_H27a zenon_H1c7 zenon_H177 zenon_Had zenon_H3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H206 zenon_H5 zenon_H208 zenon_H66. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.98 apply (zenon_L416_); trivial. % 0.77/0.98 apply (zenon_L308_); trivial. % 0.77/0.98 (* end of lemma zenon_L421_ *) % 0.77/0.98 assert (zenon_L422_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a270))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hed zenon_H1c9 zenon_H1c7 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H237 zenon_H238 zenon_H239 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H113 zenon_Had zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hb2 zenon_He5. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.98 apply (zenon_L115_); trivial. % 0.77/0.98 apply (zenon_L362_); trivial. % 0.77/0.98 (* end of lemma zenon_L422_ *) % 0.77/0.98 assert (zenon_L423_ : ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (~(c0_1 (a305))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hc5 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H1f5 zenon_H1f6 zenon_H173 zenon_H12 zenon_Hc1 zenon_H92 zenon_H93. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hc6 ]. % 0.77/0.98 apply (zenon_L50_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc0 ]. % 0.77/0.98 apply (zenon_L183_); trivial. % 0.77/0.98 apply (zenon_L51_); trivial. % 0.77/0.98 (* end of lemma zenon_L423_ *) % 0.77/0.98 assert (zenon_L424_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hc7 zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_H81 zenon_H80 zenon_H7f zenon_Hc5 zenon_H1f5 zenon_H1f6 zenon_Hc1 zenon_H92 zenon_H93. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.77/0.98 apply (zenon_L361_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.77/0.98 apply (zenon_L39_); trivial. % 0.77/0.98 apply (zenon_L423_); trivial. % 0.77/0.98 (* end of lemma zenon_L424_ *) % 0.77/0.98 assert (zenon_L425_ : ((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H156 zenon_Hfe zenon_Hec zenon_H271 zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_Hed zenon_H90 zenon_H239 zenon_H238 zenon_H237 zenon_H1f5 zenon_H1f6 zenon_H1d4. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.98 apply (zenon_L385_); trivial. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.98 apply (zenon_L115_); trivial. % 0.77/0.98 apply (zenon_L424_); trivial. % 0.77/0.98 apply (zenon_L334_); trivial. % 0.77/0.98 (* end of lemma zenon_L425_ *) % 0.77/0.98 assert (zenon_L426_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H67 zenon_H150 zenon_Hfe zenon_Hec zenon_H271 zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_Hed zenon_H90 zenon_H239 zenon_H238 zenon_H237 zenon_H1f5 zenon_H1f6 zenon_H1d4 zenon_H6b zenon_H6f. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.77/0.98 apply (zenon_L35_); trivial. % 0.77/0.98 apply (zenon_L425_); trivial. % 0.77/0.98 (* end of lemma zenon_L426_ *) % 0.77/0.98 assert (zenon_L427_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H6a zenon_H150 zenon_Hfe zenon_H90 zenon_H1d4 zenon_H6b zenon_H6f zenon_Hec zenon_H273 zenon_H3e zenon_H3c zenon_H271 zenon_H263 zenon_He5 zenon_Hb2 zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c7 zenon_H1c9 zenon_Hed zenon_H42. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.98 apply (zenon_L422_); trivial. % 0.77/0.98 apply (zenon_L266_); trivial. % 0.77/0.98 apply (zenon_L20_); trivial. % 0.77/0.98 apply (zenon_L426_); trivial. % 0.77/0.98 (* end of lemma zenon_L427_ *) % 0.77/0.98 assert (zenon_L428_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H3f zenon_Hec zenon_He9 zenon_He2 zenon_H7c zenon_Hd6 zenon_H46 zenon_H45 zenon_H44 zenon_H5f zenon_H182 zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c7 zenon_H1c9 zenon_Hed. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.98 apply (zenon_L422_); trivial. % 0.77/0.98 apply (zenon_L111_); trivial. % 0.77/0.98 (* end of lemma zenon_L428_ *) % 0.77/0.98 assert (zenon_L429_ : ((ndr1_0)/\((c0_1 (a274))/\((c1_1 (a274))/\(~(c3_1 (a274)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H184 zenon_H151 zenon_Hd6 zenon_H7c zenon_He2 zenon_He9 zenon_H6a zenon_H150 zenon_Hfe zenon_H90 zenon_H1d4 zenon_H6b zenon_H6f zenon_Hec zenon_H273 zenon_H3e zenon_H271 zenon_H263 zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H239 zenon_H238 zenon_H237 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c9 zenon_Hed zenon_H42 zenon_H5f zenon_H182 zenon_H226. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/0.98 apply (zenon_L427_); trivial. % 0.77/0.98 apply (zenon_L299_); trivial. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.98 apply (zenon_L314_); trivial. % 0.77/0.98 apply (zenon_L428_); trivial. % 0.77/0.98 apply (zenon_L426_); trivial. % 0.77/0.98 apply (zenon_L299_); trivial. % 0.77/0.98 (* end of lemma zenon_L429_ *) % 0.77/0.98 assert (zenon_L430_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp19)) -> (~(hskp7)) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H1b6 zenon_H1b4 zenon_H17b zenon_H17a zenon_H179 zenon_H19f zenon_H19e zenon_H19d zenon_H27a zenon_H1c7 zenon_H177 zenon_Had zenon_H3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H206 zenon_H5 zenon_H208 zenon_H66. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.98 apply (zenon_L416_); trivial. % 0.77/0.98 apply (zenon_L170_); trivial. % 0.77/0.98 (* end of lemma zenon_L430_ *) % 0.77/0.98 assert (zenon_L431_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp14)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hec zenon_H31 zenon_H2f zenon_H66 zenon_H208 zenon_H5 zenon_H206 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H3 zenon_H177 zenon_H1c7 zenon_H27a zenon_H19d zenon_H19e zenon_H19f zenon_H179 zenon_H17a zenon_H17b zenon_H1b4 zenon_H1b6. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.98 apply (zenon_L430_); trivial. % 0.77/0.98 apply (zenon_L168_); trivial. % 0.77/0.98 (* end of lemma zenon_L431_ *) % 0.77/0.98 assert (zenon_L432_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H1b6 zenon_H1b4 zenon_H17b zenon_H17a zenon_H179 zenon_H19f zenon_H19e zenon_H19d zenon_H27a zenon_H1c7 zenon_H177 zenon_H3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H206 zenon_H208 zenon_H66 zenon_H2f zenon_H31 zenon_Hec. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.98 apply (zenon_L431_); trivial. % 0.77/0.98 apply (zenon_L335_); trivial. % 0.77/0.98 (* end of lemma zenon_L432_ *) % 0.77/0.98 assert (zenon_L433_ : ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a307)) -> (c0_1 (a307)) -> (~(c1_1 (a307))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c1_1 (a268))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a291))) -> (c2_1 (a291)) -> (c3_1 (a291)) -> False). % 0.77/0.98 do 0 intro. intros zenon_He2 zenon_Hdb zenon_Hda zenon_Hd9 zenon_H239 zenon_H238 zenon_H1bc zenon_H237 zenon_H12 zenon_H71 zenon_H286 zenon_H288 zenon_H28f. % 0.77/0.98 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_He3 ]. % 0.77/0.98 apply (zenon_L60_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H88 | zenon_intro zenon_Ha3 ]. % 0.77/0.98 apply (zenon_L281_); trivial. % 0.77/0.98 apply (zenon_L279_); trivial. % 0.77/0.98 (* end of lemma zenon_L433_ *) % 0.77/0.98 assert (zenon_L434_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (c3_1 (a291)) -> (c2_1 (a291)) -> (~(c0_1 (a291))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c2_1 (a270))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp11)) -> False). % 0.77/0.98 do 0 intro. intros zenon_H1c9 zenon_H237 zenon_H238 zenon_H239 zenon_H28f zenon_H288 zenon_H286 zenon_H71 zenon_H12 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_Hd9 zenon_Hda zenon_Hdb zenon_He2 zenon_H1c7. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1ca ]. % 0.77/0.98 apply (zenon_L433_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c8 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_He3 ]. % 0.77/0.98 apply (zenon_L60_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H88 | zenon_intro zenon_Ha3 ]. % 0.77/0.98 apply (zenon_L182_); trivial. % 0.77/0.98 apply (zenon_L279_); trivial. % 0.77/0.98 exact (zenon_H1c7 zenon_H1c8). % 0.77/0.98 (* end of lemma zenon_L434_ *) % 0.77/0.98 assert (zenon_L435_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> (~(c0_1 (a291))) -> (c2_1 (a291)) -> (c3_1 (a291)) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (~(hskp4)) -> False). % 0.77/0.98 do 0 intro. intros zenon_He4 zenon_H182 zenon_H1c7 zenon_He2 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H286 zenon_H288 zenon_H28f zenon_H239 zenon_H238 zenon_H237 zenon_H1c9 zenon_H17b zenon_H17a zenon_H179 zenon_H5f. % 0.77/0.98 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/0.98 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/0.98 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H71 | zenon_intro zenon_H183 ]. % 0.77/0.98 apply (zenon_L434_); trivial. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H105 | zenon_intro zenon_H60 ]. % 0.77/0.98 apply (zenon_L106_); trivial. % 0.77/0.98 exact (zenon_H5f zenon_H60). % 0.77/0.98 (* end of lemma zenon_L435_ *) % 0.77/0.98 assert (zenon_L436_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a291)) -> (c2_1 (a291)) -> (~(c0_1 (a291))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> False). % 0.77/0.98 do 0 intro. intros zenon_He8 zenon_He9 zenon_He2 zenon_H28f zenon_H288 zenon_H286 zenon_H239 zenon_H238 zenon_H237 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c7 zenon_H1c9 zenon_Hd6 zenon_H46 zenon_H45 zenon_H44 zenon_H179 zenon_H17a zenon_H17b zenon_H5f zenon_H182. % 0.77/0.98 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/0.98 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.98 apply (zenon_L107_); trivial. % 0.77/0.98 apply (zenon_L435_); trivial. % 0.77/0.98 (* end of lemma zenon_L436_ *) % 0.77/0.98 assert (zenon_L437_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c0_1 (a291))) -> (c2_1 (a291)) -> (c3_1 (a291)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_H271 zenon_H1b6 zenon_H1b4 zenon_H17b zenon_H17a zenon_H179 zenon_H19f zenon_H19e zenon_H19d zenon_H27a zenon_H1c7 zenon_H177 zenon_H3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H206 zenon_H208 zenon_H66 zenon_H182 zenon_H5f zenon_H44 zenon_H45 zenon_H46 zenon_Hd6 zenon_H1c9 zenon_H237 zenon_H238 zenon_H239 zenon_H286 zenon_H288 zenon_H28f zenon_He2 zenon_He9 zenon_Hec. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.98 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.98 apply (zenon_L430_); trivial. % 0.77/0.98 apply (zenon_L436_); trivial. % 0.77/0.98 apply (zenon_L335_); trivial. % 0.77/0.98 (* end of lemma zenon_L437_ *) % 0.77/0.98 assert (zenon_L438_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> (~(hskp19)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (ndr1_0) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_He9 zenon_He5 zenon_H182 zenon_H5f zenon_H44 zenon_H45 zenon_H46 zenon_He2 zenon_H179 zenon_H17a zenon_H17b zenon_Had zenon_H113 zenon_Ha1 zenon_H19d zenon_H19e zenon_H19f zenon_Hd6 zenon_H12 zenon_H237 zenon_H238 zenon_H239 zenon_Hee zenon_Hef zenon_Hf0 zenon_H27 zenon_H26 zenon_H28 zenon_H271 zenon_H25b. % 0.77/0.98 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.98 apply (zenon_L408_); trivial. % 0.77/0.98 apply (zenon_L302_); trivial. % 0.77/0.98 (* end of lemma zenon_L438_ *) % 0.77/0.98 assert (zenon_L439_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp14)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a284)) -> (~(c0_1 (a284))) -> (~(c3_1 (a284))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_Hf9 zenon_Hec zenon_H31 zenon_H2f zenon_H1b4 zenon_H25b zenon_H271 zenon_H28 zenon_H26 zenon_H27 zenon_H239 zenon_H238 zenon_H237 zenon_Hd6 zenon_H19f zenon_H19e zenon_H19d zenon_Ha1 zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_He2 zenon_H46 zenon_H45 zenon_H44 zenon_H5f zenon_H182 zenon_He5 zenon_He9. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.98 apply (zenon_L438_); trivial. % 0.77/0.98 apply (zenon_L168_); trivial. % 0.77/0.98 (* end of lemma zenon_L439_ *) % 0.77/0.98 assert (zenon_L440_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (c2_1 (a284)) -> (~(c0_1 (a284))) -> (~(c3_1 (a284))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.77/0.98 do 0 intro. intros zenon_H3f zenon_Hfe zenon_Hec zenon_H129 zenon_H1b4 zenon_H118 zenon_H117 zenon_H116 zenon_H7c zenon_H13c zenon_H25b zenon_H28 zenon_H26 zenon_H27 zenon_Hd6 zenon_Ha1 zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_He2 zenon_H46 zenon_H45 zenon_H44 zenon_H5f zenon_H182 zenon_He5 zenon_He9 zenon_H7 zenon_H3 zenon_H90 zenon_H237 zenon_H238 zenon_H239 zenon_H19d zenon_H19e zenon_H19f zenon_H271 zenon_H1c7 zenon_H1c9 zenon_H16f. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/0.98 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.98 apply (zenon_L319_); trivial. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.98 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.98 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.98 apply (zenon_L438_); trivial. % 0.77/0.98 apply (zenon_L325_); trivial. % 0.77/0.98 (* end of lemma zenon_L440_ *) % 0.77/0.98 assert (zenon_L441_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp7)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H67 zenon_H42 zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_H7c zenon_H13c zenon_H16f zenon_H1c9 zenon_H1c7 zenon_H271 zenon_H19f zenon_H19e zenon_H19d zenon_H239 zenon_H238 zenon_H237 zenon_H90 zenon_H3 zenon_H7 zenon_He9 zenon_He5 zenon_H182 zenon_H5f zenon_H44 zenon_H45 zenon_H46 zenon_He2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Ha1 zenon_Hd6 zenon_H25b zenon_H1b4 zenon_H31 zenon_Hec zenon_Hfe. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.99 apply (zenon_L319_); trivial. % 0.77/0.99 apply (zenon_L439_); trivial. % 0.77/0.99 apply (zenon_L440_); trivial. % 0.77/0.99 (* end of lemma zenon_L441_ *) % 0.77/0.99 assert (zenon_L442_ : ((ndr1_0)/\((c1_1 (a273))/\((c2_1 (a273))/\(~(c0_1 (a273)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a274))/\((c1_1 (a274))/\(~(c3_1 (a274))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp8)) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((hskp15)\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a275)))/\((~(c2_1 (a275)))/\(~(c3_1 (a275))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H1f0 zenon_H225 zenon_Hed zenon_Hc5 zenon_Hb2 zenon_H2bc zenon_H239 zenon_H238 zenon_H237 zenon_H226 zenon_H182 zenon_H5f zenon_Hfe zenon_H1b6 zenon_H1b4 zenon_H17b zenon_H17a zenon_H179 zenon_H27a zenon_H177 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H206 zenon_H208 zenon_H66 zenon_H31 zenon_Hec zenon_H7 zenon_H90 zenon_H271 zenon_H1c9 zenon_H16f zenon_H3e zenon_H42 zenon_H6a zenon_H129 zenon_H7c zenon_H13c zenon_He5 zenon_H113 zenon_Ha1 zenon_H25b zenon_H27e zenon_He9 zenon_He2 zenon_Hd6 zenon_H2de zenon_H151 zenon_H14d. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.77/0.99 apply (zenon_L294_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.99 apply (zenon_L319_); trivial. % 0.77/0.99 apply (zenon_L432_); trivial. % 0.77/0.99 apply (zenon_L20_); trivial. % 0.77/0.99 apply (zenon_L299_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.77/0.99 apply (zenon_L275_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.99 apply (zenon_L319_); trivial. % 0.77/0.99 apply (zenon_L437_); trivial. % 0.77/0.99 apply (zenon_L441_); trivial. % 0.77/0.99 apply (zenon_L299_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.77/0.99 apply (zenon_L294_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.99 apply (zenon_L422_); trivial. % 0.77/0.99 apply (zenon_L168_); trivial. % 0.77/0.99 apply (zenon_L20_); trivial. % 0.77/0.99 apply (zenon_L299_); trivial. % 0.77/0.99 apply (zenon_L326_); trivial. % 0.77/0.99 (* end of lemma zenon_L442_ *) % 0.77/0.99 assert (zenon_L443_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp14)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> False). % 0.77/0.99 do 0 intro. intros zenon_He8 zenon_H31 zenon_H2f zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206. % 0.77/0.99 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H25 | zenon_intro zenon_H30 ]. % 0.77/0.99 apply (zenon_L244_); trivial. % 0.77/0.99 exact (zenon_H2f zenon_H30). % 0.77/0.99 (* end of lemma zenon_L443_ *) % 0.77/0.99 assert (zenon_L444_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp6)) -> (~(hskp9)) -> ((hskp22)\/((hskp6)\/(hskp9))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_Hec zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H1b6 zenon_He5 zenon_Hb2 zenon_H237 zenon_H238 zenon_H239 zenon_Hee zenon_Hef zenon_Hf0 zenon_H113 zenon_H271 zenon_H6b zenon_H3c zenon_H231 zenon_H31 zenon_H2f zenon_H3e zenon_Hed. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.99 apply (zenon_L346_); trivial. % 0.77/0.99 apply (zenon_L443_); trivial. % 0.77/0.99 (* end of lemma zenon_L444_ *) % 0.77/0.99 assert (zenon_L445_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (ndr1_0) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H16f zenon_H1c9 zenon_H1c7 zenon_H140 zenon_H15e zenon_H13f zenon_H51 zenon_H4f zenon_H46 zenon_H45 zenon_H44 zenon_H12 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H66. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.99 apply (zenon_L207_); trivial. % 0.77/0.99 apply (zenon_L153_); trivial. % 0.77/0.99 (* end of lemma zenon_L445_ *) % 0.77/0.99 assert (zenon_L446_ : ((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H156 zenon_Hfe zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H7 zenon_H3 zenon_H211 zenon_H212 zenon_H213 zenon_H208 zenon_H16f. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.99 apply (zenon_L229_); trivial. % 0.77/0.99 apply (zenon_L158_); trivial. % 0.77/0.99 (* end of lemma zenon_L446_ *) % 0.77/0.99 assert (zenon_L447_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp9)) -> (~(hskp11)) -> ((hskp29)\/((hskp9)\/(hskp11))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H66 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_H3c zenon_H1c7 zenon_H2bd. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.77/0.99 apply (zenon_L297_); trivial. % 0.77/0.99 apply (zenon_L206_); trivial. % 0.77/0.99 (* end of lemma zenon_L447_ *) % 0.77/0.99 assert (zenon_L448_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> ((hskp29)\/((hskp9)\/(hskp11))) -> (~(hskp11)) -> (~(hskp9)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H16f zenon_H1c9 zenon_H140 zenon_H15e zenon_H13f zenon_H2bd zenon_H1c7 zenon_H3c zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H66. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.99 apply (zenon_L447_); trivial. % 0.77/0.99 apply (zenon_L153_); trivial. % 0.77/0.99 (* end of lemma zenon_L448_ *) % 0.77/0.99 assert (zenon_L449_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (c2_1 (a337)) -> (c3_1 (a337)) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (c0_1 (a337)) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H2a6 zenon_H297 zenon_H88 zenon_H296 zenon_H12 zenon_H5. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H207 ]. % 0.77/0.99 apply (zenon_L205_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H53 | zenon_intro zenon_H6 ]. % 0.77/0.99 apply (zenon_L366_); trivial. % 0.77/0.99 exact (zenon_H5 zenon_H6). % 0.77/0.99 (* end of lemma zenon_L449_ *) % 0.77/0.99 assert (zenon_L450_ : ((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (~(hskp18)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp16)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H2a3 zenon_H90 zenon_H81 zenon_H80 zenon_H7f zenon_H5 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H1. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H12. zenon_intro zenon_H2a4. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H296. zenon_intro zenon_H2a5. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H2a6. zenon_intro zenon_H297. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.77/0.99 apply (zenon_L39_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.77/0.99 apply (zenon_L449_); trivial. % 0.77/0.99 exact (zenon_H1 zenon_H2). % 0.77/0.99 (* end of lemma zenon_L450_ *) % 0.77/0.99 assert (zenon_L451_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (~(hskp14)) -> (~(hskp17)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H2a2 zenon_H90 zenon_H1 zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H81 zenon_H80 zenon_H7f zenon_H2f zenon_H280 zenon_H282. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a3 ]. % 0.77/0.99 apply (zenon_L277_); trivial. % 0.77/0.99 apply (zenon_L450_); trivial. % 0.77/0.99 (* end of lemma zenon_L451_ *) % 0.77/0.99 assert (zenon_L452_ : ((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (~(hskp6)) -> (~(c0_1 (a281))) -> (c3_1 (a281)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H61 zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H6b zenon_H13f zenon_H140 zenon_H9f zenon_Hee zenon_Hef zenon_Hf0. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H12. zenon_intro zenon_H63. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H54. zenon_intro zenon_H64. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H55. zenon_intro zenon_H56. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.99 apply (zenon_L142_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.77/0.99 apply (zenon_L90_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.77/0.99 apply (zenon_L26_); trivial. % 0.77/0.99 exact (zenon_H6b zenon_H6c). % 0.77/0.99 apply (zenon_L66_); trivial. % 0.77/0.99 (* end of lemma zenon_L452_ *) % 0.77/0.99 assert (zenon_L453_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c0_1 (a281))) -> (c3_1 (a281)) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> False). % 0.77/0.99 do 0 intro. intros zenon_Hf9 zenon_H66 zenon_Ha1 zenon_H13f zenon_H140 zenon_H6b zenon_H9f zenon_H1cd zenon_H1cc zenon_H1cb zenon_H44 zenon_H45 zenon_H46 zenon_H4f zenon_H51. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.77/0.99 apply (zenon_L25_); trivial. % 0.77/0.99 apply (zenon_L452_); trivial. % 0.77/0.99 (* end of lemma zenon_L453_ *) % 0.77/0.99 assert (zenon_L454_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c2_1 (a303)) -> (c1_1 (a303)) -> (~(c3_1 (a303))) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a280)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (~(c1_1 (a280))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H90 zenon_Hcd zenon_Hcc zenon_Hcb zenon_H15f zenon_H160 zenon_H161 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H46 zenon_H89 zenon_H44 zenon_H12 zenon_H1. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.77/0.99 apply (zenon_L350_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.77/0.99 apply (zenon_L40_); trivial. % 0.77/0.99 exact (zenon_H1 zenon_H2). % 0.77/0.99 (* end of lemma zenon_L454_ *) % 0.77/0.99 assert (zenon_L455_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (~(hskp16)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp3)) -> False). % 0.77/0.99 do 0 intro. intros zenon_He8 zenon_H1ba zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1 zenon_H44 zenon_H46 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H161 zenon_H160 zenon_H15f zenon_H90 zenon_H5d. % 0.77/0.99 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H71 | zenon_intro zenon_H1bb ]. % 0.77/0.99 apply (zenon_L142_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H89 | zenon_intro zenon_H5e ]. % 0.77/0.99 apply (zenon_L454_); trivial. % 0.77/0.99 exact (zenon_H5d zenon_H5e). % 0.77/0.99 (* end of lemma zenon_L455_ *) % 0.77/0.99 assert (zenon_L456_ : ((~(hskp7))\/((ndr1_0)/\((c0_1 (a274))/\((c1_1 (a274))/\(~(c3_1 (a274))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> ((hskp29)\/((hskp9)\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((hskp30)\/((hskp14)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp6)) -> ((hskp22)\/((hskp6)\/(hskp9))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((hskp0)\/(hskp10))) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H225 zenon_H7c zenon_H5d zenon_H1ba zenon_H2bd zenon_H273 zenon_H263 zenon_H14f zenon_H20c zenon_H90 zenon_H13d zenon_He2 zenon_H1d4 zenon_H13c zenon_H2b3 zenon_H2a2 zenon_Hc5 zenon_H282 zenon_H25d zenon_Hd6 zenon_H25b zenon_H235 zenon_H20a zenon_He9 zenon_H6a zenon_H42 zenon_H16f zenon_H208 zenon_H213 zenon_H212 zenon_H211 zenon_H7 zenon_Hec zenon_H206 zenon_H1b6 zenon_He5 zenon_Hb2 zenon_H237 zenon_H238 zenon_H239 zenon_H113 zenon_H271 zenon_H6b zenon_H231 zenon_H31 zenon_H3e zenon_Hed zenon_Hfe zenon_H278 zenon_H1d zenon_H1c9 zenon_H51 zenon_H4f zenon_H66 zenon_H9f zenon_H6f zenon_Ha1 zenon_H150 zenon_H226 zenon_H14e zenon_H151. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.99 apply (zenon_L229_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.99 apply (zenon_L444_); trivial. % 0.77/0.99 apply (zenon_L208_); trivial. % 0.77/0.99 apply (zenon_L20_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.77/0.99 apply (zenon_L267_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/0.99 apply (zenon_L445_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.77/0.99 apply (zenon_L383_); trivial. % 0.77/0.99 apply (zenon_L446_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.77/0.99 apply (zenon_L267_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/0.99 apply (zenon_L448_); trivial. % 0.77/0.99 apply (zenon_L382_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.77/0.99 apply (zenon_L267_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/0.99 apply (zenon_L445_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.77/0.99 apply (zenon_L383_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H280 | zenon_intro zenon_H2b0 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.99 apply (zenon_L451_); trivial. % 0.77/0.99 apply (zenon_L156_); trivial. % 0.77/0.99 apply (zenon_L288_); trivial. % 0.77/0.99 apply (zenon_L453_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.99 apply (zenon_L207_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.77/0.99 apply (zenon_L25_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H12. zenon_intro zenon_H63. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H54. zenon_intro zenon_H64. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H55. zenon_intro zenon_H56. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H71 | zenon_intro zenon_H1bb ]. % 0.77/0.99 apply (zenon_L38_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H89 | zenon_intro zenon_H5e ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.99 apply (zenon_L38_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.99 apply (zenon_L90_); trivial. % 0.77/0.99 apply (zenon_L216_); trivial. % 0.77/0.99 exact (zenon_H5d zenon_H5e). % 0.77/0.99 apply (zenon_L49_); trivial. % 0.77/0.99 apply (zenon_L54_); trivial. % 0.77/0.99 apply (zenon_L455_); trivial. % 0.77/0.99 apply (zenon_L453_); trivial. % 0.77/0.99 (* end of lemma zenon_L456_ *) % 0.77/0.99 assert (zenon_L457_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp22)) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H66 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_H198 zenon_H1c7 zenon_H27a. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.77/0.99 apply (zenon_L268_); trivial. % 0.77/0.99 apply (zenon_L206_); trivial. % 0.77/0.99 (* end of lemma zenon_L457_ *) % 0.77/0.99 assert (zenon_L458_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H1b6 zenon_H1b4 zenon_H237 zenon_H238 zenon_H239 zenon_Hee zenon_Hef zenon_Hf0 zenon_H271 zenon_H19f zenon_H19e zenon_H19d zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H66. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.99 apply (zenon_L457_); trivial. % 0.77/0.99 apply (zenon_L271_); trivial. % 0.77/0.99 (* end of lemma zenon_L458_ *) % 0.77/0.99 assert (zenon_L459_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_H208 zenon_H3 zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H19d zenon_H19e zenon_H19f zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H1b4 zenon_H1b6. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.99 apply (zenon_L458_); trivial. % 0.77/0.99 apply (zenon_L208_); trivial. % 0.77/0.99 (* end of lemma zenon_L459_ *) % 0.77/0.99 assert (zenon_L460_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_Hfe zenon_Ha1 zenon_H19d zenon_H19e zenon_H19f zenon_H2f zenon_H31 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H7 zenon_H3 zenon_H211 zenon_H212 zenon_H213 zenon_H208 zenon_H16f. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.99 apply (zenon_L229_); trivial. % 0.77/0.99 apply (zenon_L293_); trivial. % 0.77/0.99 (* end of lemma zenon_L460_ *) % 0.77/0.99 assert (zenon_L461_ : ((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp7)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H222 zenon_H42 zenon_H3e zenon_H3c zenon_H16f zenon_H208 zenon_H213 zenon_H212 zenon_H211 zenon_H3 zenon_H7 zenon_H31 zenon_H19f zenon_H19e zenon_H19d zenon_Ha1 zenon_Hfe. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/0.99 apply (zenon_L460_); trivial. % 0.77/0.99 apply (zenon_L20_); trivial. % 0.77/0.99 (* end of lemma zenon_L461_ *) % 0.77/0.99 assert (zenon_L462_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp7)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H226 zenon_H42 zenon_H3e zenon_H3c zenon_H31 zenon_Ha1 zenon_H16f zenon_H208 zenon_H213 zenon_H212 zenon_H211 zenon_H3 zenon_H7 zenon_H1b6 zenon_H1b4 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H19f zenon_H19e zenon_H19d zenon_H27a zenon_H206 zenon_H66 zenon_Hfe. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.99 apply (zenon_L229_); trivial. % 0.77/0.99 apply (zenon_L459_); trivial. % 0.77/0.99 apply (zenon_L461_); trivial. % 0.77/0.99 (* end of lemma zenon_L462_ *) % 0.77/0.99 assert (zenon_L463_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((hskp29)\/((hskp9)\/(hskp11))) -> (~(hskp11)) -> (~(hskp9)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H16f zenon_H1c9 zenon_H271 zenon_H19f zenon_H19e zenon_H19d zenon_H239 zenon_H238 zenon_H237 zenon_H1 zenon_H90 zenon_H2bd zenon_H1c7 zenon_H3c zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H66. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.99 apply (zenon_L447_); trivial. % 0.77/0.99 apply (zenon_L318_); trivial. % 0.77/0.99 (* end of lemma zenon_L463_ *) % 0.77/0.99 assert (zenon_L464_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp20)) -> (~(hskp19)) -> (~(c0_1 (a291))) -> (c2_1 (a291)) -> (c3_1 (a291)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (ndr1_0) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> False). % 0.77/0.99 do 0 intro. intros zenon_Ha1 zenon_Haf zenon_Had zenon_H286 zenon_H288 zenon_H28f zenon_Hb2 zenon_H19f zenon_H19e zenon_H19d zenon_H15f zenon_H160 zenon_H161 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H12 zenon_Hee zenon_Hef zenon_Hf0. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.99 apply (zenon_L280_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.99 apply (zenon_L316_); trivial. % 0.77/0.99 apply (zenon_L66_); trivial. % 0.77/0.99 (* end of lemma zenon_L464_ *) % 0.77/0.99 assert (zenon_L465_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (~(hskp11)) -> False). % 0.77/0.99 do 0 intro. intros zenon_Hc7 zenon_H1c9 zenon_H93 zenon_H92 zenon_Hc1 zenon_H237 zenon_H238 zenon_H239 zenon_Hc5 zenon_H161 zenon_H160 zenon_H15f zenon_H1c7. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1ca ]. % 0.77/0.99 apply (zenon_L361_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c8 ]. % 0.77/0.99 apply (zenon_L152_); trivial. % 0.77/0.99 exact (zenon_H1c7 zenon_H1c8). % 0.77/0.99 (* end of lemma zenon_L465_ *) % 0.77/0.99 assert (zenon_L466_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c1_1 (a293)) -> (c0_1 (a293)) -> (~(c2_1 (a293))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(c0_1 (a291))) -> (c2_1 (a291)) -> (c3_1 (a291)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H170 zenon_Hec zenon_Ha1 zenon_Hf0 zenon_Hef zenon_Hee zenon_H237 zenon_H238 zenon_H239 zenon_H19d zenon_H19e zenon_H19f zenon_H271 zenon_H286 zenon_H288 zenon_H28f zenon_Hb2 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H1c7 zenon_H1c9 zenon_Hed. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.99 apply (zenon_L464_); trivial. % 0.77/0.99 apply (zenon_L465_); trivial. % 0.77/0.99 apply (zenon_L334_); trivial. % 0.77/0.99 (* end of lemma zenon_L466_ *) % 0.77/0.99 assert (zenon_L467_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c0_1 (a291))) -> (c2_1 (a291)) -> (c3_1 (a291)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_Hec zenon_Ha1 zenon_H286 zenon_H288 zenon_H28f zenon_Hb2 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H1c9 zenon_Hed zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H19d zenon_H19e zenon_H19f zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H1b4 zenon_H1b6. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.99 apply (zenon_L458_); trivial. % 0.77/0.99 apply (zenon_L466_); trivial. % 0.77/0.99 (* end of lemma zenon_L467_ *) % 0.77/0.99 assert (zenon_L468_ : ((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp9)) -> (~(hskp11)) -> ((hskp29)\/((hskp9)\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H2df zenon_Hfe zenon_Hec zenon_Ha1 zenon_Hb2 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_Hed zenon_H27a zenon_H1b4 zenon_H1b6 zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H3c zenon_H1c7 zenon_H2bd zenon_H90 zenon_H237 zenon_H238 zenon_H239 zenon_H19d zenon_H19e zenon_H19f zenon_H271 zenon_H1c9 zenon_H16f. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.99 apply (zenon_L463_); trivial. % 0.77/0.99 apply (zenon_L467_); trivial. % 0.77/0.99 (* end of lemma zenon_L468_ *) % 0.77/0.99 assert (zenon_L469_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp21)) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (c0_1 (a337)) -> (c3_1 (a337)) -> (c2_1 (a337)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (~(hskp18)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_Hd4 zenon_H12 zenon_H7e zenon_H19d zenon_H19e zenon_H19f zenon_H296 zenon_H297 zenon_H2a6 zenon_Hd6 zenon_H5. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H207 ]. % 0.77/0.99 apply (zenon_L205_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H53 | zenon_intro zenon_H6 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_H88 | zenon_intro zenon_Hd7 ]. % 0.77/0.99 apply (zenon_L366_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hd7); [ zenon_intro zenon_Hca | zenon_intro zenon_Hd5 ]. % 0.77/0.99 apply (zenon_L315_); trivial. % 0.77/0.99 exact (zenon_Hd4 zenon_Hd5). % 0.77/0.99 exact (zenon_H5 zenon_H6). % 0.77/0.99 (* end of lemma zenon_L469_ *) % 0.77/0.99 assert (zenon_L470_ : ((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (~(hskp21)) -> (~(hskp18)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp16)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H2a3 zenon_H90 zenon_Hd6 zenon_H19f zenon_H19e zenon_H19d zenon_Hd4 zenon_H5 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H1. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H12. zenon_intro zenon_H2a4. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H296. zenon_intro zenon_H2a5. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H2a6. zenon_intro zenon_H297. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.77/0.99 apply (zenon_L469_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.77/0.99 apply (zenon_L449_); trivial. % 0.77/0.99 exact (zenon_H1 zenon_H2). % 0.77/0.99 (* end of lemma zenon_L470_ *) % 0.77/0.99 assert (zenon_L471_ : ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (~(hskp21)) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp14)) -> (~(hskp17)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H2a2 zenon_H90 zenon_H1 zenon_H211 zenon_H212 zenon_H213 zenon_Hd6 zenon_Hd4 zenon_H19f zenon_H19e zenon_H19d zenon_H5 zenon_H206 zenon_H2f zenon_H280 zenon_H282. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a3 ]. % 0.77/0.99 apply (zenon_L277_); trivial. % 0.77/0.99 apply (zenon_L470_); trivial. % 0.77/0.99 (* end of lemma zenon_L471_ *) % 0.77/0.99 assert (zenon_L472_ : ((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (~(c0_1 (a305))) -> (~(hskp18)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H2a3 zenon_Hc5 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H5 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_Hc1 zenon_H92 zenon_H93. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H12. zenon_intro zenon_H2a4. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H296. zenon_intro zenon_H2a5. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H2a6. zenon_intro zenon_H297. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hc6 ]. % 0.77/0.99 apply (zenon_L50_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc0 ]. % 0.77/0.99 apply (zenon_L449_); trivial. % 0.77/0.99 apply (zenon_L51_); trivial. % 0.77/0.99 (* end of lemma zenon_L472_ *) % 0.77/0.99 assert (zenon_L473_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp14)) -> (~(hskp17)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> False). % 0.77/0.99 do 0 intro. intros zenon_Hc7 zenon_H2a2 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H2f zenon_H280 zenon_H282. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a3 ]. % 0.77/0.99 apply (zenon_L277_); trivial. % 0.77/0.99 apply (zenon_L472_); trivial. % 0.77/0.99 (* end of lemma zenon_L473_ *) % 0.77/0.99 assert (zenon_L474_ : ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (~(c0_1 (a305))) -> (c3_1 (a337)) -> (c0_1 (a337)) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.77/0.99 do 0 intro. intros zenon_Hc5 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H297 zenon_H296 zenon_H173 zenon_H12 zenon_Hc1 zenon_H92 zenon_H93. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hc6 ]. % 0.77/0.99 apply (zenon_L50_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H88 | zenon_intro zenon_Hc0 ]. % 0.77/0.99 apply (zenon_L283_); trivial. % 0.77/0.99 apply (zenon_L51_); trivial. % 0.77/0.99 (* end of lemma zenon_L474_ *) % 0.77/0.99 assert (zenon_L475_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (~(c0_1 (a305))) -> (c3_1 (a337)) -> (c0_1 (a337)) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_H161 zenon_H160 zenon_H15f zenon_H9b zenon_Hc5 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H297 zenon_H296 zenon_H12 zenon_Hc1 zenon_H92 zenon_H93. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.77/0.99 apply (zenon_L361_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.77/0.99 apply (zenon_L99_); trivial. % 0.77/0.99 apply (zenon_L474_); trivial. % 0.77/0.99 (* end of lemma zenon_L475_ *) % 0.77/0.99 assert (zenon_L476_ : ((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (~(c0_1 (a305))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H2a3 zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H19f zenon_H19e zenon_H19d zenon_H271 zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_H161 zenon_H160 zenon_H15f zenon_Hc5 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_Hc1 zenon_H92 zenon_H93. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H12. zenon_intro zenon_H2a4. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H296. zenon_intro zenon_H2a5. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H2a6. zenon_intro zenon_H297. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.99 apply (zenon_L142_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.99 apply (zenon_L316_); trivial. % 0.77/0.99 apply (zenon_L475_); trivial. % 0.77/0.99 (* end of lemma zenon_L476_ *) % 0.77/0.99 assert (zenon_L477_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (~(hskp14)) -> (~(hskp17)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> False). % 0.77/0.99 do 0 intro. intros zenon_Hc7 zenon_H2a2 zenon_Ha1 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_H15f zenon_H160 zenon_H161 zenon_H19d zenon_H19e zenon_H19f zenon_H271 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H2f zenon_H280 zenon_H282. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a3 ]. % 0.77/0.99 apply (zenon_L277_); trivial. % 0.77/0.99 apply (zenon_L476_); trivial. % 0.77/0.99 (* end of lemma zenon_L477_ *) % 0.77/0.99 assert (zenon_L478_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> (~(hskp12)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a281))) -> (c3_1 (a281)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c0_1 (a291))) -> (c2_1 (a291)) -> (c3_1 (a291)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp14)) -> (~(hskp17)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H170 zenon_Hec zenon_H273 zenon_H3e zenon_H3c zenon_H9 zenon_H263 zenon_H2a2 zenon_H1ba zenon_H5d zenon_H13f zenon_H140 zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_H1 zenon_H90 zenon_Ha1 zenon_H286 zenon_H288 zenon_H28f zenon_Hb2 zenon_H2f zenon_H280 zenon_H282 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H271 zenon_H19f zenon_H19e zenon_H19d zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_Hed. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.99 apply (zenon_L286_); trivial. % 0.77/0.99 apply (zenon_L477_); trivial. % 0.77/0.99 apply (zenon_L266_); trivial. % 0.77/0.99 (* end of lemma zenon_L478_ *) % 0.77/0.99 assert (zenon_L479_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (c0_1 (a274)) -> (c1_1 (a274)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp18)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H19f zenon_H19e zenon_H19d zenon_H7e zenon_H12 zenon_H92 zenon_H93 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H5. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H207 ]. % 0.77/0.99 apply (zenon_L205_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H53 | zenon_intro zenon_H6 ]. % 0.77/0.99 apply (zenon_L394_); trivial. % 0.77/0.99 exact (zenon_H5 zenon_H6). % 0.77/0.99 (* end of lemma zenon_L479_ *) % 0.77/0.99 assert (zenon_L480_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (c0_1 (a274)) -> (c1_1 (a274)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_H1cb zenon_H1cc zenon_H1cd zenon_H206 zenon_H237 zenon_H238 zenon_H239 zenon_H92 zenon_H93 zenon_H19d zenon_H19e zenon_H19f zenon_H271 zenon_H213 zenon_H212 zenon_H211 zenon_Ha1. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.99 apply (zenon_L142_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.99 apply (zenon_L479_); trivial. % 0.77/0.99 apply (zenon_L66_); trivial. % 0.77/0.99 apply (zenon_L403_); trivial. % 0.77/0.99 (* end of lemma zenon_L480_ *) % 0.77/0.99 assert (zenon_L481_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(hskp19)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp20)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_He9 zenon_H20a zenon_H66 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H235 zenon_H25b zenon_Hd6 zenon_H239 zenon_H238 zenon_H237 zenon_Had zenon_H113 zenon_Haf zenon_Hb2 zenon_He5 zenon_H25d zenon_H1b6. % 0.77/0.99 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.99 apply (zenon_L457_); trivial. % 0.77/0.99 apply (zenon_L259_); trivial. % 0.77/0.99 apply (zenon_L240_); trivial. % 0.77/0.99 (* end of lemma zenon_L481_ *) % 0.77/0.99 assert (zenon_L482_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((hskp30)\/((hskp14)\/(hskp17))) -> (~(hskp17)) -> (~(hskp14)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_Hec zenon_H31 zenon_He9 zenon_H20a zenon_H66 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H235 zenon_H25b zenon_Hd6 zenon_H239 zenon_H238 zenon_H237 zenon_H113 zenon_Hb2 zenon_He5 zenon_H25d zenon_H1b6 zenon_H282 zenon_H280 zenon_H2f zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H2a2 zenon_Hed. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.99 apply (zenon_L481_); trivial. % 0.77/0.99 apply (zenon_L473_); trivial. % 0.77/0.99 apply (zenon_L443_); trivial. % 0.77/0.99 (* end of lemma zenon_L482_ *) % 0.77/0.99 assert (zenon_L483_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c3_1 (a295)) -> (~(c1_1 (a295))) -> (~(c0_1 (a295))) -> (~(hskp3)) -> False). % 0.77/0.99 do 0 intro. intros zenon_Hc7 zenon_H1ba zenon_H93 zenon_H92 zenon_Hc1 zenon_H44 zenon_H45 zenon_H46 zenon_Hc5 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H5d. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H71 | zenon_intro zenon_H1bb ]. % 0.77/0.99 apply (zenon_L94_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H89 | zenon_intro zenon_H5e ]. % 0.77/0.99 apply (zenon_L287_); trivial. % 0.77/0.99 exact (zenon_H5d zenon_H5e). % 0.77/0.99 (* end of lemma zenon_L483_ *) % 0.77/0.99 assert (zenon_L484_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a295)) -> (~(c1_1 (a295))) -> (~(c0_1 (a295))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_Hed zenon_H1ba zenon_H5d zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H44 zenon_H45 zenon_H46 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H1b6 zenon_H25d zenon_He5 zenon_Hb2 zenon_H113 zenon_Had zenon_H237 zenon_H238 zenon_H239 zenon_Hd6 zenon_H25b zenon_H235 zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H66 zenon_H20a zenon_He9. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.99 apply (zenon_L481_); trivial. % 0.77/0.99 apply (zenon_L483_); trivial. % 0.77/0.99 (* end of lemma zenon_L484_ *) % 0.77/0.99 assert (zenon_L485_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp14)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(c0_1 (a295))) -> (~(c1_1 (a295))) -> (c3_1 (a295)) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_Hec zenon_H31 zenon_H2f zenon_He9 zenon_H20a zenon_H66 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H235 zenon_H25b zenon_Hd6 zenon_H239 zenon_H238 zenon_H237 zenon_H113 zenon_Hb2 zenon_He5 zenon_H25d zenon_H1b6 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H45 zenon_H44 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H5d zenon_H1ba zenon_Hed. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.99 apply (zenon_L484_); trivial. % 0.77/0.99 apply (zenon_L443_); trivial. % 0.77/0.99 (* end of lemma zenon_L485_ *) % 0.77/0.99 assert (zenon_L486_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((hskp30)\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H2b3 zenon_H1ba zenon_H5d zenon_H44 zenon_H45 zenon_H46 zenon_Hec zenon_H31 zenon_He9 zenon_H20a zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H235 zenon_H25b zenon_Hd6 zenon_H239 zenon_H238 zenon_H237 zenon_H113 zenon_Hb2 zenon_He5 zenon_H25d zenon_H1b6 zenon_H282 zenon_H2f zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H2a2 zenon_Hed zenon_H90 zenon_H1 zenon_H19d zenon_H19e zenon_H19f zenon_H271 zenon_H1c9 zenon_H16f. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H280 | zenon_intro zenon_H2b0 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.99 apply (zenon_L482_); trivial. % 0.77/0.99 apply (zenon_L318_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H12. zenon_intro zenon_H2b1. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a9. zenon_intro zenon_H2b2. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2a7. zenon_intro zenon_H2a8. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.99 apply (zenon_L485_); trivial. % 0.77/0.99 apply (zenon_L318_); trivial. % 0.77/0.99 (* end of lemma zenon_L486_ *) % 0.77/0.99 assert (zenon_L487_ : ((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(c0_1 (a305))) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H25e zenon_H25b zenon_H93 zenon_H92 zenon_Hc1 zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_Hc5 zenon_H239 zenon_H238 zenon_H237. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H12. zenon_intro zenon_H25f. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H260. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H252. zenon_intro zenon_H253. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H13 | zenon_intro zenon_H25c ]. % 0.77/0.99 apply (zenon_L412_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H24d | zenon_intro zenon_H251 ]. % 0.77/0.99 apply (zenon_L256_); trivial. % 0.77/0.99 apply (zenon_L257_); trivial. % 0.77/0.99 (* end of lemma zenon_L487_ *) % 0.77/0.99 assert (zenon_L488_ : ((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (~(c0_1 (a305))) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp21)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H1b7 zenon_H25d zenon_H25b zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_H237 zenon_H238 zenon_H239 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_Hd4 zenon_H235. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H233 | zenon_intro zenon_H25e ]. % 0.77/0.99 apply (zenon_L252_); trivial. % 0.77/0.99 apply (zenon_L487_); trivial. % 0.77/0.99 (* end of lemma zenon_L488_ *) % 0.77/0.99 assert (zenon_L489_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (~(c0_1 (a305))) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp21)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H1b6 zenon_H25d zenon_H25b zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_H237 zenon_H238 zenon_H239 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_Hd4 zenon_H235 zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H66. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.99 apply (zenon_L457_); trivial. % 0.77/0.99 apply (zenon_L488_); trivial. % 0.77/0.99 (* end of lemma zenon_L489_ *) % 0.77/0.99 assert (zenon_L490_ : ((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (~(hskp19)) -> (~(c3_1 (a311))) -> (c0_1 (a311)) -> (c2_1 (a311)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp27)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H139 zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_Had zenon_H1ab zenon_H1ac zenon_H1ad zenon_H113 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H7a. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H32 | zenon_intro zenon_H7d ]. % 0.77/0.99 apply (zenon_L17_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H72 | zenon_intro zenon_H7b ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24d | zenon_intro zenon_H272 ]. % 0.77/0.99 apply (zenon_L256_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H9b | zenon_intro zenon_Hca ]. % 0.77/0.99 apply (zenon_L81_); trivial. % 0.77/0.99 apply (zenon_L342_); trivial. % 0.77/0.99 exact (zenon_H7a zenon_H7b). % 0.77/0.99 (* end of lemma zenon_L490_ *) % 0.77/0.99 assert (zenon_L491_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp27)) -> (c2_1 (a311)) -> (c0_1 (a311)) -> (~(c3_1 (a311))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> (~(hskp23)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H13c zenon_H7c zenon_H237 zenon_H238 zenon_H239 zenon_H113 zenon_Had zenon_H7a zenon_H1ad zenon_H1ac zenon_H1ab zenon_H271 zenon_H35 zenon_H34 zenon_H33 zenon_H12 zenon_Hc1 zenon_H92 zenon_H93 zenon_H101 zenon_H13d. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/0.99 apply (zenon_L89_); trivial. % 0.77/0.99 apply (zenon_L490_); trivial. % 0.77/0.99 (* end of lemma zenon_L491_ *) % 0.77/0.99 assert (zenon_L492_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp18)) -> (c1_1 (a276)) -> (c3_1 (a276)) -> (c2_1 (a276)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c1_1 (a268))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H90 zenon_H5 zenon_Ha4 zenon_Ha6 zenon_Ha5 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H239 zenon_H238 zenon_H1bc zenon_H237 zenon_H12 zenon_H1. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.77/0.99 apply (zenon_L234_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.77/0.99 apply (zenon_L281_); trivial. % 0.77/0.99 exact (zenon_H1 zenon_H2). % 0.77/0.99 (* end of lemma zenon_L492_ *) % 0.77/0.99 assert (zenon_L493_ : ((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp16)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp18)) -> (c1_1 (a276)) -> (c3_1 (a276)) -> (c2_1 (a276)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H139 zenon_H1d4 zenon_H1 zenon_H237 zenon_H238 zenon_H239 zenon_H90 zenon_H5 zenon_Ha4 zenon_Ha6 zenon_Ha5 zenon_H211 zenon_H212 zenon_H213 zenon_H206. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.77/0.99 apply (zenon_L492_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.77/0.99 apply (zenon_L234_); trivial. % 0.77/0.99 apply (zenon_L103_); trivial. % 0.77/0.99 (* end of lemma zenon_L493_ *) % 0.77/0.99 assert (zenon_L494_ : ((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> (~(hskp23)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> False). % 0.77/0.99 do 0 intro. intros zenon_Hb1 zenon_H13c zenon_H1d4 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_H237 zenon_H238 zenon_H239 zenon_H1 zenon_H90 zenon_Hc1 zenon_H92 zenon_H93 zenon_H101 zenon_H13d. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/0.99 apply (zenon_L89_); trivial. % 0.77/0.99 apply (zenon_L493_); trivial. % 0.77/0.99 (* end of lemma zenon_L494_ *) % 0.77/0.99 assert (zenon_L495_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (ndr1_0) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(c3_1 (a311))) -> (c0_1 (a311)) -> (c2_1 (a311)) -> (~(hskp19)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_He5 zenon_H1d4 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_H1 zenon_H90 zenon_H13d zenon_H101 zenon_H93 zenon_H92 zenon_Hc1 zenon_H12 zenon_H33 zenon_H34 zenon_H35 zenon_H271 zenon_H1ab zenon_H1ac zenon_H1ad zenon_Had zenon_H113 zenon_H239 zenon_H238 zenon_H237 zenon_H7c zenon_H13c. % 0.77/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.99 apply (zenon_L491_); trivial. % 0.77/0.99 apply (zenon_L494_); trivial. % 0.77/0.99 (* end of lemma zenon_L495_ *) % 0.77/0.99 assert (zenon_L496_ : ((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c0_1 (a305))) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H121 zenon_H20c zenon_H93 zenon_H92 zenon_Hc1 zenon_H237 zenon_H238 zenon_H239 zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_Hc5 zenon_Hd9 zenon_Hda zenon_Hdb. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H123. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H106. zenon_intro zenon_H124. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H125. zenon_intro zenon_H107. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H13 | zenon_intro zenon_H20d ]. % 0.77/0.99 apply (zenon_L412_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1d8 | zenon_intro zenon_Hd8 ]. % 0.77/0.99 apply (zenon_L147_); trivial. % 0.77/0.99 apply (zenon_L60_); trivial. % 0.77/0.99 (* end of lemma zenon_L496_ *) % 0.77/0.99 assert (zenon_L497_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(hskp27)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (ndr1_0) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c1_1 (a303)) -> (c2_1 (a303)) -> (~(c3_1 (a303))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H13c zenon_H7c zenon_H7a zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H35 zenon_H34 zenon_H33 zenon_H12 zenon_H116 zenon_H117 zenon_H118 zenon_H206 zenon_H5 zenon_Hcc zenon_Hcd zenon_Hcb zenon_H213 zenon_H212 zenon_H211 zenon_H129. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/0.99 apply (zenon_L245_); trivial. % 0.77/0.99 apply (zenon_L323_); trivial. % 0.77/0.99 (* end of lemma zenon_L497_ *) % 0.77/0.99 assert (zenon_L498_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_He8 zenon_He5 zenon_H1d4 zenon_H1 zenon_H90 zenon_H129 zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H118 zenon_H117 zenon_H116 zenon_H33 zenon_H34 zenon_H35 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H7c zenon_H13c. % 0.77/0.99 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/0.99 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/0.99 apply (zenon_L497_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/0.99 apply (zenon_L245_); trivial. % 0.77/0.99 apply (zenon_L493_); trivial. % 0.77/0.99 (* end of lemma zenon_L498_ *) % 0.77/0.99 assert (zenon_L499_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_Hec zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_He9 zenon_H20a zenon_H66 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H235 zenon_H25b zenon_Hd6 zenon_H239 zenon_H238 zenon_H237 zenon_H113 zenon_Hb2 zenon_He5 zenon_H25d zenon_H1b6 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H1d4 zenon_H1 zenon_H90 zenon_H13d zenon_H33 zenon_H34 zenon_H35 zenon_H271 zenon_H7c zenon_H13c zenon_H20c zenon_H14f zenon_Hed. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/0.99 apply (zenon_L481_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/0.99 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/0.99 apply (zenon_L489_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/0.99 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/0.99 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/0.99 apply (zenon_L457_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.77/0.99 apply (zenon_L495_); trivial. % 0.77/0.99 apply (zenon_L496_); trivial. % 0.77/0.99 apply (zenon_L498_); trivial. % 0.77/0.99 (* end of lemma zenon_L499_ *) % 0.77/0.99 assert (zenon_L500_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H16f zenon_H1c9 zenon_H19f zenon_H19e zenon_H19d zenon_Hed zenon_H14f zenon_H20c zenon_H13c zenon_H7c zenon_H271 zenon_H35 zenon_H34 zenon_H33 zenon_H13d zenon_H90 zenon_H1 zenon_H1d4 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H1b6 zenon_H25d zenon_He5 zenon_Hb2 zenon_H113 zenon_H237 zenon_H238 zenon_H239 zenon_Hd6 zenon_H25b zenon_H235 zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H66 zenon_H20a zenon_He9 zenon_H116 zenon_H117 zenon_H118 zenon_H129 zenon_Hec. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.99 apply (zenon_L499_); trivial. % 0.77/0.99 apply (zenon_L318_); trivial. % 0.77/0.99 (* end of lemma zenon_L500_ *) % 0.77/0.99 assert (zenon_L501_ : ((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H2df zenon_Hfe zenon_Ha1 zenon_H1b4 zenon_Hec zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_He9 zenon_H20a zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H235 zenon_H25b zenon_Hd6 zenon_H239 zenon_H238 zenon_H237 zenon_H113 zenon_Hb2 zenon_He5 zenon_H25d zenon_H1b6 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H1d4 zenon_H90 zenon_H13d zenon_H33 zenon_H34 zenon_H35 zenon_H271 zenon_H7c zenon_H13c zenon_H20c zenon_H14f zenon_Hed zenon_H19d zenon_H19e zenon_H19f zenon_H1c9 zenon_H16f. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.99 apply (zenon_L500_); trivial. % 0.77/0.99 apply (zenon_L467_); trivial. % 0.77/0.99 (* end of lemma zenon_L501_ *) % 0.77/0.99 assert (zenon_L502_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((hskp15)\/(hskp12))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H3f zenon_H2de zenon_Hfe zenon_Ha1 zenon_H1b4 zenon_Hec zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_He9 zenon_H20a zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H235 zenon_H25b zenon_Hd6 zenon_H239 zenon_H238 zenon_H237 zenon_H113 zenon_Hb2 zenon_He5 zenon_H25d zenon_H1b6 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H1d4 zenon_H90 zenon_H13d zenon_H271 zenon_H7c zenon_H13c zenon_H20c zenon_H14f zenon_Hed zenon_H1c9 zenon_H16f zenon_H19d zenon_H19e zenon_H19f zenon_H9 zenon_H27e. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.77/0.99 apply (zenon_L275_); trivial. % 0.77/0.99 apply (zenon_L501_); trivial. % 0.77/0.99 (* end of lemma zenon_L502_ *) % 0.77/0.99 assert (zenon_L503_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_Ha1 zenon_H27 zenon_H26 zenon_H28 zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H19d zenon_H19e zenon_H19f zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H1b4 zenon_H1b6. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/0.99 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.99 apply (zenon_L458_); trivial. % 0.77/0.99 apply (zenon_L414_); trivial. % 0.77/0.99 (* end of lemma zenon_L503_ *) % 0.77/0.99 assert (zenon_L504_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(hskp14)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295))))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_Hfe zenon_Ha1 zenon_H27 zenon_H26 zenon_H28 zenon_H1b4 zenon_H16f zenon_H1c9 zenon_H271 zenon_H19f zenon_H19e zenon_H19d zenon_H90 zenon_Hed zenon_H2a2 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H2f zenon_H282 zenon_H1b6 zenon_H25d zenon_He5 zenon_Hb2 zenon_H113 zenon_H237 zenon_H238 zenon_H239 zenon_Hd6 zenon_H25b zenon_H235 zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H66 zenon_H20a zenon_He9 zenon_H31 zenon_Hec zenon_H46 zenon_H45 zenon_H44 zenon_H5d zenon_H1ba zenon_H2b3. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/0.99 apply (zenon_L486_); trivial. % 0.77/0.99 apply (zenon_L503_); trivial. % 0.77/0.99 (* end of lemma zenon_L504_ *) % 0.77/0.99 assert (zenon_L505_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (ndr1_0) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.77/0.99 do 0 intro. intros zenon_H16f zenon_H1ba zenon_H5d zenon_H271 zenon_H19f zenon_H19e zenon_H19d zenon_H239 zenon_H238 zenon_H237 zenon_H90 zenon_H1 zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H51 zenon_H4f zenon_H46 zenon_H45 zenon_H44 zenon_H12 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H66. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/0.99 apply (zenon_L207_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H71 | zenon_intro zenon_H1bb ]. % 0.77/0.99 apply (zenon_L142_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H89 | zenon_intro zenon_H5e ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/0.99 apply (zenon_L142_); trivial. % 0.77/0.99 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/0.99 apply (zenon_L316_); trivial. % 0.77/0.99 apply (zenon_L100_); trivial. % 0.77/0.99 exact (zenon_H5d zenon_H5e). % 0.77/0.99 (* end of lemma zenon_L505_ *) % 0.77/0.99 assert (zenon_L506_ : ((ndr1_0)/\((c0_1 (a274))/\((c1_1 (a274))/\(~(c3_1 (a274)))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a275)))/\((~(c2_1 (a275)))/\(~(c3_1 (a275))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((hskp0)\/(hskp10))) -> (~(hskp0)) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((hskp15)\/(hskp12))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((hskp29)\/((hskp9)\/(hskp11))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((hskp30)\/((hskp14)\/(hskp17))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp8)) -> False). % 0.77/0.99 do 0 intro. intros zenon_H184 zenon_H14d zenon_H151 zenon_H4f zenon_H51 zenon_H129 zenon_H13d zenon_H7c zenon_H13c zenon_H20c zenon_H14f zenon_H235 zenon_H25b zenon_H113 zenon_He5 zenon_H25d zenon_H278 zenon_H1d zenon_H6a zenon_H42 zenon_H3e zenon_H31 zenon_H27e zenon_H19f zenon_H19e zenon_H19d zenon_H16f zenon_H1c9 zenon_H271 zenon_H90 zenon_H2bd zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H66 zenon_H1b6 zenon_H1b4 zenon_H27a zenon_Hed zenon_Hc5 zenon_Hb2 zenon_Ha1 zenon_Hec zenon_Hfe zenon_H2de zenon_H2b3 zenon_H2a2 zenon_Hd6 zenon_H282 zenon_H20a zenon_He9 zenon_H1d4 zenon_H5d zenon_H1ba zenon_H263 zenon_H273 zenon_H226 zenon_H14e zenon_H237 zenon_H238 zenon_H239 zenon_H2bc. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.77/0.99 apply (zenon_L294_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/0.99 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.77/0.99 apply (zenon_L267_); trivial. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.77/0.99 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.77/1.00 apply (zenon_L275_); trivial. % 0.77/1.00 apply (zenon_L468_); trivial. % 0.77/1.00 apply (zenon_L31_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.77/1.00 apply (zenon_L275_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H280 | zenon_intro zenon_H2b0 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/1.00 apply (zenon_L471_); trivial. % 0.77/1.00 apply (zenon_L240_); trivial. % 0.77/1.00 apply (zenon_L473_); trivial. % 0.77/1.00 apply (zenon_L478_); trivial. % 0.77/1.00 apply (zenon_L288_); trivial. % 0.77/1.00 apply (zenon_L480_); trivial. % 0.77/1.00 apply (zenon_L20_); trivial. % 0.77/1.00 apply (zenon_L31_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.77/1.00 apply (zenon_L275_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/1.00 apply (zenon_L486_); trivial. % 0.77/1.00 apply (zenon_L467_); trivial. % 0.77/1.00 apply (zenon_L502_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/1.00 apply (zenon_L504_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/1.00 apply (zenon_L500_); trivial. % 0.77/1.00 apply (zenon_L503_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/1.00 apply (zenon_L505_); trivial. % 0.77/1.00 apply (zenon_L480_); trivial. % 0.77/1.00 (* end of lemma zenon_L506_ *) % 0.77/1.00 assert (zenon_L507_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (c3_1 (a281)) -> (~(c0_1 (a281))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a281))) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H208 zenon_H213 zenon_H212 zenon_H211 zenon_H140 zenon_H13f zenon_H13 zenon_H15e zenon_H12 zenon_H3. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H209 ]. % 0.77/1.00 apply (zenon_L205_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H4 ]. % 0.77/1.00 apply (zenon_L138_); trivial. % 0.77/1.00 exact (zenon_H3 zenon_H4). % 0.77/1.00 (* end of lemma zenon_L507_ *) % 0.77/1.00 assert (zenon_L508_ : ((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (~(hskp7)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (c3_1 (a281)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H25e zenon_H25b zenon_H3 zenon_H15e zenon_H13f zenon_H140 zenon_H211 zenon_H212 zenon_H213 zenon_H208 zenon_H239 zenon_H238 zenon_H237. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H12. zenon_intro zenon_H25f. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H260. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H252. zenon_intro zenon_H253. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H13 | zenon_intro zenon_H25c ]. % 0.77/1.00 apply (zenon_L507_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H24d | zenon_intro zenon_H251 ]. % 0.77/1.00 apply (zenon_L256_); trivial. % 0.77/1.00 apply (zenon_L257_); trivial. % 0.77/1.00 (* end of lemma zenon_L508_ *) % 0.77/1.00 assert (zenon_L509_ : ((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (c3_1 (a281)) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp21)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1b7 zenon_H25d zenon_H25b zenon_H239 zenon_H238 zenon_H237 zenon_H211 zenon_H212 zenon_H213 zenon_H15e zenon_H13f zenon_H140 zenon_H3 zenon_H208 zenon_Hd4 zenon_H235. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H233 | zenon_intro zenon_H25e ]. % 0.77/1.00 apply (zenon_L252_); trivial. % 0.77/1.00 apply (zenon_L508_); trivial. % 0.77/1.00 (* end of lemma zenon_L509_ *) % 0.77/1.00 assert (zenon_L510_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (c3_1 (a281)) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp21)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1b6 zenon_H25d zenon_H25b zenon_H239 zenon_H238 zenon_H237 zenon_H15e zenon_H13f zenon_H140 zenon_H3 zenon_H208 zenon_Hd4 zenon_H235 zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H66. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/1.00 apply (zenon_L457_); trivial. % 0.77/1.00 apply (zenon_L509_); trivial. % 0.77/1.00 (* end of lemma zenon_L510_ *) % 0.77/1.00 assert (zenon_L511_ : ((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp18)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hb1 zenon_Ha1 zenon_H44 zenon_H45 zenon_H46 zenon_Hd9 zenon_Hda zenon_Hdb zenon_He2 zenon_H5 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_Hee zenon_Hef zenon_Hf0. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/1.00 apply (zenon_L61_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/1.00 apply (zenon_L234_); trivial. % 0.77/1.00 apply (zenon_L66_); trivial. % 0.77/1.00 (* end of lemma zenon_L511_ *) % 0.77/1.00 assert (zenon_L512_ : ((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1b7 zenon_He5 zenon_Ha1 zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_Hd9 zenon_Hda zenon_Hdb zenon_H44 zenon_H45 zenon_H46 zenon_He2 zenon_H237 zenon_H238 zenon_H239 zenon_Hee zenon_Hef zenon_Hf0 zenon_H113 zenon_Had zenon_H271. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.77/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/1.00 apply (zenon_L343_); trivial. % 0.77/1.00 apply (zenon_L511_); trivial. % 0.77/1.00 (* end of lemma zenon_L512_ *) % 0.77/1.00 assert (zenon_L513_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_He4 zenon_H1b6 zenon_He5 zenon_Ha1 zenon_H44 zenon_H45 zenon_H46 zenon_He2 zenon_H237 zenon_H238 zenon_H239 zenon_Hee zenon_Hef zenon_Hf0 zenon_H113 zenon_Had zenon_H271 zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H66. % 0.77/1.00 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/1.00 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/1.00 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/1.00 apply (zenon_L457_); trivial. % 0.77/1.00 apply (zenon_L512_); trivial. % 0.77/1.00 (* end of lemma zenon_L513_ *) % 0.77/1.00 assert (zenon_L514_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> (c3_1 (a281)) -> (~(c0_1 (a281))) -> (~(c2_1 (a281))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hfe zenon_He9 zenon_He5 zenon_Ha1 zenon_H44 zenon_H45 zenon_H46 zenon_He2 zenon_H113 zenon_H271 zenon_H66 zenon_H206 zenon_H1c7 zenon_H27a zenon_H235 zenon_H140 zenon_H13f zenon_H15e zenon_H237 zenon_H238 zenon_H239 zenon_H25b zenon_H25d zenon_H1b6 zenon_Hec zenon_H7 zenon_H3 zenon_H211 zenon_H212 zenon_H213 zenon_H208 zenon_H16f. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/1.00 apply (zenon_L229_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/1.00 apply (zenon_L510_); trivial. % 0.77/1.00 apply (zenon_L513_); trivial. % 0.77/1.00 apply (zenon_L334_); trivial. % 0.77/1.00 apply (zenon_L208_); trivial. % 0.77/1.00 (* end of lemma zenon_L514_ *) % 0.77/1.00 assert (zenon_L515_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(hskp12)) -> (~(hskp7)) -> (~(c0_1 (a271))) -> (~(c3_1 (a271))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp7)\/(hskp12))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(c0_1 (a273))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H129 zenon_H9 zenon_H3 zenon_H187 zenon_H189 zenon_H1d6 zenon_H19f zenon_H19e zenon_H7e zenon_H19d zenon_H12 zenon_H127. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H115 | zenon_intro zenon_H12a ]. % 0.77/1.00 apply (zenon_L144_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H25 | zenon_intro zenon_H128 ]. % 0.77/1.00 apply (zenon_L291_); trivial. % 0.77/1.00 exact (zenon_H127 zenon_H128). % 0.77/1.00 (* end of lemma zenon_L515_ *) % 0.77/1.00 assert (zenon_L516_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp19)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(hskp27)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (ndr1_0) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (~(c0_1 (a271))) -> (~(c3_1 (a271))) -> (~(hskp7)) -> (~(hskp12)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp7)\/(hskp12))) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H13c zenon_H177 zenon_Had zenon_H7c zenon_H7a zenon_H44 zenon_H46 zenon_H45 zenon_H35 zenon_H34 zenon_H33 zenon_H12 zenon_H129 zenon_H19f zenon_H19e zenon_H19d zenon_H187 zenon_H189 zenon_H3 zenon_H9 zenon_H1d6 zenon_Hee zenon_Hef zenon_Hf0 zenon_Ha1. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/1.00 apply (zenon_L38_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/1.00 apply (zenon_L515_); trivial. % 0.77/1.00 apply (zenon_L66_); trivial. % 0.77/1.00 apply (zenon_L104_); trivial. % 0.77/1.00 (* end of lemma zenon_L516_ *) % 0.77/1.00 assert (zenon_L517_ : ((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (~(hskp18)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hb1 zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H5 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_Hee zenon_Hef zenon_Hf0. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/1.00 apply (zenon_L142_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/1.00 apply (zenon_L234_); trivial. % 0.77/1.00 apply (zenon_L66_); trivial. % 0.77/1.00 (* end of lemma zenon_L517_ *) % 0.77/1.00 assert (zenon_L518_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp7)\/(hskp12))) -> (~(hskp12)) -> (~(hskp7)) -> (~(c3_1 (a271))) -> (~(c0_1 (a271))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_He5 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H1cd zenon_H1cc zenon_H1cb zenon_Ha1 zenon_H1d6 zenon_H9 zenon_H3 zenon_H189 zenon_H187 zenon_H19d zenon_H19e zenon_H19f zenon_H129 zenon_H33 zenon_H34 zenon_H35 zenon_H45 zenon_H46 zenon_H44 zenon_H7c zenon_H177 zenon_H13c zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_Hec. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/1.00 apply (zenon_L516_); trivial. % 0.77/1.00 apply (zenon_L517_); trivial. % 0.77/1.00 apply (zenon_L334_); trivial. % 0.77/1.00 apply (zenon_L403_); trivial. % 0.77/1.00 (* end of lemma zenon_L518_ *) % 0.77/1.00 assert (zenon_L519_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (~(hskp7)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (c3_1 (a281)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(c3_1 (a284))) -> (c2_1 (a284)) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hf9 zenon_H25b zenon_H3 zenon_H15e zenon_H13f zenon_H140 zenon_H211 zenon_H212 zenon_H213 zenon_H208 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H27 zenon_H28. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H13 | zenon_intro zenon_H25c ]. % 0.77/1.00 apply (zenon_L507_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H24d | zenon_intro zenon_H251 ]. % 0.77/1.00 apply (zenon_L256_); trivial. % 0.77/1.00 apply (zenon_L407_); trivial. % 0.77/1.00 (* end of lemma zenon_L519_ *) % 0.77/1.00 assert (zenon_L520_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (c3_1 (a281)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H67 zenon_Hfe zenon_H25b zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H15e zenon_H13f zenon_H140 zenon_H7 zenon_H3 zenon_H211 zenon_H212 zenon_H213 zenon_H208 zenon_H16f. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/1.00 apply (zenon_L229_); trivial. % 0.77/1.00 apply (zenon_L519_); trivial. % 0.77/1.00 (* end of lemma zenon_L520_ *) % 0.77/1.00 assert (zenon_L521_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp21)) -> (~(hskp10)) -> ((hskp21)\/((hskp10)\/(hskp23))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1b6 zenon_H14f zenon_H1dc zenon_H3 zenon_Hd4 zenon_Hff zenon_H103 zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H66. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/1.00 apply (zenon_L457_); trivial. % 0.77/1.00 apply (zenon_L149_); trivial. % 0.77/1.00 (* end of lemma zenon_L521_ *) % 0.77/1.00 assert (zenon_L522_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hfe zenon_He9 zenon_He5 zenon_Ha1 zenon_H44 zenon_H45 zenon_H46 zenon_He2 zenon_H237 zenon_H238 zenon_H239 zenon_H113 zenon_H271 zenon_H66 zenon_H206 zenon_H1c7 zenon_H27a zenon_H103 zenon_Hff zenon_H1dc zenon_H14f zenon_H1b6 zenon_Hec zenon_H7 zenon_H3 zenon_H211 zenon_H212 zenon_H213 zenon_H208 zenon_H16f. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/1.00 apply (zenon_L229_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/1.00 apply (zenon_L521_); trivial. % 0.77/1.00 apply (zenon_L513_); trivial. % 0.77/1.00 apply (zenon_L334_); trivial. % 0.77/1.00 apply (zenon_L208_); trivial. % 0.77/1.00 (* end of lemma zenon_L522_ *) % 0.77/1.00 assert (zenon_L523_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hec zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_Hee zenon_Hef zenon_Hf0 zenon_Ha1 zenon_He5. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/1.00 apply (zenon_L114_); trivial. % 0.77/1.00 apply (zenon_L517_); trivial. % 0.77/1.00 apply (zenon_L334_); trivial. % 0.77/1.00 (* end of lemma zenon_L523_ *) % 0.77/1.00 assert (zenon_L524_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_H208 zenon_H3 zenon_He5 zenon_Ha1 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_Hec. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.00 apply (zenon_L523_); trivial. % 0.77/1.00 apply (zenon_L208_); trivial. % 0.77/1.00 (* end of lemma zenon_L524_ *) % 0.77/1.00 assert (zenon_L525_ : ((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H222 zenon_Hfe zenon_He5 zenon_Ha1 zenon_H206 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_Hec zenon_H7 zenon_H3 zenon_H211 zenon_H212 zenon_H213 zenon_H208 zenon_H16f. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/1.00 apply (zenon_L229_); trivial. % 0.77/1.00 apply (zenon_L524_); trivial. % 0.77/1.00 (* end of lemma zenon_L525_ *) % 0.77/1.00 assert (zenon_L526_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp7)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> (~(hskp10)) -> ((hskp21)\/((hskp10)\/(hskp23))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H226 zenon_H179 zenon_H17a zenon_H17b zenon_H16f zenon_H208 zenon_H213 zenon_H212 zenon_H211 zenon_H3 zenon_H7 zenon_Hec zenon_H1b6 zenon_H14f zenon_H1dc zenon_Hff zenon_H103 zenon_H27a zenon_H206 zenon_H66 zenon_H271 zenon_H113 zenon_H239 zenon_H238 zenon_H237 zenon_He2 zenon_H46 zenon_H45 zenon_H44 zenon_Ha1 zenon_He5 zenon_He9 zenon_Hfe. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/1.00 apply (zenon_L522_); trivial. % 0.77/1.00 apply (zenon_L525_); trivial. % 0.77/1.00 (* end of lemma zenon_L526_ *) % 0.77/1.00 assert (zenon_L527_ : ((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H153 zenon_H14e zenon_H25d zenon_H25b zenon_H235 zenon_Hfe zenon_He9 zenon_He5 zenon_Ha1 zenon_He2 zenon_H237 zenon_H238 zenon_H239 zenon_H113 zenon_H271 zenon_H66 zenon_H206 zenon_H27a zenon_H103 zenon_H1dc zenon_H14f zenon_H1b6 zenon_Hec zenon_H7 zenon_H3 zenon_H211 zenon_H212 zenon_H213 zenon_H208 zenon_H16f zenon_H17b zenon_H17a zenon_H179 zenon_H226. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.77/1.00 apply (zenon_L526_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/1.00 apply (zenon_L514_); trivial. % 0.77/1.00 apply (zenon_L525_); trivial. % 0.77/1.00 (* end of lemma zenon_L527_ *) % 0.77/1.00 assert (zenon_L528_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp14)\/(hskp17))) -> (~(hskp17)) -> (~(hskp14)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hec zenon_H31 zenon_He5 zenon_Hb2 zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H282 zenon_H280 zenon_H2f zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H2a2 zenon_Hed. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/1.00 apply (zenon_L115_); trivial. % 0.77/1.00 apply (zenon_L473_); trivial. % 0.77/1.00 apply (zenon_L443_); trivial. % 0.77/1.00 (* end of lemma zenon_L528_ *) % 0.77/1.00 assert (zenon_L529_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hed zenon_H1c9 zenon_H1c7 zenon_H161 zenon_H160 zenon_H15f zenon_H237 zenon_H238 zenon_H239 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H113 zenon_Had zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hb2 zenon_He5. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/1.00 apply (zenon_L115_); trivial. % 0.77/1.00 apply (zenon_L465_); trivial. % 0.77/1.00 (* end of lemma zenon_L529_ *) % 0.77/1.00 assert (zenon_L530_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(c2_1 (a298))) -> (ndr1_0) -> (~(c3_1 (a284))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H161 zenon_H160 zenon_H7e zenon_H15f zenon_H12 zenon_H27 zenon_H71 zenon_H26 zenon_H28. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24d | zenon_intro zenon_H272 ]. % 0.77/1.00 apply (zenon_L256_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H9b | zenon_intro zenon_Hca ]. % 0.77/1.00 apply (zenon_L99_); trivial. % 0.77/1.00 apply (zenon_L310_); trivial. % 0.77/1.00 (* end of lemma zenon_L530_ *) % 0.77/1.00 assert (zenon_L531_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c2_1 (a284)) -> (~(c0_1 (a284))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c3_1 (a284))) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a268))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H90 zenon_H28 zenon_H26 zenon_H71 zenon_H27 zenon_H15f zenon_H160 zenon_H161 zenon_H271 zenon_H239 zenon_H238 zenon_H13 zenon_H237 zenon_H12 zenon_H1. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.77/1.00 apply (zenon_L530_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.77/1.00 apply (zenon_L253_); trivial. % 0.77/1.00 exact (zenon_H1 zenon_H2). % 0.77/1.00 (* end of lemma zenon_L531_ *) % 0.77/1.00 assert (zenon_L532_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> (c2_1 (a303)) -> (c1_1 (a303)) -> (~(c3_1 (a303))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (c3_1 (a337)) -> (c0_1 (a337)) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/1.00 do 0 intro. intros zenon_Ha1 zenon_H13 zenon_H27 zenon_H26 zenon_H28 zenon_Hcd zenon_Hcc zenon_Hcb zenon_H271 zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_H90 zenon_H161 zenon_H160 zenon_H15f zenon_H297 zenon_H296 zenon_H12 zenon_H1. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/1.00 apply (zenon_L531_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/1.00 apply (zenon_L350_); trivial. % 0.77/1.00 apply (zenon_L285_); trivial. % 0.77/1.00 (* end of lemma zenon_L532_ *) % 0.77/1.00 assert (zenon_L533_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c2_1 (a284)) -> (~(c0_1 (a284))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c3_1 (a284))) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c1_1 (a268))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H90 zenon_H28 zenon_H26 zenon_H71 zenon_H27 zenon_H15f zenon_H160 zenon_H161 zenon_H271 zenon_H239 zenon_H238 zenon_H1bc zenon_H237 zenon_H12 zenon_H1. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.77/1.00 apply (zenon_L530_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.77/1.00 apply (zenon_L281_); trivial. % 0.77/1.00 exact (zenon_H1 zenon_H2). % 0.77/1.00 (* end of lemma zenon_L533_ *) % 0.77/1.00 assert (zenon_L534_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp16)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(c3_1 (a284))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1c9 zenon_H1 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H27 zenon_H71 zenon_H26 zenon_H28 zenon_H90 zenon_H161 zenon_H160 zenon_H15f zenon_H12 zenon_H1c7. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1ca ]. % 0.77/1.00 apply (zenon_L533_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c8 ]. % 0.77/1.00 apply (zenon_L152_); trivial. % 0.77/1.00 exact (zenon_H1c7 zenon_H1c8). % 0.77/1.00 (* end of lemma zenon_L534_ *) % 0.77/1.00 assert (zenon_L535_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(c2_1 (a298))) -> (ndr1_0) -> (~(c3_1 (a284))) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))) -> (c2_1 (a284)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H161 zenon_H160 zenon_H7e zenon_H15f zenon_H12 zenon_H27 zenon_H251 zenon_H28. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24d | zenon_intro zenon_H272 ]. % 0.77/1.00 apply (zenon_L256_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H9b | zenon_intro zenon_Hca ]. % 0.77/1.00 apply (zenon_L99_); trivial. % 0.77/1.00 apply (zenon_L406_); trivial. % 0.77/1.00 (* end of lemma zenon_L535_ *) % 0.77/1.00 assert (zenon_L536_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp14)) -> (~(hskp17)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H170 zenon_Hec zenon_H2a2 zenon_H25b zenon_H90 zenon_H1 zenon_H27 zenon_H26 zenon_H28 zenon_H271 zenon_H1d4 zenon_Ha1 zenon_H2f zenon_H280 zenon_H282 zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H1c7 zenon_H1c9 zenon_Hed. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.00 apply (zenon_L529_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a3 ]. % 0.77/1.00 apply (zenon_L277_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H12. zenon_intro zenon_H2a4. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H296. zenon_intro zenon_H2a5. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H2a6. zenon_intro zenon_H297. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H13 | zenon_intro zenon_H25c ]. % 0.77/1.00 apply (zenon_L532_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H24d | zenon_intro zenon_H251 ]. % 0.77/1.00 apply (zenon_L256_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/1.00 apply (zenon_L534_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/1.00 apply (zenon_L535_); trivial. % 0.77/1.00 apply (zenon_L285_); trivial. % 0.77/1.00 (* end of lemma zenon_L536_ *) % 0.77/1.00 assert (zenon_L537_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp14)) -> (~(hskp17)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H16f zenon_H25b zenon_H90 zenon_H1 zenon_H27 zenon_H26 zenon_H28 zenon_H271 zenon_H1d4 zenon_Ha1 zenon_H239 zenon_H238 zenon_H237 zenon_H1c7 zenon_H1c9 zenon_Hed zenon_H2a2 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H2f zenon_H280 zenon_H282 zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hb2 zenon_He5 zenon_H31 zenon_Hec. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.00 apply (zenon_L528_); trivial. % 0.77/1.00 apply (zenon_L536_); trivial. % 0.77/1.00 (* end of lemma zenon_L537_ *) % 0.77/1.00 assert (zenon_L538_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c0_1 (a305))) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_He4 zenon_H14f zenon_H20c zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_Hc5 zenon_H113 zenon_Had zenon_H17b zenon_H17a zenon_H179 zenon_H13d zenon_H93 zenon_H92 zenon_Hc1 zenon_H90 zenon_H1 zenon_H239 zenon_H238 zenon_H237 zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H1d4 zenon_H13c zenon_He5. % 0.77/1.00 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/1.00 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/1.00 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/1.00 apply (zenon_L114_); trivial. % 0.77/1.00 apply (zenon_L494_); trivial. % 0.77/1.00 apply (zenon_L496_); trivial. % 0.77/1.00 (* end of lemma zenon_L538_ *) % 0.77/1.00 assert (zenon_L539_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hed zenon_H14f zenon_H20c zenon_H17b zenon_H17a zenon_H179 zenon_H13d zenon_H90 zenon_H1 zenon_H1d4 zenon_H13c zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H1b6 zenon_H25d zenon_He5 zenon_Hb2 zenon_H113 zenon_Had zenon_H237 zenon_H238 zenon_H239 zenon_Hd6 zenon_H25b zenon_H235 zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H66 zenon_H20a zenon_He9. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/1.00 apply (zenon_L481_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/1.00 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/1.00 apply (zenon_L489_); trivial. % 0.77/1.00 apply (zenon_L538_); trivial. % 0.77/1.00 (* end of lemma zenon_L539_ *) % 0.77/1.00 assert (zenon_L540_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp14)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hec zenon_H31 zenon_H2f zenon_He9 zenon_H20a zenon_H66 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H235 zenon_H25b zenon_Hd6 zenon_H239 zenon_H238 zenon_H237 zenon_H113 zenon_Hb2 zenon_He5 zenon_H25d zenon_H1b6 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H13c zenon_H1d4 zenon_H1 zenon_H90 zenon_H13d zenon_H179 zenon_H17a zenon_H17b zenon_H20c zenon_H14f zenon_Hed. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.00 apply (zenon_L539_); trivial. % 0.77/1.00 apply (zenon_L443_); trivial. % 0.77/1.00 (* end of lemma zenon_L540_ *) % 0.77/1.00 assert (zenon_L541_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (c1_1 (a303)) -> (c2_1 (a303)) -> (~(c3_1 (a303))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (~(hskp28)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_Hcc zenon_Hcd zenon_Hcb zenon_H12 zenon_H53 zenon_H127. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H115 | zenon_intro zenon_H12a ]. % 0.77/1.00 apply (zenon_L76_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H25 | zenon_intro zenon_H128 ]. % 0.77/1.00 apply (zenon_L243_); trivial. % 0.77/1.00 exact (zenon_H127 zenon_H128). % 0.77/1.00 (* end of lemma zenon_L541_ *) % 0.77/1.00 assert (zenon_L542_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c3_1 (a295)) -> (~(c1_1 (a295))) -> (~(c0_1 (a295))) -> (~(hskp28)) -> (ndr1_0) -> (~(c3_1 (a303))) -> (c2_1 (a303)) -> (c1_1 (a303)) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(hskp6)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H9f zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H127 zenon_H12 zenon_Hcb zenon_Hcd zenon_Hcc zenon_H116 zenon_H117 zenon_H118 zenon_H129 zenon_H6b. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.77/1.00 apply (zenon_L287_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.77/1.00 apply (zenon_L541_); trivial. % 0.77/1.00 exact (zenon_H6b zenon_H6c). % 0.77/1.00 (* end of lemma zenon_L542_ *) % 0.77/1.00 assert (zenon_L543_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp16)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (ndr1_0) -> (c0_1 (a278)) -> (c1_1 (a278)) -> (c3_1 (a278)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1d4 zenon_H1 zenon_H237 zenon_H238 zenon_H239 zenon_H90 zenon_H161 zenon_H160 zenon_H15f zenon_H9b zenon_H12 zenon_H12b zenon_H12d zenon_H12c. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.77/1.00 apply (zenon_L282_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.77/1.00 apply (zenon_L99_); trivial. % 0.77/1.00 apply (zenon_L103_); trivial. % 0.77/1.00 (* end of lemma zenon_L543_ *) % 0.77/1.00 assert (zenon_L544_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> (c2_1 (a303)) -> (c1_1 (a303)) -> (~(c3_1 (a303))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp16)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (ndr1_0) -> (c0_1 (a278)) -> (c1_1 (a278)) -> (c3_1 (a278)) -> False). % 0.77/1.00 do 0 intro. intros zenon_Ha1 zenon_H13 zenon_H27 zenon_H26 zenon_H28 zenon_Hcd zenon_Hcc zenon_Hcb zenon_H271 zenon_H1d4 zenon_H1 zenon_H237 zenon_H238 zenon_H239 zenon_H90 zenon_H161 zenon_H160 zenon_H15f zenon_H12 zenon_H12b zenon_H12d zenon_H12c. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/1.00 apply (zenon_L531_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/1.00 apply (zenon_L350_); trivial. % 0.77/1.00 apply (zenon_L543_); trivial. % 0.77/1.00 (* end of lemma zenon_L544_ *) % 0.77/1.00 assert (zenon_L545_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp16)) -> (~(c3_1 (a303))) -> (c1_1 (a303)) -> (c2_1 (a303)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c2_1 (a284)) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))) -> (~(c3_1 (a284))) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (ndr1_0) -> (c0_1 (a278)) -> (c1_1 (a278)) -> (c3_1 (a278)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1d4 zenon_H1 zenon_Hcb zenon_Hcc zenon_Hcd zenon_H90 zenon_H28 zenon_H251 zenon_H27 zenon_H15f zenon_H160 zenon_H161 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H12 zenon_H12b zenon_H12d zenon_H12c. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.77/1.00 apply (zenon_L351_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.77/1.00 apply (zenon_L535_); trivial. % 0.77/1.00 apply (zenon_L103_); trivial. % 0.77/1.00 (* end of lemma zenon_L545_ *) % 0.77/1.00 assert (zenon_L546_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c0_1 (a295))) -> (~(c1_1 (a295))) -> (c3_1 (a295)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H170 zenon_Hec zenon_H13c zenon_H25b zenon_H90 zenon_H1 zenon_H27 zenon_H26 zenon_H28 zenon_H271 zenon_H1d4 zenon_Ha1 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_H6b zenon_H9f zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H1c7 zenon_H1c9 zenon_Hed. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.00 apply (zenon_L529_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/1.00 apply (zenon_L542_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H13 | zenon_intro zenon_H25c ]. % 0.77/1.00 apply (zenon_L544_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H24d | zenon_intro zenon_H251 ]. % 0.77/1.00 apply (zenon_L256_); trivial. % 0.77/1.00 apply (zenon_L545_); trivial. % 0.77/1.00 (* end of lemma zenon_L546_ *) % 0.77/1.00 assert (zenon_L547_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a284)) -> (~(c3_1 (a284))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hf9 zenon_Hec zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H271 zenon_H28 zenon_H27 zenon_H25b zenon_Hed. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/1.00 apply (zenon_L115_); trivial. % 0.77/1.00 apply (zenon_L413_); trivial. % 0.77/1.00 apply (zenon_L334_); trivial. % 0.77/1.00 (* end of lemma zenon_L547_ *) % 0.77/1.00 assert (zenon_L548_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp14)\/(hskp17))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H67 zenon_H42 zenon_H3e zenon_H3c zenon_H2b3 zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_H6b zenon_H9f zenon_H14f zenon_H20c zenon_H13d zenon_H13c zenon_H1b6 zenon_H25d zenon_Hd6 zenon_H235 zenon_H27a zenon_H66 zenon_H20a zenon_He9 zenon_Hec zenon_H31 zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H282 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H2a2 zenon_Hed zenon_H1c9 zenon_H1c7 zenon_H237 zenon_H238 zenon_H239 zenon_Ha1 zenon_H1d4 zenon_H271 zenon_H90 zenon_H25b zenon_H16f zenon_Hfe. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H280 | zenon_intro zenon_H2b0 ]. % 0.77/1.00 apply (zenon_L537_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H12. zenon_intro zenon_H2b1. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a9. zenon_intro zenon_H2b2. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2a7. zenon_intro zenon_H2a8. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.00 apply (zenon_L540_); trivial. % 0.77/1.00 apply (zenon_L546_); trivial. % 0.77/1.00 apply (zenon_L547_); trivial. % 0.77/1.00 apply (zenon_L20_); trivial. % 0.77/1.00 (* end of lemma zenon_L548_ *) % 0.77/1.00 assert (zenon_L549_ : ((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a284)) -> (~(c3_1 (a284))) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (~(c0_1 (a305))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H2a3 zenon_H25b zenon_H1d4 zenon_H28 zenon_H27 zenon_H15f zenon_H160 zenon_H161 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_Hc5 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_Hc1 zenon_H92 zenon_H93. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H12. zenon_intro zenon_H2a4. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H296. zenon_intro zenon_H2a5. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H2a6. zenon_intro zenon_H297. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H13 | zenon_intro zenon_H25c ]. % 0.77/1.00 apply (zenon_L412_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H24d | zenon_intro zenon_H251 ]. % 0.77/1.00 apply (zenon_L256_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.77/1.00 apply (zenon_L361_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.77/1.00 apply (zenon_L535_); trivial. % 0.77/1.00 apply (zenon_L474_); trivial. % 0.77/1.00 (* end of lemma zenon_L549_ *) % 0.77/1.00 assert (zenon_L550_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a284)) -> (~(c3_1 (a284))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp14)) -> (~(hskp17)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hc7 zenon_H2a2 zenon_H25b zenon_H271 zenon_H28 zenon_H27 zenon_H161 zenon_H160 zenon_H15f zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H2f zenon_H280 zenon_H282. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a3 ]. % 0.77/1.00 apply (zenon_L277_); trivial. % 0.77/1.00 apply (zenon_L549_); trivial. % 0.77/1.00 (* end of lemma zenon_L550_ *) % 0.77/1.00 assert (zenon_L551_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a284)) -> (~(c3_1 (a284))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp14)) -> (~(hskp17)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hed zenon_H2a2 zenon_H25b zenon_H271 zenon_H28 zenon_H27 zenon_H161 zenon_H160 zenon_H15f zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H2f zenon_H280 zenon_H282 zenon_H113 zenon_Had zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hb2 zenon_He5. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/1.00 apply (zenon_L115_); trivial. % 0.77/1.00 apply (zenon_L550_); trivial. % 0.77/1.00 (* end of lemma zenon_L551_ *) % 0.77/1.00 assert (zenon_L552_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (c2_1 (a284)) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))) -> (~(c3_1 (a284))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (c3_1 (a337)) -> (c0_1 (a337)) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/1.00 do 0 intro. intros zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H28 zenon_H251 zenon_H27 zenon_H271 zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_H90 zenon_H161 zenon_H160 zenon_H15f zenon_H297 zenon_H296 zenon_H12 zenon_H1. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/1.00 apply (zenon_L142_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/1.00 apply (zenon_L535_); trivial. % 0.77/1.00 apply (zenon_L285_); trivial. % 0.77/1.00 (* end of lemma zenon_L552_ *) % 0.77/1.00 assert (zenon_L553_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp14)\/(hskp17))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H67 zenon_H42 zenon_H3e zenon_H3c zenon_H2b3 zenon_H1ba zenon_H5d zenon_Hec zenon_H31 zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H282 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H2a2 zenon_Hed zenon_H25b zenon_H271 zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_Ha1 zenon_H90 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H16f zenon_Hfe. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H280 | zenon_intro zenon_H2b0 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.00 apply (zenon_L528_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.00 apply (zenon_L551_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a3 ]. % 0.77/1.00 apply (zenon_L277_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H12. zenon_intro zenon_H2a4. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H296. zenon_intro zenon_H2a5. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H2a6. zenon_intro zenon_H297. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H13 | zenon_intro zenon_H25c ]. % 0.77/1.00 apply (zenon_L532_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H24d | zenon_intro zenon_H251 ]. % 0.77/1.00 apply (zenon_L256_); trivial. % 0.77/1.00 apply (zenon_L552_); trivial. % 0.77/1.00 apply (zenon_L288_); trivial. % 0.77/1.00 apply (zenon_L547_); trivial. % 0.77/1.00 apply (zenon_L20_); trivial. % 0.77/1.00 (* end of lemma zenon_L553_ *) % 0.77/1.00 assert (zenon_L554_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H16f zenon_H1c9 zenon_H140 zenon_H15e zenon_H13f zenon_Hed zenon_H14f zenon_H20c zenon_H17b zenon_H17a zenon_H179 zenon_H13d zenon_H90 zenon_H1 zenon_H1d4 zenon_H13c zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H1b6 zenon_H25d zenon_He5 zenon_Hb2 zenon_H113 zenon_H237 zenon_H238 zenon_H239 zenon_Hd6 zenon_H25b zenon_H235 zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H66 zenon_H20a zenon_He9 zenon_H2f zenon_H31 zenon_Hec. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.00 apply (zenon_L540_); trivial. % 0.77/1.00 apply (zenon_L153_); trivial. % 0.77/1.00 (* end of lemma zenon_L554_ *) % 0.77/1.00 assert (zenon_L555_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c0_1 (a305))) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a276)) -> (c3_1 (a276)) -> (c1_1 (a276)) -> (forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (c0_1 (a278)) -> (c1_1 (a278)) -> (c3_1 (a278)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H1d4 zenon_H93 zenon_H92 zenon_Hc1 zenon_H237 zenon_H238 zenon_H239 zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_Hc5 zenon_Ha5 zenon_Ha6 zenon_Ha4 zenon_H53 zenon_H12 zenon_H12b zenon_H12d zenon_H12c. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.77/1.00 apply (zenon_L361_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.77/1.00 apply (zenon_L233_); trivial. % 0.77/1.00 apply (zenon_L103_); trivial. % 0.77/1.00 (* end of lemma zenon_L555_ *) % 0.77/1.00 assert (zenon_L556_ : ((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c1_1 (a276)) -> (c3_1 (a276)) -> (c2_1 (a276)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (~(c0_1 (a305))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> False). % 0.77/1.00 do 0 intro. intros zenon_H139 zenon_H9f zenon_H44 zenon_H46 zenon_Ha4 zenon_Ha6 zenon_Ha5 zenon_Hc5 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H239 zenon_H238 zenon_H237 zenon_Hc1 zenon_H92 zenon_H93 zenon_H1d4 zenon_H6b. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.77/1.00 apply (zenon_L52_); trivial. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.77/1.00 apply (zenon_L555_); trivial. % 0.77/1.00 exact (zenon_H6b zenon_H6c). % 0.77/1.00 (* end of lemma zenon_L556_ *) % 0.77/1.00 assert (zenon_L557_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp19)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c1_1 (a293)) -> (c0_1 (a293)) -> (~(c2_1 (a293))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hc7 zenon_He9 zenon_H14f zenon_H20c zenon_H271 zenon_Had zenon_H113 zenon_Hf0 zenon_Hef zenon_Hee zenon_H13d zenon_H46 zenon_H44 zenon_H1d4 zenon_H6b zenon_H9f zenon_H13c zenon_He5 zenon_H66 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H235 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H25b zenon_H25d zenon_H1b6. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/1.00 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/1.00 apply (zenon_L489_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/1.00 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/1.00 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/1.00 apply (zenon_L457_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/1.00 apply (zenon_L343_); trivial. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/1.00 apply (zenon_L89_); trivial. % 0.77/1.00 apply (zenon_L556_); trivial. % 0.77/1.00 apply (zenon_L496_); trivial. % 0.77/1.00 (* end of lemma zenon_L557_ *) % 0.77/1.00 assert (zenon_L558_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c1_1 (a293)) -> (c0_1 (a293)) -> (~(c2_1 (a293))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_H170 zenon_Hec zenon_H271 zenon_Hf0 zenon_Hef zenon_Hee zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H1c7 zenon_H1c9 zenon_Hed. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/1.00 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.00 apply (zenon_L529_); trivial. % 0.77/1.00 apply (zenon_L334_); trivial. % 0.77/1.00 (* end of lemma zenon_L558_ *) % 0.77/1.00 assert (zenon_L559_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_H179 zenon_H17a zenon_H17b zenon_H1c9 zenon_Hed zenon_H14f zenon_H20c zenon_H271 zenon_H13d zenon_H46 zenon_H44 zenon_H1d4 zenon_H6b zenon_H9f zenon_H13c zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H1b6 zenon_H25d zenon_He5 zenon_Hb2 zenon_H113 zenon_H237 zenon_H238 zenon_H239 zenon_Hd6 zenon_H25b zenon_H235 zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H66 zenon_H20a zenon_He9 zenon_Hec. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/1.00 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/1.00 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/1.00 apply (zenon_L481_); trivial. % 0.77/1.00 apply (zenon_L557_); trivial. % 0.77/1.00 apply (zenon_L334_); trivial. % 0.77/1.00 apply (zenon_L558_); trivial. % 0.77/1.00 (* end of lemma zenon_L559_ *) % 0.77/1.00 assert (zenon_L560_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/1.00 do 0 intro. intros zenon_Hec zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_H33 zenon_H34 zenon_H35 zenon_H271 zenon_H7c zenon_He9 zenon_H20a zenon_H66 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H235 zenon_H25b zenon_Hd6 zenon_H239 zenon_H238 zenon_H237 zenon_H113 zenon_Hb2 zenon_He5 zenon_H25d zenon_H1b6 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H13c zenon_H1d4 zenon_H1 zenon_H90 zenon_H13d zenon_H179 zenon_H17a zenon_H17b zenon_H20c zenon_H14f zenon_Hed. % 0.77/1.00 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.00 apply (zenon_L539_); trivial. % 0.77/1.00 apply (zenon_L498_); trivial. % 0.77/1.00 (* end of lemma zenon_L560_ *) % 0.77/1.00 assert (zenon_L561_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H16f zenon_H1c9 zenon_H140 zenon_H15e zenon_H13f zenon_Hed zenon_H14f zenon_H20c zenon_H17b zenon_H17a zenon_H179 zenon_H13d zenon_H90 zenon_H1 zenon_H1d4 zenon_H13c zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H1b6 zenon_H25d zenon_He5 zenon_Hb2 zenon_H113 zenon_H237 zenon_H238 zenon_H239 zenon_Hd6 zenon_H25b zenon_H235 zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H66 zenon_H20a zenon_He9 zenon_H7c zenon_H271 zenon_H35 zenon_H34 zenon_H33 zenon_H116 zenon_H117 zenon_H118 zenon_H129 zenon_Hec. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.01 apply (zenon_L560_); trivial. % 0.77/1.01 apply (zenon_L153_); trivial. % 0.77/1.01 (* end of lemma zenon_L561_ *) % 0.77/1.01 assert (zenon_L562_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp3)) -> False). % 0.77/1.01 do 0 intro. intros zenon_Hc7 zenon_H1ba zenon_H1cd zenon_H1cc zenon_H1cb zenon_H93 zenon_H92 zenon_Hc1 zenon_H44 zenon_H46 zenon_Hc5 zenon_H5d. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H71 | zenon_intro zenon_H1bb ]. % 0.77/1.01 apply (zenon_L142_); trivial. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H89 | zenon_intro zenon_H5e ]. % 0.77/1.01 apply (zenon_L52_); trivial. % 0.77/1.01 exact (zenon_H5d zenon_H5e). % 0.77/1.01 (* end of lemma zenon_L562_ *) % 0.77/1.01 assert (zenon_L563_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_Hed zenon_H1ba zenon_H5d zenon_H44 zenon_H46 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H113 zenon_Had zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hb2 zenon_He5. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/1.01 apply (zenon_L115_); trivial. % 0.77/1.01 apply (zenon_L562_); trivial. % 0.77/1.01 (* end of lemma zenon_L563_ *) % 0.77/1.01 assert (zenon_L564_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp14)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_Hec zenon_H31 zenon_H2f zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_He5 zenon_Hb2 zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H1cb zenon_H1cc zenon_H1cd zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H44 zenon_H5d zenon_H1ba zenon_Hed. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.01 apply (zenon_L563_); trivial. % 0.77/1.01 apply (zenon_L443_); trivial. % 0.77/1.01 (* end of lemma zenon_L564_ *) % 0.77/1.01 assert (zenon_L565_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H170 zenon_Hec zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H1 zenon_H90 zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H1cb zenon_H1cc zenon_H1cd zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H44 zenon_H5d zenon_H1ba zenon_Hed. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.01 apply (zenon_L563_); trivial. % 0.77/1.01 apply (zenon_L455_); trivial. % 0.77/1.01 (* end of lemma zenon_L565_ *) % 0.77/1.01 assert (zenon_L566_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H16f zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H1 zenon_H90 zenon_Hed zenon_H1ba zenon_H5d zenon_H44 zenon_H46 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hb2 zenon_He5 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H2f zenon_H31 zenon_Hec. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.01 apply (zenon_L564_); trivial. % 0.77/1.01 apply (zenon_L565_); trivial. % 0.77/1.01 (* end of lemma zenon_L566_ *) % 0.77/1.01 assert (zenon_L567_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp13)) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (c2_1 (a276)) -> (c3_1 (a276)) -> (c1_1 (a276)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.77/1.01 do 0 intro. intros zenon_H9f zenon_H6d zenon_H1cb zenon_H1cc zenon_H1cd zenon_H6f zenon_Ha5 zenon_Ha6 zenon_Ha4 zenon_H7e zenon_H12 zenon_H6b. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.77/1.01 apply (zenon_L337_); trivial. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.77/1.01 apply (zenon_L233_); trivial. % 0.77/1.01 exact (zenon_H6b zenon_H6c). % 0.77/1.01 (* end of lemma zenon_L567_ *) % 0.77/1.01 assert (zenon_L568_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c1_1 (a293)) -> (c0_1 (a293)) -> (~(c2_1 (a293))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (~(hskp13)) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> (~(hskp19)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> False). % 0.77/1.01 do 0 intro. intros zenon_He5 zenon_Ha1 zenon_Hf0 zenon_Hef zenon_Hee zenon_H6f zenon_H6d zenon_H6b zenon_H9f zenon_H1cd zenon_H1cc zenon_H1cb zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_Had zenon_H113. % 0.77/1.01 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/1.01 apply (zenon_L114_); trivial. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/1.01 apply (zenon_L142_); trivial. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/1.01 apply (zenon_L567_); trivial. % 0.77/1.01 apply (zenon_L66_); trivial. % 0.77/1.01 (* end of lemma zenon_L568_ *) % 0.77/1.01 assert (zenon_L569_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_Hf9 zenon_Hec zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H9f zenon_H6b zenon_H6d zenon_H6f zenon_Ha1 zenon_He5. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.01 apply (zenon_L568_); trivial. % 0.77/1.01 apply (zenon_L334_); trivial. % 0.77/1.01 (* end of lemma zenon_L569_ *) % 0.77/1.01 assert (zenon_L570_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H16f zenon_Hed zenon_H1ba zenon_H5d zenon_H44 zenon_H46 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hb2 zenon_He5 zenon_H13c zenon_H7c zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H35 zenon_H34 zenon_H33 zenon_H116 zenon_H117 zenon_H118 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H129 zenon_H90 zenon_H1 zenon_H1d4 zenon_Hec. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.01 apply (zenon_L563_); trivial. % 0.77/1.01 apply (zenon_L498_); trivial. % 0.77/1.01 apply (zenon_L565_); trivial. % 0.77/1.01 (* end of lemma zenon_L570_ *) % 0.77/1.01 assert (zenon_L571_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H3f zenon_Hfe zenon_Ha1 zenon_H81 zenon_H80 zenon_H7f zenon_Hec zenon_H1d4 zenon_H90 zenon_H129 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H118 zenon_H117 zenon_H116 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H7c zenon_H13c zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H1cb zenon_H1cc zenon_H1cd zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H44 zenon_H5d zenon_H1ba zenon_Hed zenon_H16f. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/1.01 apply (zenon_L570_); trivial. % 0.77/1.01 apply (zenon_L158_); trivial. % 0.77/1.01 (* end of lemma zenon_L571_ *) % 0.77/1.01 assert (zenon_L572_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H1b6 zenon_H1b4 zenon_H17b zenon_H17a zenon_H179 zenon_H19f zenon_H19e zenon_H19d zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H66. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/1.01 apply (zenon_L457_); trivial. % 0.77/1.01 apply (zenon_L170_); trivial. % 0.77/1.01 (* end of lemma zenon_L572_ *) % 0.77/1.01 assert (zenon_L573_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H16f zenon_H208 zenon_H3 zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H19d zenon_H19e zenon_H19f zenon_H179 zenon_H17a zenon_H17b zenon_H1b4 zenon_H1b6. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.01 apply (zenon_L572_); trivial. % 0.77/1.01 apply (zenon_L208_); trivial. % 0.77/1.01 (* end of lemma zenon_L573_ *) % 0.77/1.01 assert (zenon_L574_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_H19d zenon_H19e zenon_H19f zenon_He5 zenon_Ha1 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_Hec. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.01 apply (zenon_L523_); trivial. % 0.77/1.01 apply (zenon_L403_); trivial. % 0.77/1.01 (* end of lemma zenon_L574_ *) % 0.77/1.01 assert (zenon_L575_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H226 zenon_Hfe zenon_He5 zenon_Ha1 zenon_H113 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_Hec zenon_H7 zenon_H1b6 zenon_H1b4 zenon_H17b zenon_H17a zenon_H179 zenon_H19f zenon_H19e zenon_H19d zenon_H27a zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H66 zenon_H3 zenon_H208 zenon_H16f. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/1.01 apply (zenon_L573_); trivial. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/1.01 apply (zenon_L229_); trivial. % 0.77/1.01 apply (zenon_L574_); trivial. % 0.77/1.01 (* end of lemma zenon_L575_ *) % 0.77/1.01 assert (zenon_L576_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H16f zenon_H1c9 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H1 zenon_H90 zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H19d zenon_H19e zenon_H19f zenon_H179 zenon_H17a zenon_H17b zenon_H1b4 zenon_H1b6. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.01 apply (zenon_L572_); trivial. % 0.77/1.01 apply (zenon_L318_); trivial. % 0.77/1.01 (* end of lemma zenon_L576_ *) % 0.77/1.01 assert (zenon_L577_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((hskp15)\/(hskp12))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (ndr1_0) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291))))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H6a zenon_He5 zenon_H113 zenon_H25b zenon_H27e zenon_H19f zenon_H19e zenon_H19d zenon_H12 zenon_H16f zenon_H1c9 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H90 zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H179 zenon_H17a zenon_H17b zenon_H1b4 zenon_H1b6 zenon_Hed zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_Hb2 zenon_Ha1 zenon_Hec zenon_Hfe zenon_H2de. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.77/1.01 apply (zenon_L275_); trivial. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/1.01 apply (zenon_L576_); trivial. % 0.77/1.01 apply (zenon_L467_); trivial. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/1.01 apply (zenon_L576_); trivial. % 0.77/1.01 apply (zenon_L547_); trivial. % 0.77/1.01 (* end of lemma zenon_L577_ *) % 0.77/1.01 assert (zenon_L578_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp14)) -> (~(hskp17)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_Hec zenon_H31 zenon_He5 zenon_Hb2 zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H2a2 zenon_H90 zenon_H1 zenon_H211 zenon_H212 zenon_H213 zenon_Hd6 zenon_H19f zenon_H19e zenon_H19d zenon_H5 zenon_H206 zenon_H2f zenon_H280 zenon_H282 zenon_H13c zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_Hc1 zenon_H92 zenon_H93 zenon_H13d zenon_Hc5 zenon_H20c zenon_H14f zenon_He9 zenon_Hed. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/1.01 apply (zenon_L115_); trivial. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.77/1.01 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/1.01 apply (zenon_L471_); trivial. % 0.77/1.01 apply (zenon_L538_); trivial. % 0.77/1.01 apply (zenon_L443_); trivial. % 0.77/1.01 (* end of lemma zenon_L578_ *) % 0.77/1.01 assert (zenon_L579_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (~(hskp14)) -> (~(hskp17)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_Hed zenon_H2a2 zenon_Ha1 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_H15f zenon_H160 zenon_H161 zenon_H19d zenon_H19e zenon_H19f zenon_H271 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H2f zenon_H280 zenon_H282 zenon_H113 zenon_Had zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hb2 zenon_He5. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/1.01 apply (zenon_L115_); trivial. % 0.77/1.01 apply (zenon_L477_); trivial. % 0.77/1.01 (* end of lemma zenon_L579_ *) % 0.77/1.01 assert (zenon_L580_ : (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36)))))) -> (ndr1_0) -> (~(c0_1 (a291))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (c3_1 (a291)) -> (c2_1 (a291)) -> False). % 0.77/1.01 do 0 intro. intros zenon_H19c zenon_H12 zenon_H286 zenon_H89 zenon_H28f zenon_H288. % 0.77/1.01 generalize (zenon_H19c (a291)). zenon_intro zenon_H2e2. % 0.77/1.01 apply (zenon_imply_s _ _ zenon_H2e2); [ zenon_intro zenon_H11 | zenon_intro zenon_H2e3 ]. % 0.77/1.01 exact (zenon_H11 zenon_H12). % 0.77/1.01 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H28c | zenon_intro zenon_H2e4 ]. % 0.77/1.01 exact (zenon_H286 zenon_H28c). % 0.77/1.01 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H287 | zenon_intro zenon_H28d ]. % 0.77/1.01 generalize (zenon_H89 (a291)). zenon_intro zenon_H2e5. % 0.77/1.01 apply (zenon_imply_s _ _ zenon_H2e5); [ zenon_intro zenon_H11 | zenon_intro zenon_H2e6 ]. % 0.77/1.01 exact (zenon_H11 zenon_H12). % 0.77/1.01 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H28c | zenon_intro zenon_H2e7 ]. % 0.77/1.01 exact (zenon_H286 zenon_H28c). % 0.77/1.01 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_H28e | zenon_intro zenon_H293 ]. % 0.77/1.01 exact (zenon_H287 zenon_H28e). % 0.77/1.01 exact (zenon_H293 zenon_H28f). % 0.77/1.01 exact (zenon_H28d zenon_H288). % 0.77/1.01 (* end of lemma zenon_L580_ *) % 0.77/1.01 assert (zenon_L581_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a291)) -> (c3_1 (a291)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (~(c0_1 (a291))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> (~(c3_1 (a303))) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18)))))) -> (c2_1 (a303)) -> False). % 0.77/1.01 do 0 intro. intros zenon_H1b4 zenon_H288 zenon_H28f zenon_H89 zenon_H286 zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hcb zenon_H25 zenon_Hcd. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b5 ]. % 0.77/1.01 apply (zenon_L580_); trivial. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H105 | zenon_intro zenon_H1aa ]. % 0.77/1.01 apply (zenon_L106_); trivial. % 0.77/1.01 apply (zenon_L166_); trivial. % 0.77/1.01 (* end of lemma zenon_L581_ *) % 0.77/1.01 assert (zenon_L582_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (c2_1 (a303)) -> (~(c3_1 (a303))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> (~(c0_1 (a291))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (c3_1 (a291)) -> (c2_1 (a291)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (~(hskp28)) -> False). % 0.77/1.01 do 0 intro. intros zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_Hcd zenon_Hcb zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_H286 zenon_H89 zenon_H28f zenon_H288 zenon_H1b4 zenon_H127. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H115 | zenon_intro zenon_H12a ]. % 0.77/1.01 apply (zenon_L76_); trivial. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H25 | zenon_intro zenon_H128 ]. % 0.77/1.01 apply (zenon_L581_); trivial. % 0.77/1.01 exact (zenon_H127 zenon_H128). % 0.77/1.01 (* end of lemma zenon_L582_ *) % 0.77/1.01 assert (zenon_L583_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (~(hskp28)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a291)) -> (c3_1 (a291)) -> (~(c0_1 (a291))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> (~(c3_1 (a303))) -> (c2_1 (a303)) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(hskp3)) -> False). % 0.77/1.01 do 0 intro. intros zenon_H1ba zenon_H1cd zenon_H1cc zenon_H1cb zenon_H127 zenon_H1b4 zenon_H288 zenon_H28f zenon_H286 zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hcb zenon_Hcd zenon_H116 zenon_H117 zenon_H118 zenon_H129 zenon_H5d. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H71 | zenon_intro zenon_H1bb ]. % 0.77/1.01 apply (zenon_L142_); trivial. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H89 | zenon_intro zenon_H5e ]. % 0.77/1.01 apply (zenon_L582_); trivial. % 0.77/1.01 exact (zenon_H5d zenon_H5e). % 0.77/1.01 (* end of lemma zenon_L583_ *) % 0.77/1.01 assert (zenon_L584_ : ((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (c2_1 (a303)) -> (c1_1 (a303)) -> (~(c3_1 (a303))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp16)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H139 zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_Hcd zenon_Hcc zenon_Hcb zenon_H271 zenon_H1d4 zenon_H1 zenon_H237 zenon_H238 zenon_H239 zenon_H90 zenon_H161 zenon_H160 zenon_H15f. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/1.01 apply (zenon_L142_); trivial. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/1.01 apply (zenon_L350_); trivial. % 0.77/1.01 apply (zenon_L543_); trivial. % 0.77/1.01 (* end of lemma zenon_L584_ *) % 0.77/1.01 assert (zenon_L585_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c0_1 (a291))) -> (c3_1 (a291)) -> (c2_1 (a291)) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> False). % 0.77/1.01 do 0 intro. intros zenon_He8 zenon_H13c zenon_Ha1 zenon_H90 zenon_H1 zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_H15f zenon_H160 zenon_H161 zenon_H271 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H129 zenon_H286 zenon_H28f zenon_H288 zenon_H179 zenon_H17a zenon_H17b zenon_H1b4 zenon_H118 zenon_H117 zenon_H116 zenon_H5d zenon_H1ba. % 0.77/1.01 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/1.01 apply (zenon_L583_); trivial. % 0.77/1.01 apply (zenon_L584_); trivial. % 0.77/1.01 (* end of lemma zenon_L585_ *) % 0.77/1.01 assert (zenon_L586_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp14)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a291)) -> (c3_1 (a291)) -> (~(c0_1 (a291))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H2b3 zenon_Hec zenon_H31 zenon_He5 zenon_Hb2 zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H2a2 zenon_H90 zenon_H1 zenon_H211 zenon_H212 zenon_H213 zenon_Hd6 zenon_H19f zenon_H19e zenon_H19d zenon_H206 zenon_H2f zenon_H282 zenon_H13c zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_Hc1 zenon_H92 zenon_H93 zenon_H13d zenon_Hc5 zenon_H20c zenon_H14f zenon_He9 zenon_Hed zenon_Ha1 zenon_H271 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H1ba zenon_H5d zenon_H116 zenon_H117 zenon_H118 zenon_H1b4 zenon_H288 zenon_H28f zenon_H286 zenon_H129 zenon_H16f. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H280 | zenon_intro zenon_H2b0 ]. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.01 apply (zenon_L578_); trivial. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.01 apply (zenon_L579_); trivial. % 0.77/1.01 apply (zenon_L585_); trivial. % 0.77/1.01 apply (zenon_L288_); trivial. % 0.77/1.01 (* end of lemma zenon_L586_ *) % 0.77/1.01 assert (zenon_L587_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c0_1 (a291))) -> (c3_1 (a291)) -> (c2_1 (a291)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_Hec zenon_H1d4 zenon_H1 zenon_H90 zenon_H286 zenon_H28f zenon_H288 zenon_H1b4 zenon_H129 zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H118 zenon_H117 zenon_H116 zenon_H33 zenon_H34 zenon_H35 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H7c zenon_H13c zenon_He5 zenon_Hb2 zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H1cb zenon_H1cc zenon_H1cd zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H44 zenon_H5d zenon_H1ba zenon_Hed. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.01 apply (zenon_L563_); trivial. % 0.77/1.01 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/1.01 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/1.01 apply (zenon_L497_); trivial. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/1.01 apply (zenon_L583_); trivial. % 0.77/1.01 apply (zenon_L493_); trivial. % 0.77/1.01 (* end of lemma zenon_L587_ *) % 0.77/1.01 assert (zenon_L588_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a291)) -> (c3_1 (a291)) -> (~(c0_1 (a291))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H16f zenon_Ha1 zenon_Hed zenon_H1ba zenon_H5d zenon_H44 zenon_H46 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hb2 zenon_He5 zenon_H13c zenon_H7c zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H35 zenon_H34 zenon_H33 zenon_H116 zenon_H117 zenon_H118 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H129 zenon_H1b4 zenon_H288 zenon_H28f zenon_H286 zenon_H90 zenon_H1 zenon_H1d4 zenon_Hec. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.01 apply (zenon_L587_); trivial. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.01 apply (zenon_L563_); trivial. % 0.77/1.01 apply (zenon_L585_); trivial. % 0.77/1.01 (* end of lemma zenon_L588_ *) % 0.77/1.01 assert (zenon_L589_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp21)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c1_1 (a268))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.77/1.01 do 0 intro. intros zenon_H90 zenon_Hd4 zenon_H19d zenon_H19e zenon_H19f zenon_H13 zenon_Hd6 zenon_H239 zenon_H238 zenon_H1bc zenon_H237 zenon_H12 zenon_H1. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.77/1.01 apply (zenon_L404_); trivial. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.77/1.01 apply (zenon_L281_); trivial. % 0.77/1.01 exact (zenon_H1 zenon_H2). % 0.77/1.01 (* end of lemma zenon_L589_ *) % 0.77/1.01 assert (zenon_L590_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp21)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (~(c1_1 (a268))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (ndr1_0) -> (c0_1 (a278)) -> (c1_1 (a278)) -> (c3_1 (a278)) -> False). % 0.77/1.01 do 0 intro. intros zenon_H1d4 zenon_H1 zenon_H90 zenon_Hd4 zenon_H19d zenon_H19e zenon_H19f zenon_H237 zenon_H13 zenon_H238 zenon_H239 zenon_Hd6 zenon_H12 zenon_H12b zenon_H12d zenon_H12c. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.77/1.01 apply (zenon_L589_); trivial. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.77/1.01 apply (zenon_L404_); trivial. % 0.77/1.01 apply (zenon_L103_); trivial. % 0.77/1.01 (* end of lemma zenon_L590_ *) % 0.77/1.01 assert (zenon_L591_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (c2_1 (a284)) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))) -> (~(c3_1 (a284))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp16)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (ndr1_0) -> (c0_1 (a278)) -> (c1_1 (a278)) -> (c3_1 (a278)) -> False). % 0.77/1.01 do 0 intro. intros zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H28 zenon_H251 zenon_H27 zenon_H271 zenon_H1d4 zenon_H1 zenon_H237 zenon_H238 zenon_H239 zenon_H90 zenon_H161 zenon_H160 zenon_H15f zenon_H12 zenon_H12b zenon_H12d zenon_H12c. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.77/1.01 apply (zenon_L142_); trivial. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.77/1.01 apply (zenon_L535_); trivial. % 0.77/1.01 apply (zenon_L543_); trivial. % 0.77/1.01 (* end of lemma zenon_L591_ *) % 0.77/1.01 assert (zenon_L592_ : ((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (~(hskp21)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (c2_1 (a284)) -> (~(c3_1 (a284))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp16)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H139 zenon_H25b zenon_Hd6 zenon_H19f zenon_H19e zenon_H19d zenon_Hd4 zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H28 zenon_H27 zenon_H271 zenon_H1d4 zenon_H1 zenon_H237 zenon_H238 zenon_H239 zenon_H90 zenon_H161 zenon_H160 zenon_H15f. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H13 | zenon_intro zenon_H25c ]. % 0.77/1.01 apply (zenon_L590_); trivial. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H24d | zenon_intro zenon_H251 ]. % 0.77/1.01 apply (zenon_L256_); trivial. % 0.77/1.01 apply (zenon_L591_); trivial. % 0.77/1.01 (* end of lemma zenon_L592_ *) % 0.77/1.01 assert (zenon_L593_ : ((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (~(c3_1 (a303))) -> (c1_1 (a303)) -> (c2_1 (a303)) -> (~(c0_1 (a284))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (c2_1 (a284)) -> (~(c3_1 (a284))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp16)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H139 zenon_H25b zenon_Hcb zenon_Hcc zenon_Hcd zenon_H26 zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H28 zenon_H27 zenon_H271 zenon_H1d4 zenon_H1 zenon_H237 zenon_H238 zenon_H239 zenon_H90 zenon_H161 zenon_H160 zenon_H15f. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H13 | zenon_intro zenon_H25c ]. % 0.77/1.01 apply (zenon_L544_); trivial. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H24d | zenon_intro zenon_H251 ]. % 0.77/1.01 apply (zenon_L256_); trivial. % 0.77/1.01 apply (zenon_L591_); trivial. % 0.77/1.01 (* end of lemma zenon_L593_ *) % 0.77/1.01 assert (zenon_L594_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a303)) -> (c1_1 (a303)) -> (~(c3_1 (a303))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> (~(hskp23)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H13c zenon_H25b zenon_H1cb zenon_H1cc zenon_H1cd zenon_H90 zenon_H1 zenon_H237 zenon_H238 zenon_H239 zenon_H15f zenon_H160 zenon_H161 zenon_H27 zenon_H26 zenon_H28 zenon_H271 zenon_Hcd zenon_Hcc zenon_Hcb zenon_H1d4 zenon_Ha1 zenon_H12 zenon_Hc1 zenon_H92 zenon_H93 zenon_H101 zenon_H13d. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/1.01 apply (zenon_L89_); trivial. % 0.77/1.01 apply (zenon_L593_); trivial. % 0.77/1.01 (* end of lemma zenon_L594_ *) % 0.77/1.01 assert (zenon_L595_ : ((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(c3_1 (a303))) -> (c1_1 (a303)) -> (c2_1 (a303)) -> (c2_1 (a284)) -> (~(c0_1 (a284))) -> (~(c3_1 (a284))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c3_1 (a313))) -> (~(c2_1 (a313))) -> (~(c1_1 (a313))) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> False). % 0.77/1.01 do 0 intro. intros zenon_H139 zenon_H20c zenon_H15f zenon_H160 zenon_H161 zenon_H90 zenon_H239 zenon_H238 zenon_H237 zenon_H1 zenon_H1d4 zenon_H271 zenon_Hcb zenon_Hcc zenon_Hcd zenon_H28 zenon_H26 zenon_H27 zenon_Ha1 zenon_H107 zenon_H125 zenon_H106 zenon_Hd9 zenon_Hda zenon_Hdb. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H13 | zenon_intro zenon_H20d ]. % 0.77/1.01 apply (zenon_L544_); trivial. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1d8 | zenon_intro zenon_Hd8 ]. % 0.77/1.01 apply (zenon_L147_); trivial. % 0.77/1.01 apply (zenon_L60_); trivial. % 0.77/1.01 (* end of lemma zenon_L595_ *) % 0.77/1.01 assert (zenon_L596_ : ((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a307)) -> (c0_1 (a307)) -> (~(c1_1 (a307))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c1_1 (a303)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a303)) -> (~(c3_1 (a303))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H121 zenon_H13c zenon_H20c zenon_Hdb zenon_Hda zenon_Hd9 zenon_H90 zenon_H1 zenon_H237 zenon_H238 zenon_H239 zenon_H15f zenon_H160 zenon_H161 zenon_H27 zenon_H26 zenon_H28 zenon_H271 zenon_Hcc zenon_H1d4 zenon_Ha1 zenon_H116 zenon_H117 zenon_H118 zenon_H1b4 zenon_Hcd zenon_Hcb zenon_H17b zenon_H17a zenon_H179 zenon_H19f zenon_H19e zenon_H19d zenon_H129. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H123. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H106. zenon_intro zenon_H124. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H125. zenon_intro zenon_H107. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/1.01 apply (zenon_L321_); trivial. % 0.77/1.01 apply (zenon_L595_); trivial. % 0.77/1.01 (* end of lemma zenon_L596_ *) % 0.77/1.01 assert (zenon_L597_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(c0_1 (a284))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> (~(c3_1 (a284))) -> (c2_1 (a284)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_He8 zenon_He9 zenon_H14f zenon_H20c zenon_H13d zenon_H93 zenon_H92 zenon_Hc1 zenon_H26 zenon_H129 zenon_H19d zenon_H19e zenon_H19f zenon_H179 zenon_H17a zenon_H17b zenon_H1b4 zenon_H118 zenon_H117 zenon_H116 zenon_H1d4 zenon_Hd6 zenon_H239 zenon_H238 zenon_H237 zenon_H1 zenon_H90 zenon_Ha1 zenon_H15f zenon_H160 zenon_H161 zenon_H27 zenon_H28 zenon_H271 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H25b zenon_H13c. % 0.77/1.01 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/1.01 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/1.01 apply (zenon_L321_); trivial. % 0.77/1.01 apply (zenon_L592_); trivial. % 0.77/1.01 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/1.01 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/1.01 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.77/1.01 apply (zenon_L594_); trivial. % 0.77/1.01 apply (zenon_L596_); trivial. % 0.77/1.01 (* end of lemma zenon_L597_ *) % 0.77/1.01 assert (zenon_L598_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> (~(c0_1 (a284))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c3_1 (a284))) -> (c2_1 (a284)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H170 zenon_Hec zenon_He9 zenon_H14f zenon_H20c zenon_H13d zenon_H26 zenon_H129 zenon_H19d zenon_H19e zenon_H19f zenon_H1b4 zenon_H118 zenon_H117 zenon_H116 zenon_H1d4 zenon_Hd6 zenon_H239 zenon_H238 zenon_H237 zenon_H1 zenon_H90 zenon_Ha1 zenon_H27 zenon_H28 zenon_H271 zenon_H25b zenon_H13c zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H1cb zenon_H1cc zenon_H1cd zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H44 zenon_H5d zenon_H1ba zenon_Hed. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.01 apply (zenon_L563_); trivial. % 0.77/1.01 apply (zenon_L597_); trivial. % 0.77/1.01 (* end of lemma zenon_L598_ *) % 0.77/1.01 assert (zenon_L599_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_Hec zenon_H1d4 zenon_H1 zenon_H90 zenon_H1b4 zenon_H19f zenon_H19e zenon_H19d zenon_H129 zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H118 zenon_H117 zenon_H116 zenon_H33 zenon_H34 zenon_H35 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H7c zenon_H13c zenon_He5 zenon_Hb2 zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H1cb zenon_H1cc zenon_H1cd zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H44 zenon_H5d zenon_H1ba zenon_Hed. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.01 apply (zenon_L563_); trivial. % 0.77/1.01 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.77/1.01 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.77/1.01 apply (zenon_L497_); trivial. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.77/1.01 apply (zenon_L321_); trivial. % 0.77/1.01 apply (zenon_L493_); trivial. % 0.77/1.01 (* end of lemma zenon_L599_ *) % 0.77/1.01 assert (zenon_L600_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H67 zenon_H42 zenon_H7c zenon_H16f zenon_He9 zenon_H14f zenon_H20c zenon_H13d zenon_H129 zenon_H19d zenon_H19e zenon_H19f zenon_H1b4 zenon_H118 zenon_H117 zenon_H116 zenon_H1d4 zenon_Hd6 zenon_H239 zenon_H238 zenon_H237 zenon_H90 zenon_Ha1 zenon_H271 zenon_H25b zenon_H13c zenon_Hed zenon_H1ba zenon_H5d zenon_H44 zenon_H46 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_Hb2 zenon_He5 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H31 zenon_Hec zenon_Hfe. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.01 apply (zenon_L564_); trivial. % 0.77/1.01 apply (zenon_L598_); trivial. % 0.77/1.01 apply (zenon_L547_); trivial. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.01 apply (zenon_L599_); trivial. % 0.77/1.01 apply (zenon_L598_); trivial. % 0.77/1.01 apply (zenon_L547_); trivial. % 0.77/1.01 (* end of lemma zenon_L600_ *) % 0.77/1.01 assert (zenon_L601_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (~(hskp14)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> ((hskp22)\/((hskp6)\/(hskp9))) -> (~(hskp9)) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_Hf9 zenon_H2b3 zenon_He9 zenon_H66 zenon_H20a zenon_H235 zenon_H25b zenon_Hd6 zenon_H25d zenon_H31 zenon_H3e zenon_Hed zenon_H2a2 zenon_H9f zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H6d zenon_H6f zenon_H2f zenon_H282 zenon_H231 zenon_H3c zenon_H6b zenon_H271 zenon_H113 zenon_H239 zenon_H238 zenon_H237 zenon_Hb2 zenon_He5 zenon_H1b6 zenon_Hec. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H280 | zenon_intro zenon_H2b0 ]. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.77/1.01 apply (zenon_L345_); trivial. % 0.77/1.01 apply (zenon_L369_); trivial. % 0.77/1.01 apply (zenon_L334_); trivial. % 0.77/1.01 apply (zenon_L374_); trivial. % 0.77/1.01 (* end of lemma zenon_L601_ *) % 0.77/1.01 assert (zenon_L602_ : ((~(hskp7))\/((ndr1_0)/\((c0_1 (a274))/\((c1_1 (a274))/\(~(c3_1 (a274))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((hskp30)\/((hskp14)\/(hskp17))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp6)) -> ((hskp22)\/((hskp6)\/(hskp9))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((hskp0)\/(hskp10))) -> (~(hskp0)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H225 zenon_H20a zenon_H1c9 zenon_Hc5 zenon_H2b3 zenon_Hd6 zenon_H282 zenon_H2a2 zenon_H42 zenon_H16f zenon_Hec zenon_H1d4 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H90 zenon_H177 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H208 zenon_H7 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H1b6 zenon_He5 zenon_Hb2 zenon_H113 zenon_H6b zenon_H231 zenon_H31 zenon_H3e zenon_Hed zenon_Hfe zenon_H278 zenon_H1d zenon_He9 zenon_Ha1 zenon_He2 zenon_H66 zenon_H27a zenon_H235 zenon_H25b zenon_H25d zenon_H9f zenon_H6f zenon_H4f zenon_H51 zenon_H150 zenon_H226 zenon_H14e zenon_H151. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/1.01 apply (zenon_L355_); trivial. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.01 apply (zenon_L444_); trivial. % 0.77/1.01 apply (zenon_L335_); trivial. % 0.77/1.01 apply (zenon_L20_); trivial. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.77/1.01 apply (zenon_L267_); trivial. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/1.01 apply (zenon_L514_); trivial. % 0.77/1.01 apply (zenon_L387_); trivial. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.77/1.01 apply (zenon_L267_); trivial. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.77/1.01 apply (zenon_L364_); trivial. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H280 | zenon_intro zenon_H2b0 ]. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.01 apply (zenon_L370_); trivial. % 0.77/1.01 apply (zenon_L443_); trivial. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.77/1.01 apply (zenon_L370_); trivial. % 0.77/1.01 apply (zenon_L353_); trivial. % 0.77/1.01 apply (zenon_L374_); trivial. % 0.77/1.01 apply (zenon_L601_); trivial. % 0.77/1.01 apply (zenon_L20_); trivial. % 0.77/1.01 apply (zenon_L386_); trivial. % 0.77/1.01 apply (zenon_L388_); trivial. % 0.77/1.01 (* end of lemma zenon_L602_ *) % 0.77/1.01 assert (zenon_L603_ : ((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(hskp5)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp29)\/(hskp5))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H222 zenon_Hfe zenon_Ha1 zenon_H19d zenon_H19e zenon_H19f zenon_H66 zenon_H206 zenon_H44 zenon_H45 zenon_H46 zenon_H4f zenon_H51 zenon_H7 zenon_H3 zenon_H208 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H177 zenon_H90 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H1d4 zenon_Hec zenon_H16f. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.77/1.01 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.77/1.01 apply (zenon_L355_); trivial. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.77/1.01 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.77/1.01 apply (zenon_L358_); trivial. % 0.77/1.01 apply (zenon_L403_); trivial. % 0.77/1.01 (* end of lemma zenon_L603_ *) % 0.77/1.01 assert (zenon_L604_ : ((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (~(hskp11)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp21)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H25e zenon_H25b zenon_H1c7 zenon_H90 zenon_Hd4 zenon_H19d zenon_H19e zenon_H19f zenon_Hd6 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1 zenon_H1c9 zenon_H239 zenon_H238 zenon_H237. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H12. zenon_intro zenon_H25f. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H260. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H252. zenon_intro zenon_H253. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H13 | zenon_intro zenon_H25c ]. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1ca ]. % 0.77/1.01 apply (zenon_L589_); trivial. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c8 ]. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.77/1.01 apply (zenon_L404_); trivial. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.77/1.01 apply (zenon_L182_); trivial. % 0.77/1.01 exact (zenon_H1 zenon_H2). % 0.77/1.01 exact (zenon_H1c7 zenon_H1c8). % 0.77/1.01 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H24d | zenon_intro zenon_H251 ]. % 0.77/1.01 apply (zenon_L256_); trivial. % 0.77/1.01 apply (zenon_L257_); trivial. % 0.77/1.01 (* end of lemma zenon_L604_ *) % 0.77/1.01 assert (zenon_L605_ : ((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp21)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H1b7 zenon_H25d zenon_H25b zenon_H90 zenon_H1 zenon_H237 zenon_H238 zenon_H239 zenon_H19d zenon_H19e zenon_H19f zenon_Hd6 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c7 zenon_H1c9 zenon_Hd4 zenon_H235. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.77/1.01 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H233 | zenon_intro zenon_H25e ]. % 0.77/1.01 apply (zenon_L252_); trivial. % 0.77/1.01 apply (zenon_L604_); trivial. % 0.77/1.01 (* end of lemma zenon_L605_ *) % 0.77/1.01 assert (zenon_L606_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp21)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_H1b6 zenon_H25d zenon_H25b zenon_H90 zenon_H1 zenon_H237 zenon_H238 zenon_H239 zenon_H19d zenon_H19e zenon_H19f zenon_Hd6 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c9 zenon_Hd4 zenon_H235 zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H66. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.77/1.01 apply (zenon_L457_); trivial. % 0.77/1.01 apply (zenon_L605_); trivial. % 0.77/1.01 (* end of lemma zenon_L606_ *) % 0.77/1.01 assert (zenon_L607_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c0_1 (a305))) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> False). % 0.77/1.01 do 0 intro. intros zenon_He4 zenon_H14f zenon_H20c zenon_H237 zenon_H238 zenon_H239 zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_H204 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5. % 0.77/1.01 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.77/1.01 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.77/1.01 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.77/1.01 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.77/1.01 apply (zenon_L185_); trivial. % 0.77/1.01 apply (zenon_L496_); trivial. % 0.77/1.01 (* end of lemma zenon_L607_ *) % 0.77/1.01 assert (zenon_L608_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_Hc7 zenon_He9 zenon_H14f zenon_H20c zenon_H204 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H66 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H235 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H25b zenon_H25d zenon_H1b6. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.02 apply (zenon_L489_); trivial. % 0.88/1.02 apply (zenon_L607_); trivial. % 0.88/1.02 (* end of lemma zenon_L608_ *) % 0.88/1.02 assert (zenon_L609_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(c2_1 (a270))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_H16f zenon_H271 zenon_He9 zenon_H20a zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H235 zenon_H1c9 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_Hd6 zenon_H19f zenon_H19e zenon_H19d zenon_H239 zenon_H238 zenon_H237 zenon_H1 zenon_H90 zenon_H25b zenon_H25d zenon_H1b6 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H204 zenon_H20c zenon_H14f zenon_Hed. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.02 apply (zenon_L606_); trivial. % 0.88/1.02 apply (zenon_L240_); trivial. % 0.88/1.02 apply (zenon_L608_); trivial. % 0.88/1.02 apply (zenon_L318_); trivial. % 0.88/1.02 (* end of lemma zenon_L609_ *) % 0.88/1.02 assert (zenon_L610_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_H67 zenon_Hfe zenon_Ha1 zenon_H1b4 zenon_Hed zenon_H14f zenon_H20c zenon_H204 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H1b6 zenon_H25d zenon_H25b zenon_H90 zenon_H237 zenon_H238 zenon_H239 zenon_H19d zenon_H19e zenon_H19f zenon_Hd6 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c9 zenon_H235 zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H66 zenon_H20a zenon_He9 zenon_H271 zenon_H16f. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.02 apply (zenon_L609_); trivial. % 0.88/1.02 apply (zenon_L503_); trivial. % 0.88/1.02 (* end of lemma zenon_L610_ *) % 0.88/1.02 assert (zenon_L611_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((hskp15)\/(hskp12))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (ndr1_0) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(c2_1 (a270))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291))))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_H6a zenon_H27e zenon_H19f zenon_H19e zenon_H19d zenon_H12 zenon_H16f zenon_H271 zenon_He9 zenon_H20a zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H235 zenon_H1c9 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_Hd6 zenon_H239 zenon_H238 zenon_H237 zenon_H90 zenon_H25b zenon_H25d zenon_H1b6 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H204 zenon_H20c zenon_H14f zenon_Hed zenon_H1b4 zenon_Hb2 zenon_Ha1 zenon_Hec zenon_Hfe zenon_H2de. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.88/1.02 apply (zenon_L275_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.02 apply (zenon_L609_); trivial. % 0.88/1.02 apply (zenon_L467_); trivial. % 0.88/1.02 apply (zenon_L610_); trivial. % 0.88/1.02 (* end of lemma zenon_L611_ *) % 0.88/1.02 assert (zenon_L612_ : (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3))))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (~(c2_1 (a352))) -> (c1_1 (a352)) -> (~(c3_1 (a352))) -> False). % 0.88/1.02 do 0 intro. intros zenon_H115 zenon_H12 zenon_H9b zenon_H265 zenon_H266 zenon_H277. % 0.88/1.02 generalize (zenon_H115 (a352)). zenon_intro zenon_H2e8. % 0.88/1.02 apply (zenon_imply_s _ _ zenon_H2e8); [ zenon_intro zenon_H11 | zenon_intro zenon_H2e9 ]. % 0.88/1.02 exact (zenon_H11 zenon_H12). % 0.88/1.02 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H270 | zenon_intro zenon_H2ea ]. % 0.88/1.02 generalize (zenon_H9b (a352)). zenon_intro zenon_H267. % 0.88/1.02 apply (zenon_imply_s _ _ zenon_H267); [ zenon_intro zenon_H11 | zenon_intro zenon_H268 ]. % 0.88/1.02 exact (zenon_H11 zenon_H12). % 0.88/1.02 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H26a | zenon_intro zenon_H269 ]. % 0.88/1.02 exact (zenon_H265 zenon_H26a). % 0.88/1.02 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H26c | zenon_intro zenon_H26b ]. % 0.88/1.02 exact (zenon_H26c zenon_H270). % 0.88/1.02 exact (zenon_H26b zenon_H266). % 0.88/1.02 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_H26a | zenon_intro zenon_H2eb ]. % 0.88/1.02 exact (zenon_H265 zenon_H26a). % 0.88/1.02 exact (zenon_H277 zenon_H2eb). % 0.88/1.02 (* end of lemma zenon_L612_ *) % 0.88/1.02 assert (zenon_L613_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18)))))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.88/1.02 do 0 intro. intros zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_H90 zenon_H19f zenon_H19e zenon_H19d zenon_H25 zenon_H1f5 zenon_H1f6 zenon_H12 zenon_H1. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.88/1.02 apply (zenon_L291_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.88/1.02 apply (zenon_L281_); trivial. % 0.88/1.02 exact (zenon_H1 zenon_H2). % 0.88/1.02 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.88/1.02 apply (zenon_L291_); trivial. % 0.88/1.02 apply (zenon_L389_); trivial. % 0.88/1.02 (* end of lemma zenon_L613_ *) % 0.88/1.02 assert (zenon_L614_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp20)) -> (~(hskp19)) -> (~(c0_1 (a291))) -> (c2_1 (a291)) -> (c3_1 (a291)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp18)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a352))) -> (c1_1 (a352)) -> (~(c2_1 (a352))) -> (~(hskp16)) -> (ndr1_0) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp28)) -> False). % 0.88/1.02 do 0 intro. intros zenon_Ha1 zenon_Haf zenon_Had zenon_H286 zenon_H288 zenon_H28f zenon_Hb2 zenon_H5 zenon_H271 zenon_H93 zenon_H92 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H129 zenon_H277 zenon_H266 zenon_H265 zenon_H1 zenon_H12 zenon_H1f6 zenon_H1f5 zenon_H19d zenon_H19e zenon_H19f zenon_H90 zenon_H239 zenon_H238 zenon_H237 zenon_H1d4 zenon_H127. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.02 apply (zenon_L280_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.02 apply (zenon_L479_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H115 | zenon_intro zenon_H12a ]. % 0.88/1.02 apply (zenon_L612_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H25 | zenon_intro zenon_H128 ]. % 0.88/1.02 apply (zenon_L613_); trivial. % 0.88/1.02 exact (zenon_H127 zenon_H128). % 0.88/1.02 (* end of lemma zenon_L614_ *) % 0.88/1.02 assert (zenon_L615_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a352)) -> (~(c2_1 (a352))) -> (c1_1 (a278)) -> (c3_1 (a278)) -> (c0_1 (a278)) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (~(hskp27)) -> False). % 0.88/1.02 do 0 intro. intros zenon_H7c zenon_H266 zenon_H265 zenon_H12d zenon_H12c zenon_H12b zenon_H12 zenon_H9b zenon_H7a. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H32 | zenon_intro zenon_H7d ]. % 0.88/1.02 apply (zenon_L264_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H72 | zenon_intro zenon_H7b ]. % 0.88/1.02 apply (zenon_L81_); trivial. % 0.88/1.02 exact (zenon_H7a zenon_H7b). % 0.88/1.02 (* end of lemma zenon_L615_ *) % 0.88/1.02 assert (zenon_L616_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c0_1 (a291))) -> (c2_1 (a291)) -> (c3_1 (a291)) -> (~(hskp19)) -> (~(hskp20)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> False). % 0.88/1.02 do 0 intro. intros zenon_H273 zenon_He5 zenon_Ha1 zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H1 zenon_H90 zenon_H129 zenon_H211 zenon_H212 zenon_H213 zenon_H271 zenon_H19f zenon_H19e zenon_H19d zenon_H93 zenon_H92 zenon_H239 zenon_H238 zenon_H237 zenon_H5 zenon_H206 zenon_H286 zenon_H288 zenon_H28f zenon_Had zenon_Haf zenon_Hb2 zenon_H7c zenon_H13c zenon_H2f zenon_H9 zenon_H263. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H261 | zenon_intro zenon_H274 ]. % 0.88/1.02 apply (zenon_L263_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H12. zenon_intro zenon_H275. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H266. zenon_intro zenon_H276. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H265. zenon_intro zenon_H277. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.88/1.02 apply (zenon_L614_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.02 apply (zenon_L280_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.02 apply (zenon_L479_); trivial. % 0.88/1.02 apply (zenon_L615_); trivial. % 0.88/1.02 apply (zenon_L49_); trivial. % 0.88/1.02 (* end of lemma zenon_L616_ *) % 0.88/1.02 assert (zenon_L617_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (~(c0_1 (a305))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.88/1.02 do 0 intro. intros zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_H19f zenon_H19e zenon_H19d zenon_H25 zenon_Hc5 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H1f5 zenon_H1f6 zenon_H12 zenon_Hc1 zenon_H92 zenon_H93. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.88/1.02 apply (zenon_L361_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.88/1.02 apply (zenon_L291_); trivial. % 0.88/1.02 apply (zenon_L423_); trivial. % 0.88/1.02 (* end of lemma zenon_L617_ *) % 0.88/1.02 assert (zenon_L618_ : ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (ndr1_0) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c0_1 (a305))) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp28)) -> False). % 0.88/1.02 do 0 intro. intros zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_H93 zenon_H92 zenon_Hc1 zenon_H12 zenon_H1f6 zenon_H1f5 zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_Hc5 zenon_H19d zenon_H19e zenon_H19f zenon_H239 zenon_H238 zenon_H237 zenon_H1d4 zenon_H127. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H115 | zenon_intro zenon_H12a ]. % 0.88/1.02 apply (zenon_L76_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H25 | zenon_intro zenon_H128 ]. % 0.88/1.02 apply (zenon_L617_); trivial. % 0.88/1.02 exact (zenon_H127 zenon_H128). % 0.88/1.02 (* end of lemma zenon_L618_ *) % 0.88/1.02 assert (zenon_L619_ : ((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(hskp18)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (~(c0_1 (a305))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.88/1.02 do 0 intro. intros zenon_Hb1 zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_H5 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_Hc5 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H1f5 zenon_H1f6 zenon_Hc1 zenon_H92 zenon_H93. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.88/1.02 apply (zenon_L361_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.88/1.02 apply (zenon_L234_); trivial. % 0.88/1.02 apply (zenon_L423_); trivial. % 0.88/1.02 (* end of lemma zenon_L619_ *) % 0.88/1.02 assert (zenon_L620_ : ((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp20)) -> (~(hskp19)) -> (~(c0_1 (a291))) -> (c2_1 (a291)) -> (c3_1 (a291)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp18)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (~(hskp27)) -> False). % 0.88/1.02 do 0 intro. intros zenon_H139 zenon_Ha1 zenon_Haf zenon_Had zenon_H286 zenon_H288 zenon_H28f zenon_Hb2 zenon_H5 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H93 zenon_H92 zenon_H19d zenon_H19e zenon_H19f zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_H7a. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.02 apply (zenon_L280_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.02 apply (zenon_L479_); trivial. % 0.88/1.02 apply (zenon_L82_); trivial. % 0.88/1.02 (* end of lemma zenon_L620_ *) % 0.88/1.02 assert (zenon_L621_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp18)) -> (c1_1 (a276)) -> (c3_1 (a276)) -> (c2_1 (a276)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))) -> (~(hskp16)) -> False). % 0.88/1.02 do 0 intro. intros zenon_H90 zenon_H5 zenon_Ha4 zenon_Ha6 zenon_Ha5 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H1f5 zenon_H1f6 zenon_H12 zenon_H173 zenon_H1. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.88/1.02 apply (zenon_L234_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.88/1.02 apply (zenon_L183_); trivial. % 0.88/1.02 exact (zenon_H1 zenon_H2). % 0.88/1.02 (* end of lemma zenon_L621_ *) % 0.88/1.02 assert (zenon_L622_ : ((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp18)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(hskp16)) -> False). % 0.88/1.02 do 0 intro. intros zenon_Hb1 zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_H90 zenon_H5 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H1f5 zenon_H1f6 zenon_H1. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.88/1.02 apply (zenon_L492_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.88/1.02 apply (zenon_L234_); trivial. % 0.88/1.02 apply (zenon_L621_); trivial. % 0.88/1.02 (* end of lemma zenon_L622_ *) % 0.88/1.02 assert (zenon_L623_ : ((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c3_1 (a274))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c0_1 (a305))) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp18)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (~(hskp27)) -> False). % 0.88/1.02 do 0 intro. intros zenon_H139 zenon_Ha1 zenon_Hc1 zenon_H44 zenon_H45 zenon_H46 zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_Hc5 zenon_H5 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H93 zenon_H92 zenon_H19d zenon_H19e zenon_H19f zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_H7a. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.02 apply (zenon_L94_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.02 apply (zenon_L479_); trivial. % 0.88/1.02 apply (zenon_L82_); trivial. % 0.88/1.02 (* end of lemma zenon_L623_ *) % 0.88/1.02 assert (zenon_L624_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_He8 zenon_He5 zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H1 zenon_H90 zenon_H129 zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H118 zenon_H117 zenon_H116 zenon_H33 zenon_H34 zenon_H35 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H7c zenon_H13c. % 0.88/1.02 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.02 apply (zenon_L497_); trivial. % 0.88/1.02 apply (zenon_L622_); trivial. % 0.88/1.02 (* end of lemma zenon_L624_ *) % 0.88/1.02 assert (zenon_L625_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (c2_1 (a284)) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))) -> (~(c3_1 (a284))) -> (ndr1_0) -> (c0_1 (a278)) -> (c3_1 (a278)) -> (c1_1 (a278)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp27)) -> False). % 0.88/1.02 do 0 intro. intros zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_H28 zenon_H251 zenon_H27 zenon_H12 zenon_H12b zenon_H12c zenon_H12d zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H7a. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H32 | zenon_intro zenon_H7d ]. % 0.88/1.02 apply (zenon_L17_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H72 | zenon_intro zenon_H7b ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24d | zenon_intro zenon_H272 ]. % 0.88/1.02 apply (zenon_L256_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H9b | zenon_intro zenon_Hca ]. % 0.88/1.02 apply (zenon_L81_); trivial. % 0.88/1.02 apply (zenon_L406_); trivial. % 0.88/1.02 exact (zenon_H7a zenon_H7b). % 0.88/1.02 (* end of lemma zenon_L625_ *) % 0.88/1.02 assert (zenon_L626_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(c1_1 (a313))) -> (~(c3_1 (a313))) -> (~(c2_1 (a313))) -> (~(hskp27)) -> (~(hskp19)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> (~(c0_1 (a284))) -> (~(c3_1 (a284))) -> (c2_1 (a284)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> False). % 0.88/1.02 do 0 intro. intros zenon_H13c zenon_H25b zenon_H33 zenon_H34 zenon_H35 zenon_H271 zenon_H7c zenon_H239 zenon_H238 zenon_H237 zenon_H106 zenon_H107 zenon_H125 zenon_H7a zenon_Had zenon_H113 zenon_H12 zenon_H116 zenon_H117 zenon_H118 zenon_H26 zenon_H27 zenon_H28 zenon_H129. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.88/1.02 apply (zenon_L80_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H13 | zenon_intro zenon_H25c ]. % 0.88/1.02 apply (zenon_L409_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H24d | zenon_intro zenon_H251 ]. % 0.88/1.02 apply (zenon_L256_); trivial. % 0.88/1.02 apply (zenon_L625_); trivial. % 0.88/1.02 (* end of lemma zenon_L626_ *) % 0.88/1.02 assert (zenon_L627_ : ((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (c2_1 (a284)) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_H121 zenon_He5 zenon_Hb2 zenon_Haf zenon_H129 zenon_H28 zenon_H27 zenon_H26 zenon_H118 zenon_H117 zenon_H116 zenon_H113 zenon_Had zenon_H237 zenon_H238 zenon_H239 zenon_H7c zenon_H271 zenon_H35 zenon_H34 zenon_H33 zenon_H25b zenon_H13c. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H123. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H106. zenon_intro zenon_H124. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H125. zenon_intro zenon_H107. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.02 apply (zenon_L626_); trivial. % 0.88/1.02 apply (zenon_L49_); trivial. % 0.88/1.02 (* end of lemma zenon_L627_ *) % 0.88/1.02 assert (zenon_L628_ : ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c0_1 (a284))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a284)) -> (~(c3_1 (a284))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (~(hskp21)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> (~(hskp19)) -> (~(hskp20)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_H14f zenon_H129 zenon_H26 zenon_H118 zenon_H117 zenon_H116 zenon_H113 zenon_H13c zenon_H25b zenon_H33 zenon_H34 zenon_H35 zenon_H271 zenon_H28 zenon_H27 zenon_H7c zenon_H90 zenon_H1 zenon_H237 zenon_H238 zenon_H239 zenon_H19d zenon_H19e zenon_H19f zenon_Hd4 zenon_Hd6 zenon_H1d4 zenon_H12 zenon_Hc1 zenon_H92 zenon_H93 zenon_H13d zenon_Had zenon_Haf zenon_Hb2 zenon_He5. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.88/1.02 apply (zenon_L89_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H13 | zenon_intro zenon_H25c ]. % 0.88/1.02 apply (zenon_L590_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H24d | zenon_intro zenon_H251 ]. % 0.88/1.02 apply (zenon_L256_); trivial. % 0.88/1.02 apply (zenon_L625_); trivial. % 0.88/1.02 apply (zenon_L49_); trivial. % 0.88/1.02 apply (zenon_L627_); trivial. % 0.88/1.02 (* end of lemma zenon_L628_ *) % 0.88/1.02 assert (zenon_L629_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (ndr1_0) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c3_1 (a284))) -> (c2_1 (a284)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> (~(c0_1 (a284))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_He9 zenon_H66 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_H20a zenon_He5 zenon_Hb2 zenon_Haf zenon_Had zenon_H13d zenon_H93 zenon_H92 zenon_Hc1 zenon_H12 zenon_H1d4 zenon_Hd6 zenon_H19f zenon_H19e zenon_H19d zenon_H239 zenon_H238 zenon_H237 zenon_H1 zenon_H90 zenon_H7c zenon_H27 zenon_H28 zenon_H271 zenon_H35 zenon_H34 zenon_H33 zenon_H25b zenon_H13c zenon_H113 zenon_H116 zenon_H117 zenon_H118 zenon_H26 zenon_H129 zenon_H14f. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.02 apply (zenon_L628_); trivial. % 0.88/1.02 apply (zenon_L240_); trivial. % 0.88/1.02 (* end of lemma zenon_L629_ *) % 0.88/1.02 assert (zenon_L630_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp27)) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(hskp18)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (ndr1_0) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> False). % 0.88/1.02 do 0 intro. intros zenon_Ha1 zenon_H7a zenon_H45 zenon_H46 zenon_H44 zenon_H33 zenon_H34 zenon_H35 zenon_H7c zenon_H5 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H93 zenon_H92 zenon_H19d zenon_H19e zenon_H19f zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H12 zenon_Hee zenon_Hef zenon_Hf0. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.02 apply (zenon_L38_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.02 apply (zenon_L479_); trivial. % 0.88/1.02 apply (zenon_L66_); trivial. % 0.88/1.02 (* end of lemma zenon_L630_ *) % 0.88/1.02 assert (zenon_L631_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c3_1 (a274))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_H1cd zenon_H1cc zenon_H1cb zenon_Hed zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_Hc1 zenon_Hc5 zenon_Ha1 zenon_H211 zenon_H212 zenon_H213 zenon_H271 zenon_H19f zenon_H19e zenon_H19d zenon_H93 zenon_H92 zenon_H239 zenon_H238 zenon_H237 zenon_H206 zenon_H33 zenon_H34 zenon_H35 zenon_H45 zenon_H46 zenon_H44 zenon_H7c zenon_Hb2 zenon_He5 zenon_Hec. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.02 apply (zenon_L630_); trivial. % 0.88/1.02 apply (zenon_L49_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.02 apply (zenon_L630_); trivial. % 0.88/1.02 apply (zenon_L619_); trivial. % 0.88/1.02 apply (zenon_L334_); trivial. % 0.88/1.02 apply (zenon_L403_); trivial. % 0.88/1.02 (* end of lemma zenon_L631_ *) % 0.88/1.02 assert (zenon_L632_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c0_1 (a281))) -> (~(c2_1 (a281))) -> (c3_1 (a281)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (ndr1_0) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp14)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_Hfe zenon_H16f zenon_H1cb zenon_H1cc zenon_H1cd zenon_H206 zenon_H237 zenon_H238 zenon_H239 zenon_H92 zenon_H93 zenon_H271 zenon_H213 zenon_H212 zenon_H211 zenon_Ha1 zenon_H129 zenon_H13f zenon_H15e zenon_H140 zenon_H19d zenon_H19e zenon_H19f zenon_H90 zenon_H1f5 zenon_H1f6 zenon_H1d4 zenon_H118 zenon_H117 zenon_H116 zenon_H12 zenon_H31 zenon_H2f zenon_H13c. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.02 apply (zenon_L392_); trivial. % 0.88/1.02 apply (zenon_L480_); trivial. % 0.88/1.02 (* end of lemma zenon_L632_ *) % 0.88/1.02 assert (zenon_L633_ : ((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp18)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(hskp16)) -> False). % 0.88/1.02 do 0 intro. intros zenon_Hb1 zenon_H1d4 zenon_H140 zenon_H15e zenon_H13f zenon_H90 zenon_H5 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H1f5 zenon_H1f6 zenon_H1. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.88/1.02 apply (zenon_L137_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.88/1.02 apply (zenon_L234_); trivial. % 0.88/1.02 apply (zenon_L621_); trivial. % 0.88/1.02 (* end of lemma zenon_L633_ *) % 0.88/1.02 assert (zenon_L634_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a305)) -> (~(c3_1 (a305))) -> (~(c0_1 (a305))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.88/1.02 do 0 intro. intros zenon_H1d4 zenon_H140 zenon_H15e zenon_H13f zenon_H19f zenon_H19e zenon_H19d zenon_H25 zenon_Hc5 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_H1f5 zenon_H1f6 zenon_H12 zenon_Hc1 zenon_H92 zenon_H93. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.88/1.02 apply (zenon_L137_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.88/1.02 apply (zenon_L291_); trivial. % 0.88/1.02 apply (zenon_L423_); trivial. % 0.88/1.02 (* end of lemma zenon_L634_ *) % 0.88/1.02 assert (zenon_L635_ : ((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(c0_1 (a305))) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (c2_1 (a284)) -> (~(c3_1 (a284))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp27)) -> False). % 0.88/1.02 do 0 intro. intros zenon_H139 zenon_H25b zenon_H93 zenon_H92 zenon_Hc1 zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_Hc5 zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_H28 zenon_H27 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H7a. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H13 | zenon_intro zenon_H25c ]. % 0.88/1.02 apply (zenon_L412_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H24d | zenon_intro zenon_H251 ]. % 0.88/1.02 apply (zenon_L256_); trivial. % 0.88/1.02 apply (zenon_L625_); trivial. % 0.88/1.02 (* end of lemma zenon_L635_ *) % 0.88/1.02 assert (zenon_L636_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_H1cd zenon_H1cc zenon_H1cb zenon_He9 zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H20a zenon_Ha1 zenon_H19d zenon_H19e zenon_H19f zenon_Hd6 zenon_H237 zenon_H238 zenon_H239 zenon_H27 zenon_H26 zenon_H28 zenon_H271 zenon_H25b zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_Hed. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.02 apply (zenon_L408_); trivial. % 0.88/1.02 apply (zenon_L240_); trivial. % 0.88/1.02 apply (zenon_L413_); trivial. % 0.88/1.02 apply (zenon_L403_); trivial. % 0.88/1.02 (* end of lemma zenon_L636_ *) % 0.88/1.02 assert (zenon_L637_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c0_1 (a281))) -> (~(c2_1 (a281))) -> (c3_1 (a281)) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> False). % 0.88/1.02 do 0 intro. intros zenon_H67 zenon_H42 zenon_Hfe zenon_Hec zenon_He9 zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H20a zenon_He5 zenon_Hb2 zenon_H13d zenon_H93 zenon_H92 zenon_Hc1 zenon_H1d4 zenon_Hd6 zenon_H19f zenon_H19e zenon_H19d zenon_H239 zenon_H238 zenon_H237 zenon_H90 zenon_H7c zenon_H271 zenon_H25b zenon_H13c zenon_H113 zenon_H116 zenon_H117 zenon_H118 zenon_H129 zenon_H14f zenon_Hc5 zenon_H13f zenon_H15e zenon_H140 zenon_H1f5 zenon_H1f6 zenon_Hed zenon_H1cb zenon_H1cc zenon_H1cd zenon_Ha1 zenon_H16f zenon_H31. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.02 apply (zenon_L16_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.02 apply (zenon_L629_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.88/1.02 apply (zenon_L80_); trivial. % 0.88/1.02 apply (zenon_L635_); trivial. % 0.88/1.02 apply (zenon_L633_); trivial. % 0.88/1.02 apply (zenon_L624_); trivial. % 0.88/1.02 apply (zenon_L399_); trivial. % 0.88/1.02 apply (zenon_L636_); trivial. % 0.88/1.02 (* end of lemma zenon_L637_ *) % 0.88/1.02 assert (zenon_L638_ : ((ndr1_0)/\((c0_1 (a274))/\((c1_1 (a274))/\(~(c3_1 (a274)))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a275)))/\((~(c2_1 (a275)))/\(~(c3_1 (a275))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281))))))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((hskp15)\/(hskp12))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(c2_1 (a270))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp8)) -> False). % 0.88/1.02 do 0 intro. intros zenon_H184 zenon_H14d zenon_H151 zenon_H14e zenon_H103 zenon_H113 zenon_H13d zenon_H6a zenon_H27e zenon_H19f zenon_H19e zenon_H19d zenon_H16f zenon_H271 zenon_He9 zenon_H20a zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H27a zenon_H235 zenon_H1c9 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_Hd6 zenon_H90 zenon_H25b zenon_H25d zenon_H1b6 zenon_Hc5 zenon_H204 zenon_H20c zenon_H14f zenon_Hed zenon_H1b4 zenon_Hb2 zenon_Ha1 zenon_Hec zenon_Hfe zenon_H2de zenon_H42 zenon_H3e zenon_H31 zenon_H263 zenon_H13c zenon_H7c zenon_H129 zenon_H1d4 zenon_He5 zenon_H273 zenon_H226 zenon_H237 zenon_H238 zenon_H239 zenon_H2bc. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.02 apply (zenon_L294_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.02 apply (zenon_L611_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.88/1.02 apply (zenon_L275_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.02 apply (zenon_L616_); trivial. % 0.88/1.02 apply (zenon_L163_); trivial. % 0.88/1.02 apply (zenon_L266_); trivial. % 0.88/1.02 apply (zenon_L399_); trivial. % 0.88/1.02 apply (zenon_L480_); trivial. % 0.88/1.02 apply (zenon_L20_); trivial. % 0.88/1.02 apply (zenon_L31_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.02 apply (zenon_L611_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.88/1.02 apply (zenon_L275_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.02 apply (zenon_L616_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.88/1.02 apply (zenon_L618_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.02 apply (zenon_L94_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.02 apply (zenon_L292_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H32 | zenon_intro zenon_H7d ]. % 0.88/1.02 apply (zenon_L162_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H72 | zenon_intro zenon_H7b ]. % 0.88/1.02 apply (zenon_L81_); trivial. % 0.88/1.02 exact (zenon_H7a zenon_H7b). % 0.88/1.02 apply (zenon_L619_); trivial. % 0.88/1.02 apply (zenon_L443_); trivial. % 0.88/1.02 apply (zenon_L399_); trivial. % 0.88/1.02 apply (zenon_L480_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.88/1.02 apply (zenon_L275_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H115 | zenon_intro zenon_H12a ]. % 0.88/1.02 apply (zenon_L76_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H25 | zenon_intro zenon_H128 ]. % 0.88/1.02 apply (zenon_L613_); trivial. % 0.88/1.02 exact (zenon_H127 zenon_H128). % 0.88/1.02 apply (zenon_L620_); trivial. % 0.88/1.02 apply (zenon_L622_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.88/1.02 apply (zenon_L618_); trivial. % 0.88/1.02 apply (zenon_L623_); trivial. % 0.88/1.02 apply (zenon_L622_); trivial. % 0.88/1.02 apply (zenon_L624_); trivial. % 0.88/1.02 apply (zenon_L399_); trivial. % 0.88/1.02 apply (zenon_L480_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.02 apply (zenon_L16_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.02 apply (zenon_L629_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.88/1.02 apply (zenon_L72_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H123. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H106. zenon_intro zenon_H124. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H125. zenon_intro zenon_H107. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.02 apply (zenon_L626_); trivial. % 0.88/1.02 apply (zenon_L619_); trivial. % 0.88/1.02 apply (zenon_L607_); trivial. % 0.88/1.02 apply (zenon_L498_); trivial. % 0.88/1.02 apply (zenon_L399_); trivial. % 0.88/1.02 apply (zenon_L631_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.02 apply (zenon_L364_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.02 apply (zenon_L632_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.88/1.02 apply (zenon_L275_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.88/1.02 apply (zenon_L391_); trivial. % 0.88/1.02 apply (zenon_L620_); trivial. % 0.88/1.02 apply (zenon_L633_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H115 | zenon_intro zenon_H12a ]. % 0.88/1.02 apply (zenon_L76_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H25 | zenon_intro zenon_H128 ]. % 0.88/1.02 apply (zenon_L634_); trivial. % 0.88/1.02 exact (zenon_H127 zenon_H128). % 0.88/1.02 apply (zenon_L623_); trivial. % 0.88/1.02 apply (zenon_L633_); trivial. % 0.88/1.02 apply (zenon_L498_); trivial. % 0.88/1.02 apply (zenon_L399_); trivial. % 0.88/1.02 apply (zenon_L631_); trivial. % 0.88/1.02 apply (zenon_L637_); trivial. % 0.88/1.02 (* end of lemma zenon_L638_ *) % 0.88/1.02 assert (zenon_L639_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> (~(hskp19)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> False). % 0.88/1.02 do 0 intro. intros zenon_He5 zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_H237 zenon_H238 zenon_H239 zenon_H1 zenon_H90 zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_Had zenon_H113. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.02 apply (zenon_L114_); trivial. % 0.88/1.02 apply (zenon_L622_); trivial. % 0.88/1.02 (* end of lemma zenon_L639_ *) % 0.88/1.02 assert (zenon_L640_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp14)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_Hec zenon_H31 zenon_H2f zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_H90 zenon_H1 zenon_H239 zenon_H238 zenon_H237 zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H1f5 zenon_H1f6 zenon_H1d4 zenon_He5. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.02 apply (zenon_L639_); trivial. % 0.88/1.02 apply (zenon_L443_); trivial. % 0.88/1.02 (* end of lemma zenon_L640_ *) % 0.88/1.02 assert (zenon_L641_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_H16f zenon_H208 zenon_H3 zenon_He5 zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H237 zenon_H238 zenon_H239 zenon_H1 zenon_H90 zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H2f zenon_H31 zenon_Hec. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.02 apply (zenon_L640_); trivial. % 0.88/1.02 apply (zenon_L208_); trivial. % 0.88/1.02 (* end of lemma zenon_L641_ *) % 0.88/1.02 assert (zenon_L642_ : ((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(c2_1 (a270))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(hskp7)) -> False). % 0.88/1.02 do 0 intro. intros zenon_Hb1 zenon_H208 zenon_H213 zenon_H212 zenon_H211 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_Hd9 zenon_Hda zenon_Hdb zenon_He2 zenon_H3. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H209 ]. % 0.88/1.02 apply (zenon_L205_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H4 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_He3 ]. % 0.88/1.02 apply (zenon_L60_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H88 | zenon_intro zenon_Ha3 ]. % 0.88/1.02 apply (zenon_L182_); trivial. % 0.88/1.02 apply (zenon_L46_); trivial. % 0.88/1.02 exact (zenon_H3 zenon_H4). % 0.88/1.02 (* end of lemma zenon_L642_ *) % 0.88/1.02 assert (zenon_L643_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a270))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> (~(hskp19)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> False). % 0.88/1.02 do 0 intro. intros zenon_He4 zenon_He5 zenon_H208 zenon_H3 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_He2 zenon_H213 zenon_H212 zenon_H211 zenon_H179 zenon_H17a zenon_H17b zenon_Had zenon_H113. % 0.88/1.02 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.88/1.02 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.88/1.02 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.02 apply (zenon_L114_); trivial. % 0.88/1.02 apply (zenon_L642_); trivial. % 0.88/1.02 (* end of lemma zenon_L643_ *) % 0.88/1.02 assert (zenon_L644_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(c2_1 (a270))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> (~(hskp19)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_He9 zenon_He5 zenon_H208 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_He2 zenon_H179 zenon_H17a zenon_H17b zenon_Had zenon_H113 zenon_H66 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H103 zenon_Hff zenon_H3 zenon_H1dc zenon_H14f zenon_H1b6. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.02 apply (zenon_L521_); trivial. % 0.88/1.02 apply (zenon_L643_); trivial. % 0.88/1.02 (* end of lemma zenon_L644_ *) % 0.88/1.02 assert (zenon_L645_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(c2_1 (a270))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_He9 zenon_He5 zenon_H208 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_He2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H103 zenon_Hff zenon_H3 zenon_H1dc zenon_H14f zenon_H1b6 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_Hec. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.02 apply (zenon_L644_); trivial. % 0.88/1.02 apply (zenon_L334_); trivial. % 0.88/1.02 apply (zenon_L208_); trivial. % 0.88/1.02 (* end of lemma zenon_L645_ *) % 0.88/1.02 assert (zenon_L646_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_Hec zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_H33 zenon_H34 zenon_H35 zenon_H271 zenon_H7c zenon_H13c zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_H90 zenon_H1 zenon_H239 zenon_H238 zenon_H237 zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H1f5 zenon_H1f6 zenon_H1d4 zenon_He5. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.02 apply (zenon_L639_); trivial. % 0.88/1.02 apply (zenon_L624_); trivial. % 0.88/1.02 (* end of lemma zenon_L646_ *) % 0.88/1.02 assert (zenon_L647_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_H16f zenon_H208 zenon_H3 zenon_He5 zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H237 zenon_H238 zenon_H239 zenon_H1 zenon_H90 zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H13c zenon_H7c zenon_H271 zenon_H35 zenon_H34 zenon_H33 zenon_H116 zenon_H117 zenon_H118 zenon_H129 zenon_Hec. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.02 apply (zenon_L646_); trivial. % 0.88/1.02 apply (zenon_L208_); trivial. % 0.88/1.02 (* end of lemma zenon_L647_ *) % 0.88/1.02 assert (zenon_L648_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> (~(hskp10)) -> ((hskp21)\/((hskp10)\/(hskp23))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c2_1 (a270))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_H42 zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_H7c zenon_H13c zenon_H16f zenon_H208 zenon_H3 zenon_He5 zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H237 zenon_H238 zenon_H239 zenon_H90 zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H31 zenon_Hec zenon_H271 zenon_H1b6 zenon_H14f zenon_H1dc zenon_Hff zenon_H103 zenon_H27a zenon_H1c7 zenon_H66 zenon_He2 zenon_H1f4 zenon_He9 zenon_Hfe. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.02 apply (zenon_L641_); trivial. % 0.88/1.02 apply (zenon_L645_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.02 apply (zenon_L647_); trivial. % 0.88/1.02 apply (zenon_L645_); trivial. % 0.88/1.02 (* end of lemma zenon_L648_ *) % 0.88/1.02 assert (zenon_L649_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> (~(c2_1 (a270))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a281)) -> (~(c0_1 (a281))) -> (~(c2_1 (a281))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_He9 zenon_He5 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_He2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H235 zenon_H208 zenon_H3 zenon_H140 zenon_H13f zenon_H15e zenon_H237 zenon_H238 zenon_H239 zenon_H25b zenon_H25d zenon_H1b6 zenon_H271 zenon_Hec. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.02 apply (zenon_L510_); trivial. % 0.88/1.02 apply (zenon_L643_); trivial. % 0.88/1.02 apply (zenon_L334_); trivial. % 0.88/1.02 apply (zenon_L208_); trivial. % 0.88/1.02 (* end of lemma zenon_L649_ *) % 0.88/1.02 assert (zenon_L650_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp14)\/(hskp17))) -> (~(hskp17)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (~(hskp13)) -> (~(hskp6)) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_Hec zenon_He5 zenon_Hb2 zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H282 zenon_H280 zenon_H2f zenon_H6f zenon_H6d zenon_H6b zenon_H1cd zenon_H1cc zenon_H1cb zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H9f zenon_H2a2 zenon_Hed. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.02 apply (zenon_L115_); trivial. % 0.88/1.02 apply (zenon_L369_); trivial. % 0.88/1.02 apply (zenon_L339_); trivial. % 0.88/1.02 (* end of lemma zenon_L650_ *) % 0.88/1.02 assert (zenon_L651_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c3_1 (a295)) -> (~(c1_1 (a295))) -> (~(c0_1 (a295))) -> (c2_1 (a276)) -> (c3_1 (a276)) -> (c1_1 (a276)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.88/1.02 do 0 intro. intros zenon_H9f zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_Ha5 zenon_Ha6 zenon_Ha4 zenon_H7e zenon_H12 zenon_H6b. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.88/1.02 apply (zenon_L287_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.88/1.02 apply (zenon_L233_); trivial. % 0.88/1.02 exact (zenon_H6b zenon_H6c). % 0.88/1.02 (* end of lemma zenon_L651_ *) % 0.88/1.02 assert (zenon_L652_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a295)) -> (~(c1_1 (a295))) -> (~(c0_1 (a295))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_H170 zenon_Hec zenon_H271 zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H9f zenon_H6b zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H237 zenon_H238 zenon_H239 zenon_H1 zenon_H90 zenon_Ha1 zenon_He5. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.02 apply (zenon_L114_); trivial. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.02 apply (zenon_L142_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.02 apply (zenon_L651_); trivial. % 0.88/1.02 apply (zenon_L398_); trivial. % 0.88/1.02 apply (zenon_L353_); trivial. % 0.88/1.02 (* end of lemma zenon_L652_ *) % 0.88/1.02 assert (zenon_L653_ : ((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_H2b0 zenon_H16f zenon_H271 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H9f zenon_H6b zenon_Ha1 zenon_He5 zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H237 zenon_H238 zenon_H239 zenon_H1 zenon_H90 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H2f zenon_H31 zenon_Hec. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H12. zenon_intro zenon_H2b1. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a9. zenon_intro zenon_H2b2. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2a7. zenon_intro zenon_H2a8. % 0.88/1.02 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.02 apply (zenon_L640_); trivial. % 0.88/1.02 apply (zenon_L652_); trivial. % 0.88/1.02 (* end of lemma zenon_L653_ *) % 0.88/1.02 assert (zenon_L654_ : ((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (~(hskp6)) -> (~(c0_1 (a295))) -> (~(c1_1 (a295))) -> (c3_1 (a295)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> False). % 0.88/1.02 do 0 intro. intros zenon_Hb1 zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H6b zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H9f zenon_Hee zenon_Hef zenon_Hf0. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.88/1.02 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.02 apply (zenon_L142_); trivial. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.02 apply (zenon_L651_); trivial. % 0.88/1.02 apply (zenon_L66_); trivial. % 0.88/1.02 (* end of lemma zenon_L654_ *) % 0.88/1.02 assert (zenon_L655_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c1_1 (a293)) -> (c0_1 (a293)) -> (~(c2_1 (a293))) -> (~(c0_1 (a295))) -> (~(c1_1 (a295))) -> (c3_1 (a295)) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> (~(hskp19)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> False). % 0.88/1.02 do 0 intro. intros zenon_He5 zenon_Ha1 zenon_Hf0 zenon_Hef zenon_Hee zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H6b zenon_H9f zenon_H1cd zenon_H1cc zenon_H1cb zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_Had zenon_H113. % 0.88/1.02 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.02 apply (zenon_L114_); trivial. % 0.88/1.02 apply (zenon_L654_); trivial. % 0.88/1.02 (* end of lemma zenon_L655_ *) % 0.88/1.02 assert (zenon_L656_ : ((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_H2b0 zenon_Hec zenon_H6d zenon_H6f zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H9f zenon_H6b zenon_Hee zenon_Hef zenon_Hf0 zenon_Ha1 zenon_He5. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H12. zenon_intro zenon_H2b1. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a9. zenon_intro zenon_H2b2. % 0.88/1.02 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2a7. zenon_intro zenon_H2a8. % 0.88/1.02 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.02 apply (zenon_L655_); trivial. % 0.88/1.02 apply (zenon_L373_); trivial. % 0.88/1.02 (* end of lemma zenon_L656_ *) % 0.88/1.02 assert (zenon_L657_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> (~(hskp6)) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (~(hskp14)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.88/1.02 do 0 intro. intros zenon_Hf9 zenon_H2b3 zenon_Ha1 zenon_Hed zenon_H2a2 zenon_H9f zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H1cb zenon_H1cc zenon_H1cd zenon_H6b zenon_H6d zenon_H6f zenon_H2f zenon_H282 zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_Hb2 zenon_He5 zenon_Hec. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H280 | zenon_intro zenon_H2b0 ]. % 0.88/1.03 apply (zenon_L650_); trivial. % 0.88/1.03 apply (zenon_L656_); trivial. % 0.88/1.03 (* end of lemma zenon_L657_ *) % 0.88/1.03 assert (zenon_L658_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp14)\/(hskp17))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (~(hskp13)) -> (~(hskp6)) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hfe zenon_Hec zenon_He5 zenon_Hb2 zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H282 zenon_H2f zenon_H6f zenon_H6d zenon_H6b zenon_H1cd zenon_H1cc zenon_H1cb zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H9f zenon_H2a2 zenon_Hed zenon_H31 zenon_H90 zenon_H239 zenon_H238 zenon_H237 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H1f5 zenon_H1f6 zenon_H1d4 zenon_Ha1 zenon_H271 zenon_H16f zenon_H2b3. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H280 | zenon_intro zenon_H2b0 ]. % 0.88/1.03 apply (zenon_L650_); trivial. % 0.88/1.03 apply (zenon_L653_); trivial. % 0.88/1.03 apply (zenon_L657_); trivial. % 0.88/1.03 (* end of lemma zenon_L658_ *) % 0.88/1.03 assert (zenon_L659_ : ((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp14)\/(hskp17))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (~(hskp6)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295))))))) -> (~(hskp9)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H222 zenon_H150 zenon_Hfe zenon_Hec zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H282 zenon_H6f zenon_H6b zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H9f zenon_H2a2 zenon_Hed zenon_H31 zenon_H90 zenon_H239 zenon_H238 zenon_H237 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H1f5 zenon_H1f6 zenon_H1d4 zenon_Ha1 zenon_H271 zenon_H16f zenon_H2b3 zenon_H3c zenon_H3e zenon_H42. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.03 apply (zenon_L658_); trivial. % 0.88/1.03 apply (zenon_L20_); trivial. % 0.88/1.03 apply (zenon_L386_); trivial. % 0.88/1.03 (* end of lemma zenon_L659_ *) % 0.88/1.03 assert (zenon_L660_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H170 zenon_Hec zenon_H1d4 zenon_H1f5 zenon_H1f6 zenon_H271 zenon_H1 zenon_H90 zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H1c7 zenon_H1c9 zenon_Hed. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.03 apply (zenon_L529_); trivial. % 0.88/1.03 apply (zenon_L353_); trivial. % 0.88/1.03 (* end of lemma zenon_L660_ *) % 0.88/1.03 assert (zenon_L661_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a295)) -> (~(c1_1 (a295))) -> (~(c0_1 (a295))) -> (~(hskp22)) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H66 zenon_H9f zenon_H6b zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H198 zenon_H1c7 zenon_H27a. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.88/1.03 apply (zenon_L268_); trivial. % 0.88/1.03 apply (zenon_L371_); trivial. % 0.88/1.03 (* end of lemma zenon_L661_ *) % 0.88/1.03 assert (zenon_L662_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (~(c0_1 (a305))) -> (~(c3_1 (a305))) -> (c1_1 (a305)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp21)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a295))) -> (~(c1_1 (a295))) -> (c3_1 (a295)) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H1b6 zenon_H25d zenon_H25b zenon_Hb7 zenon_Hb8 zenon_Hb9 zenon_H237 zenon_H238 zenon_H239 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_Hd4 zenon_H235 zenon_H27a zenon_H1c7 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H6b zenon_H9f zenon_H66. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.88/1.03 apply (zenon_L661_); trivial. % 0.88/1.03 apply (zenon_L488_); trivial. % 0.88/1.03 (* end of lemma zenon_L662_ *) % 0.88/1.03 assert (zenon_L663_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a295)) -> (~(c1_1 (a295))) -> (~(c0_1 (a295))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hc7 zenon_He9 zenon_H14f zenon_H20c zenon_H204 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H66 zenon_H9f zenon_H6b zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1c7 zenon_H27a zenon_H235 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H25b zenon_H25d zenon_H1b6. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.88/1.03 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.03 apply (zenon_L662_); trivial. % 0.88/1.03 apply (zenon_L607_); trivial. % 0.88/1.03 (* end of lemma zenon_L663_ *) % 0.88/1.03 assert (zenon_L664_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a295)) -> (~(c1_1 (a295))) -> (~(c0_1 (a295))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hed zenon_He9 zenon_H14f zenon_H20c zenon_H204 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H66 zenon_H9f zenon_H6b zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H1c7 zenon_H27a zenon_H235 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H25b zenon_H25d zenon_H1b6 zenon_H113 zenon_Had zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hb2 zenon_He5. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.03 apply (zenon_L115_); trivial. % 0.88/1.03 apply (zenon_L663_); trivial. % 0.88/1.03 (* end of lemma zenon_L664_ *) % 0.88/1.03 assert (zenon_L665_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a295))) -> (~(c1_1 (a295))) -> (c3_1 (a295)) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> (~(c2_1 (a270))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H170 zenon_Hec zenon_H1d4 zenon_H271 zenon_H1 zenon_H90 zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H1b6 zenon_H25d zenon_H25b zenon_H237 zenon_H238 zenon_H239 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H235 zenon_H27a zenon_H1c7 zenon_H2a7 zenon_H2a8 zenon_H2a9 zenon_H6b zenon_H9f zenon_H66 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H204 zenon_H20c zenon_H14f zenon_He9 zenon_Hed. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.03 apply (zenon_L664_); trivial. % 0.88/1.03 apply (zenon_L353_); trivial. % 0.88/1.03 (* end of lemma zenon_L665_ *) % 0.88/1.03 assert (zenon_L666_ : ((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> (~(c2_1 (a270))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H2b0 zenon_H16f zenon_H271 zenon_Hb2 zenon_H1b6 zenon_H25d zenon_H25b zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H235 zenon_H27a zenon_H1c7 zenon_H6b zenon_H9f zenon_H66 zenon_H1f4 zenon_H204 zenon_H20c zenon_H14f zenon_He9 zenon_Hed zenon_He5 zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H237 zenon_H238 zenon_H239 zenon_H1 zenon_H90 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H2f zenon_H31 zenon_Hec. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H12. zenon_intro zenon_H2b1. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a9. zenon_intro zenon_H2b2. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2a7. zenon_intro zenon_H2a8. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.03 apply (zenon_L640_); trivial. % 0.88/1.03 apply (zenon_L665_); trivial. % 0.88/1.03 (* end of lemma zenon_L666_ *) % 0.88/1.03 assert (zenon_L667_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hf9 zenon_Hec zenon_H271 zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c7 zenon_H1c9 zenon_Hed. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.03 apply (zenon_L422_); trivial. % 0.88/1.03 apply (zenon_L334_); trivial. % 0.88/1.03 (* end of lemma zenon_L667_ *) % 0.88/1.03 assert (zenon_L668_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hed zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H237 zenon_H238 zenon_H239 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H113 zenon_Had zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hb2 zenon_He5. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.03 apply (zenon_L115_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.88/1.03 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.03 apply (zenon_L114_); trivial. % 0.88/1.03 apply (zenon_L619_); trivial. % 0.88/1.03 (* end of lemma zenon_L668_ *) % 0.88/1.03 assert (zenon_L669_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp14)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hec zenon_H31 zenon_H2f zenon_He5 zenon_Hb2 zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_H1f5 zenon_H1f6 zenon_H1d4 zenon_Hed. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.03 apply (zenon_L668_); trivial. % 0.88/1.03 apply (zenon_L443_); trivial. % 0.88/1.03 (* end of lemma zenon_L669_ *) % 0.88/1.03 assert (zenon_L670_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hc7 zenon_H1d4 zenon_H19f zenon_H19e zenon_H19d zenon_H15f zenon_H160 zenon_H161 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_Hc5 zenon_H1f5 zenon_H1f6 zenon_Hc1 zenon_H92 zenon_H93. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.88/1.03 apply (zenon_L361_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.88/1.03 apply (zenon_L316_); trivial. % 0.88/1.03 apply (zenon_L423_); trivial. % 0.88/1.03 (* end of lemma zenon_L670_ *) % 0.88/1.03 assert (zenon_L671_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hed zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H15f zenon_H160 zenon_H161 zenon_H19d zenon_H19e zenon_H19f zenon_H271 zenon_H237 zenon_H238 zenon_H239 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H113 zenon_Had zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hb2 zenon_He5. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.03 apply (zenon_L115_); trivial. % 0.88/1.03 apply (zenon_L670_); trivial. % 0.88/1.03 (* end of lemma zenon_L671_ *) % 0.88/1.03 assert (zenon_L672_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H170 zenon_Hec zenon_H1 zenon_H90 zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H271 zenon_H19f zenon_H19e zenon_H19d zenon_H1f5 zenon_H1f6 zenon_H1d4 zenon_Hed. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.03 apply (zenon_L671_); trivial. % 0.88/1.03 apply (zenon_L353_); trivial. % 0.88/1.03 (* end of lemma zenon_L672_ *) % 0.88/1.03 assert (zenon_L673_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c1_1 (a293)) -> (c0_1 (a293)) -> (~(c2_1 (a293))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hec zenon_H271 zenon_Hf0 zenon_Hef zenon_Hee zenon_He5 zenon_Hb2 zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_H1f5 zenon_H1f6 zenon_H1d4 zenon_Hed. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.03 apply (zenon_L668_); trivial. % 0.88/1.03 apply (zenon_L334_); trivial. % 0.88/1.03 (* end of lemma zenon_L673_ *) % 0.88/1.03 assert (zenon_L674_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_H19f zenon_H19e zenon_H19d zenon_Hed zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H237 zenon_H238 zenon_H239 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_Hb2 zenon_He5 zenon_H271 zenon_Hec. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.03 apply (zenon_L673_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.03 apply (zenon_L671_); trivial. % 0.88/1.03 apply (zenon_L334_); trivial. % 0.88/1.03 (* end of lemma zenon_L674_ *) % 0.88/1.03 assert (zenon_L675_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hec zenon_H1 zenon_H90 zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_H33 zenon_H34 zenon_H35 zenon_H271 zenon_H7c zenon_H13c zenon_He5 zenon_Hb2 zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_H1f5 zenon_H1f6 zenon_H1d4 zenon_Hed. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.03 apply (zenon_L668_); trivial. % 0.88/1.03 apply (zenon_L624_); trivial. % 0.88/1.03 (* end of lemma zenon_L675_ *) % 0.88/1.03 assert (zenon_L676_ : ((ndr1_0)/\((c1_1 (a273))/\((c2_1 (a273))/\(~(c0_1 (a273)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a274))/\((c1_1 (a274))/\(~(c3_1 (a274))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp8)) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a275)))/\((~(c2_1 (a275)))/\(~(c3_1 (a275))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H1f0 zenon_H225 zenon_Hed zenon_Hc5 zenon_Hb2 zenon_H2bc zenon_H239 zenon_H238 zenon_H237 zenon_H16f zenon_H208 zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H27a zenon_H179 zenon_H17a zenon_H17b zenon_H1b4 zenon_H1b6 zenon_Hfe zenon_Hec zenon_H31 zenon_H113 zenon_H90 zenon_H1f5 zenon_H1f6 zenon_H1d4 zenon_He5 zenon_H271 zenon_Ha1 zenon_H13c zenon_H7c zenon_H129 zenon_H42 zenon_H226 zenon_H14d. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.03 apply (zenon_L294_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.03 apply (zenon_L573_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.03 apply (zenon_L640_); trivial. % 0.88/1.03 apply (zenon_L399_); trivial. % 0.88/1.03 apply (zenon_L574_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.03 apply (zenon_L646_); trivial. % 0.88/1.03 apply (zenon_L399_); trivial. % 0.88/1.03 apply (zenon_L574_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.03 apply (zenon_L294_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.03 apply (zenon_L669_); trivial. % 0.88/1.03 apply (zenon_L672_); trivial. % 0.88/1.03 apply (zenon_L674_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.03 apply (zenon_L675_); trivial. % 0.88/1.03 apply (zenon_L672_); trivial. % 0.88/1.03 apply (zenon_L674_); trivial. % 0.88/1.03 (* end of lemma zenon_L676_ *) % 0.88/1.03 assert (zenon_L677_ : ((ndr1_0)/\((c0_1 (a272))/\((~(c1_1 (a272)))/\(~(c3_1 (a272)))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a273))/\((c2_1 (a273))/\(~(c0_1 (a273))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a275)))/\((~(c2_1 (a275)))/\(~(c3_1 (a275))))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> (~(c2_1 (a270))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp8)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a274))/\((c1_1 (a274))/\(~(c3_1 (a274))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H2c9 zenon_H2ca zenon_H1b4 zenon_H14d zenon_H151 zenon_H226 zenon_Ha1 zenon_H7 zenon_Hfe zenon_He9 zenon_H1f4 zenon_He2 zenon_H66 zenon_H27a zenon_H103 zenon_H1dc zenon_H14f zenon_H1b6 zenon_H271 zenon_Hec zenon_H31 zenon_H113 zenon_H90 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H1f5 zenon_H1f6 zenon_H1d4 zenon_He5 zenon_H208 zenon_H16f zenon_H13c zenon_H7c zenon_H129 zenon_H42 zenon_H3e zenon_H25d zenon_H25b zenon_H235 zenon_H14e zenon_H237 zenon_H238 zenon_H239 zenon_H2bc zenon_H282 zenon_H9f zenon_H2a2 zenon_H2b3 zenon_Hed zenon_H1c9 zenon_Hc5 zenon_Hb2 zenon_H263 zenon_H273 zenon_H6f zenon_H150 zenon_H6a zenon_H20a zenon_Hd6 zenon_H13d zenon_H204 zenon_H20c zenon_H225. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H12. zenon_intro zenon_H2cb. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H17b. zenon_intro zenon_H2cc. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.03 apply (zenon_L294_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.03 apply (zenon_L648_); trivial. % 0.88/1.03 apply (zenon_L525_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.03 apply (zenon_L641_); trivial. % 0.88/1.03 apply (zenon_L649_); trivial. % 0.88/1.03 apply (zenon_L20_); trivial. % 0.88/1.03 apply (zenon_L525_); trivial. % 0.88/1.03 apply (zenon_L527_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.03 apply (zenon_L294_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.03 apply (zenon_L427_); trivial. % 0.88/1.03 apply (zenon_L659_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H280 | zenon_intro zenon_H2b0 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.03 apply (zenon_L528_); trivial. % 0.88/1.03 apply (zenon_L660_); trivial. % 0.88/1.03 apply (zenon_L666_); trivial. % 0.88/1.03 apply (zenon_L667_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.03 apply (zenon_L499_); trivial. % 0.88/1.03 apply (zenon_L660_); trivial. % 0.88/1.03 apply (zenon_L667_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.03 apply (zenon_L658_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.03 apply (zenon_L646_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.03 apply (zenon_L115_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.88/1.03 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.03 apply (zenon_L114_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.03 apply (zenon_L94_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.03 apply (zenon_L567_); trivial. % 0.88/1.03 apply (zenon_L398_); trivial. % 0.88/1.03 apply (zenon_L353_); trivial. % 0.88/1.03 apply (zenon_L569_); trivial. % 0.88/1.03 apply (zenon_L425_); trivial. % 0.88/1.03 apply (zenon_L676_); trivial. % 0.88/1.03 (* end of lemma zenon_L677_ *) % 0.88/1.03 assert (zenon_L678_ : (forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12)))))) -> (ndr1_0) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H2ec zenon_H12 zenon_H2ed zenon_H2ee zenon_H2ef. % 0.88/1.03 generalize (zenon_H2ec (a267)). zenon_intro zenon_H2f0. % 0.88/1.03 apply (zenon_imply_s _ _ zenon_H2f0); [ zenon_intro zenon_H11 | zenon_intro zenon_H2f1 ]. % 0.88/1.03 exact (zenon_H11 zenon_H12). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2f1); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H2f2 ]. % 0.88/1.03 exact (zenon_H2ed zenon_H2f3). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H2f4 ]. % 0.88/1.03 exact (zenon_H2ee zenon_H2f5). % 0.88/1.03 exact (zenon_H2f4 zenon_H2ef). % 0.88/1.03 (* end of lemma zenon_L678_ *) % 0.88/1.03 assert (zenon_L679_ : ((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (~(hskp5)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H222 zenon_H2f6 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H4f. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H71 | zenon_intro zenon_H2f7 ]. % 0.88/1.03 apply (zenon_L142_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2ec | zenon_intro zenon_H50 ]. % 0.88/1.03 apply (zenon_L678_); trivial. % 0.88/1.03 exact (zenon_H4f zenon_H50). % 0.88/1.03 (* end of lemma zenon_L679_ *) % 0.88/1.03 assert (zenon_L680_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> ((hskp29)\/((hskp9)\/(hskp11))) -> (~(hskp9)) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp3)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H226 zenon_H2f6 zenon_H4f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H2bd zenon_H3c zenon_H5d zenon_H5f zenon_H62 zenon_H66. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.03 apply (zenon_L298_); trivial. % 0.88/1.03 apply (zenon_L679_); trivial. % 0.88/1.03 (* end of lemma zenon_L680_ *) % 0.88/1.03 assert (zenon_L681_ : ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a280))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H2f8 zenon_H46 zenon_H45 zenon_H71 zenon_H44 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H12 zenon_Hb. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_H88 | zenon_intro zenon_H2f9 ]. % 0.88/1.03 apply (zenon_L55_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H2ec | zenon_intro zenon_Hc ]. % 0.88/1.03 apply (zenon_L678_); trivial. % 0.88/1.03 exact (zenon_Hb zenon_Hc). % 0.88/1.03 (* end of lemma zenon_L681_ *) % 0.88/1.03 assert (zenon_L682_ : ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> (c3_1 (a280)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (~(c1_1 (a280))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H2f8 zenon_H46 zenon_H89 zenon_H44 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H12 zenon_Hb. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_H88 | zenon_intro zenon_H2f9 ]. % 0.88/1.03 apply (zenon_L40_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H2ec | zenon_intro zenon_Hc ]. % 0.88/1.03 apply (zenon_L678_); trivial. % 0.88/1.03 exact (zenon_Hb zenon_Hc). % 0.88/1.03 (* end of lemma zenon_L682_ *) % 0.88/1.03 assert (zenon_L683_ : ((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp1)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> (~(hskp3)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H153 zenon_H1ba zenon_Hb zenon_H2ed zenon_H2ee zenon_H2ef zenon_H2f8 zenon_H5d. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H71 | zenon_intro zenon_H1bb ]. % 0.88/1.03 apply (zenon_L681_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H89 | zenon_intro zenon_H5e ]. % 0.88/1.03 apply (zenon_L682_); trivial. % 0.88/1.03 exact (zenon_H5d zenon_H5e). % 0.88/1.03 (* end of lemma zenon_L683_ *) % 0.88/1.03 assert (zenon_L684_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp1)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp7)\/(hskp12))) -> (~(c3_1 (a271))) -> (~(c1_1 (a271))) -> (~(c0_1 (a271))) -> (ndr1_0) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H151 zenon_H1ba zenon_H5d zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hb zenon_H2f8 zenon_H122 zenon_H11f zenon_H3 zenon_H1d6 zenon_H189 zenon_H188 zenon_H187 zenon_H12 zenon_H31 zenon_H3e zenon_H42 zenon_H6a. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.03 apply (zenon_L146_); trivial. % 0.88/1.03 apply (zenon_L683_); trivial. % 0.88/1.03 (* end of lemma zenon_L684_ *) % 0.88/1.03 assert (zenon_L685_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(c3_1 (a352))) -> (c1_1 (a352)) -> (~(c2_1 (a352))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3))))) -> (~(hskp8)) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hfa zenon_H46 zenon_H45 zenon_H44 zenon_H277 zenon_H266 zenon_H265 zenon_H12 zenon_H115 zenon_Hf7. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H43 | zenon_intro zenon_Hfd ]. % 0.88/1.03 apply (zenon_L22_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9b | zenon_intro zenon_Hf8 ]. % 0.88/1.03 apply (zenon_L612_); trivial. % 0.88/1.03 exact (zenon_Hf7 zenon_Hf8). % 0.88/1.03 (* end of lemma zenon_L685_ *) % 0.88/1.03 assert (zenon_L686_ : ((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(c3_1 (a271))) -> (~(c1_1 (a271))) -> (~(c0_1 (a271))) -> (~(hskp8)) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> (~(hskp2)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H274 zenon_H122 zenon_H189 zenon_H188 zenon_H187 zenon_Hf7 zenon_H44 zenon_H45 zenon_H46 zenon_Hfa zenon_H11f. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H12. zenon_intro zenon_H275. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H266. zenon_intro zenon_H276. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H265. zenon_intro zenon_H277. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H10f | zenon_intro zenon_H126 ]. % 0.88/1.03 apply (zenon_L121_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H115 | zenon_intro zenon_H120 ]. % 0.88/1.03 apply (zenon_L685_); trivial. % 0.88/1.03 exact (zenon_H11f zenon_H120). % 0.88/1.03 (* end of lemma zenon_L686_ *) % 0.88/1.03 assert (zenon_L687_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(hskp8)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> (~(c3_1 (a271))) -> (~(c1_1 (a271))) -> (~(c0_1 (a271))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H273 zenon_H122 zenon_H11f zenon_H44 zenon_H45 zenon_H46 zenon_Hf7 zenon_Hfa zenon_H189 zenon_H188 zenon_H187 zenon_H2f zenon_H9 zenon_H263. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H261 | zenon_intro zenon_H274 ]. % 0.88/1.03 apply (zenon_L263_); trivial. % 0.88/1.03 apply (zenon_L686_); trivial. % 0.88/1.03 (* end of lemma zenon_L687_ *) % 0.88/1.03 assert (zenon_L688_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp27)) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H2f6 zenon_H7a zenon_H45 zenon_H46 zenon_H44 zenon_H33 zenon_H34 zenon_H35 zenon_H7c zenon_H2ef zenon_H2ee zenon_H2ed zenon_H12 zenon_H4f. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H71 | zenon_intro zenon_H2f7 ]. % 0.88/1.03 apply (zenon_L38_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2ec | zenon_intro zenon_H50 ]. % 0.88/1.03 apply (zenon_L678_); trivial. % 0.88/1.03 exact (zenon_H4f zenon_H50). % 0.88/1.03 (* end of lemma zenon_L688_ *) % 0.88/1.03 assert (zenon_L689_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (ndr1_0) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> False). % 0.88/1.03 do 0 intro. intros zenon_He5 zenon_Hb2 zenon_Haf zenon_Had zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H35 zenon_H34 zenon_H33 zenon_H12 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6. % 0.88/1.03 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.03 apply (zenon_L688_); trivial. % 0.88/1.03 apply (zenon_L49_); trivial. % 0.88/1.03 (* end of lemma zenon_L689_ *) % 0.88/1.03 assert (zenon_L690_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (~(hskp5)) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hc7 zenon_H2f6 zenon_H93 zenon_H92 zenon_Hc1 zenon_H44 zenon_H45 zenon_H46 zenon_Hc5 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H4f. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H71 | zenon_intro zenon_H2f7 ]. % 0.88/1.03 apply (zenon_L94_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2ec | zenon_intro zenon_H50 ]. % 0.88/1.03 apply (zenon_L678_); trivial. % 0.88/1.03 exact (zenon_H4f zenon_H50). % 0.88/1.03 (* end of lemma zenon_L690_ *) % 0.88/1.03 assert (zenon_L691_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp21)) -> (~(c3_1 (a303))) -> (c1_1 (a303)) -> (c2_1 (a303)) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H2f6 zenon_Hd4 zenon_Hcb zenon_Hcc zenon_Hcd zenon_H44 zenon_H45 zenon_H46 zenon_Hd6 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H12 zenon_H4f. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H71 | zenon_intro zenon_H2f7 ]. % 0.88/1.03 apply (zenon_L58_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2ec | zenon_intro zenon_H50 ]. % 0.88/1.03 apply (zenon_L678_); trivial. % 0.88/1.03 exact (zenon_H4f zenon_H50). % 0.88/1.03 (* end of lemma zenon_L691_ *) % 0.88/1.03 assert (zenon_L692_ : ((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (~(hskp5)) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hb1 zenon_H2f6 zenon_H44 zenon_H45 zenon_H46 zenon_Hd9 zenon_Hda zenon_Hdb zenon_He2 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H4f. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H71 | zenon_intro zenon_H2f7 ]. % 0.88/1.03 apply (zenon_L61_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2ec | zenon_intro zenon_H50 ]. % 0.88/1.03 apply (zenon_L678_); trivial. % 0.88/1.03 exact (zenon_H4f zenon_H50). % 0.88/1.03 (* end of lemma zenon_L692_ *) % 0.88/1.03 assert (zenon_L693_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> False). % 0.88/1.03 do 0 intro. intros zenon_He4 zenon_He5 zenon_He2 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H35 zenon_H34 zenon_H33 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6. % 0.88/1.03 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.88/1.03 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.88/1.03 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.88/1.03 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.03 apply (zenon_L688_); trivial. % 0.88/1.03 apply (zenon_L692_); trivial. % 0.88/1.03 (* end of lemma zenon_L693_ *) % 0.88/1.03 assert (zenon_L694_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> False). % 0.88/1.03 do 0 intro. intros zenon_He8 zenon_He9 zenon_He5 zenon_He2 zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_Hd6 zenon_H46 zenon_H45 zenon_H44 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6. % 0.88/1.03 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.88/1.03 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.03 apply (zenon_L691_); trivial. % 0.88/1.03 apply (zenon_L693_); trivial. % 0.88/1.03 (* end of lemma zenon_L694_ *) % 0.88/1.03 assert (zenon_L695_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H3f zenon_Hec zenon_He9 zenon_He2 zenon_Hd6 zenon_He5 zenon_Hb2 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_Hed. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.03 apply (zenon_L689_); trivial. % 0.88/1.03 apply (zenon_L690_); trivial. % 0.88/1.03 apply (zenon_L694_); trivial. % 0.88/1.03 (* end of lemma zenon_L695_ *) % 0.88/1.03 assert (zenon_L696_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H67 zenon_H42 zenon_Hec zenon_He9 zenon_He2 zenon_Hd6 zenon_He5 zenon_Hb2 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_Hed zenon_H31. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.03 apply (zenon_L16_); trivial. % 0.88/1.03 apply (zenon_L695_); trivial. % 0.88/1.03 (* end of lemma zenon_L696_ *) % 0.88/1.03 assert (zenon_L697_ : ((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp8)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> (~(c3_1 (a271))) -> (~(c1_1 (a271))) -> (~(c0_1 (a271))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H153 zenon_H6a zenon_H31 zenon_H273 zenon_H122 zenon_H11f zenon_Hf7 zenon_Hfa zenon_H189 zenon_H188 zenon_H187 zenon_H263 zenon_Hed zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H2f6 zenon_H4f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H7c zenon_Hb2 zenon_He5 zenon_Hd6 zenon_He2 zenon_He9 zenon_Hec zenon_H42. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.03 apply (zenon_L687_); trivial. % 0.88/1.03 apply (zenon_L695_); trivial. % 0.88/1.03 apply (zenon_L696_); trivial. % 0.88/1.03 (* end of lemma zenon_L697_ *) % 0.88/1.03 assert (zenon_L698_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(c1_1 (a271))) -> (~(hskp13)) -> (~(hskp6)) -> (ndr1_0) -> (~(c0_1 (a271))) -> (~(c3_1 (a271))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (~(hskp2)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H122 zenon_H188 zenon_H6d zenon_H6b zenon_H12 zenon_H187 zenon_H189 zenon_H6f zenon_H11f. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H10f | zenon_intro zenon_H126 ]. % 0.88/1.03 apply (zenon_L121_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H115 | zenon_intro zenon_H120 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H25 | zenon_intro zenon_H70 ]. % 0.88/1.03 apply (zenon_L125_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H6c | zenon_intro zenon_H6e ]. % 0.88/1.03 exact (zenon_H6b zenon_H6c). % 0.88/1.03 exact (zenon_H6d zenon_H6e). % 0.88/1.03 exact (zenon_H11f zenon_H120). % 0.88/1.03 (* end of lemma zenon_L698_ *) % 0.88/1.03 assert (zenon_L699_ : (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))) -> (~(c1_1 (a318))) -> (c2_1 (a318)) -> (~(c3_1 (a318))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H25 zenon_H12 zenon_Hd8 zenon_H252 zenon_H254 zenon_H253. % 0.88/1.03 generalize (zenon_H25 (a318)). zenon_intro zenon_H2fa. % 0.88/1.03 apply (zenon_imply_s _ _ zenon_H2fa); [ zenon_intro zenon_H11 | zenon_intro zenon_H2fb ]. % 0.88/1.03 exact (zenon_H11 zenon_H12). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2fb); [ zenon_intro zenon_H2fc | zenon_intro zenon_H257 ]. % 0.88/1.03 generalize (zenon_Hd8 (a318)). zenon_intro zenon_H2fd. % 0.88/1.03 apply (zenon_imply_s _ _ zenon_H2fd); [ zenon_intro zenon_H11 | zenon_intro zenon_H2fe ]. % 0.88/1.03 exact (zenon_H11 zenon_H12). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2fe); [ zenon_intro zenon_H258 | zenon_intro zenon_H2ff ]. % 0.88/1.03 exact (zenon_H252 zenon_H258). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H300 | zenon_intro zenon_H259 ]. % 0.88/1.03 exact (zenon_H300 zenon_H2fc). % 0.88/1.03 exact (zenon_H259 zenon_H254). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_H25a | zenon_intro zenon_H259 ]. % 0.88/1.03 exact (zenon_H253 zenon_H25a). % 0.88/1.03 exact (zenon_H259 zenon_H254). % 0.88/1.03 (* end of lemma zenon_L699_ *) % 0.88/1.03 assert (zenon_L700_ : ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp14)) -> (~(c3_1 (a318))) -> (c2_1 (a318)) -> (~(c1_1 (a318))) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))) -> (ndr1_0) -> False). % 0.88/1.03 do 0 intro. intros zenon_H31 zenon_H2f zenon_H253 zenon_H254 zenon_H252 zenon_Hd8 zenon_H12. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H25 | zenon_intro zenon_H30 ]. % 0.88/1.03 apply (zenon_L699_); trivial. % 0.88/1.03 exact (zenon_H2f zenon_H30). % 0.88/1.03 (* end of lemma zenon_L700_ *) % 0.88/1.03 assert (zenon_L701_ : ((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(c3_1 (a313))) -> (~(c2_1 (a313))) -> (~(c1_1 (a313))) -> (~(hskp12)) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H25e zenon_H24 zenon_H20c zenon_H2f zenon_H31 zenon_H107 zenon_H125 zenon_H106 zenon_H9 zenon_Hb zenon_Hf. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H12. zenon_intro zenon_H25f. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H260. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H252. zenon_intro zenon_H253. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ]. % 0.88/1.03 apply (zenon_L8_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H14. zenon_intro zenon_H22. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H13 | zenon_intro zenon_H20d ]. % 0.88/1.03 apply (zenon_L10_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1d8 | zenon_intro zenon_Hd8 ]. % 0.88/1.03 apply (zenon_L147_); trivial. % 0.88/1.03 apply (zenon_L700_); trivial. % 0.88/1.03 (* end of lemma zenon_L701_ *) % 0.88/1.03 assert (zenon_L702_ : ((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> (~(hskp21)) -> (c2_1 (a303)) -> (~(c3_1 (a303))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H121 zenon_H25d zenon_H24 zenon_H20c zenon_H9 zenon_Hb zenon_Hf zenon_H235 zenon_Hd4 zenon_Hcd zenon_Hcb zenon_H2f zenon_H31. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H123. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H106. zenon_intro zenon_H124. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H125. zenon_intro zenon_H107. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H233 | zenon_intro zenon_H25e ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H25 | zenon_intro zenon_H30 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1aa | zenon_intro zenon_H236 ]. % 0.88/1.03 apply (zenon_L166_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H234 ]. % 0.88/1.03 exact (zenon_Hd4 zenon_Hd5). % 0.88/1.03 exact (zenon_H233 zenon_H234). % 0.88/1.03 exact (zenon_H2f zenon_H30). % 0.88/1.03 apply (zenon_L701_); trivial. % 0.88/1.03 (* end of lemma zenon_L702_ *) % 0.88/1.03 assert (zenon_L703_ : ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> (c2_1 (a303)) -> (~(c3_1 (a303))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp21)) -> (~(hskp10)) -> ((hskp21)\/((hskp10)\/(hskp23))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H14f zenon_H25d zenon_H24 zenon_H20c zenon_H9 zenon_Hb zenon_Hf zenon_H235 zenon_Hcd zenon_Hcb zenon_H2f zenon_H31 zenon_Hd4 zenon_Hff zenon_H103. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.88/1.03 apply (zenon_L72_); trivial. % 0.88/1.03 apply (zenon_L702_); trivial. % 0.88/1.03 (* end of lemma zenon_L703_ *) % 0.88/1.03 assert (zenon_L704_ : ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c3_1 (a286)) -> (c1_1 (a286)) -> (~(c0_1 (a286))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36)))))) -> (c3_1 (a337)) -> (c0_1 (a337)) -> (ndr1_0) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30)))))) -> (~(hskp23)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H204 zenon_H81 zenon_H80 zenon_H7f zenon_H19c zenon_H297 zenon_H296 zenon_H12 zenon_H88 zenon_H101. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H205 ]. % 0.88/1.03 generalize (zenon_H1c1 (a286)). zenon_intro zenon_H301. % 0.88/1.03 apply (zenon_imply_s _ _ zenon_H301); [ zenon_intro zenon_H11 | zenon_intro zenon_H302 ]. % 0.88/1.03 exact (zenon_H11 zenon_H12). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H302); [ zenon_intro zenon_H221 | zenon_intro zenon_H84 ]. % 0.88/1.03 generalize (zenon_H19c (a286)). zenon_intro zenon_H303. % 0.88/1.03 apply (zenon_imply_s _ _ zenon_H303); [ zenon_intro zenon_H11 | zenon_intro zenon_H304 ]. % 0.88/1.03 exact (zenon_H11 zenon_H12). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H304); [ zenon_intro zenon_H85 | zenon_intro zenon_H305 ]. % 0.88/1.03 exact (zenon_H7f zenon_H85). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H305); [ zenon_intro zenon_H87 | zenon_intro zenon_H21d ]. % 0.88/1.03 exact (zenon_H87 zenon_H80). % 0.88/1.03 exact (zenon_H21d zenon_H221). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H87 | zenon_intro zenon_H86 ]. % 0.88/1.03 exact (zenon_H87 zenon_H80). % 0.88/1.03 exact (zenon_H86 zenon_H81). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H173 | zenon_intro zenon_H102 ]. % 0.88/1.03 apply (zenon_L283_); trivial. % 0.88/1.03 exact (zenon_H101 zenon_H102). % 0.88/1.03 (* end of lemma zenon_L704_ *) % 0.88/1.03 assert (zenon_L705_ : (forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47)))))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H1f3 zenon_H12 zenon_H179 zenon_H1aa zenon_H17a zenon_H17b. % 0.88/1.03 generalize (zenon_H1f3 (a272)). zenon_intro zenon_H306. % 0.88/1.03 apply (zenon_imply_s _ _ zenon_H306); [ zenon_intro zenon_H11 | zenon_intro zenon_H307 ]. % 0.88/1.03 exact (zenon_H11 zenon_H12). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H17f | zenon_intro zenon_H308 ]. % 0.88/1.03 exact (zenon_H179 zenon_H17f). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H309 | zenon_intro zenon_H180 ]. % 0.88/1.03 generalize (zenon_H1aa (a272)). zenon_intro zenon_H30a. % 0.88/1.03 apply (zenon_imply_s _ _ zenon_H30a); [ zenon_intro zenon_H11 | zenon_intro zenon_H30b ]. % 0.88/1.03 exact (zenon_H11 zenon_H12). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H30b); [ zenon_intro zenon_H181 | zenon_intro zenon_H30c ]. % 0.88/1.03 exact (zenon_H17a zenon_H181). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H180 | zenon_intro zenon_H30d ]. % 0.88/1.03 exact (zenon_H180 zenon_H17b). % 0.88/1.03 exact (zenon_H30d zenon_H309). % 0.88/1.03 exact (zenon_H180 zenon_H17b). % 0.88/1.03 (* end of lemma zenon_L705_ *) % 0.88/1.03 assert (zenon_L706_ : (forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c2_1 (a274)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H1aa zenon_H12 zenon_Hc1 zenon_H92 zenon_H94. % 0.88/1.03 generalize (zenon_H1aa (a274)). zenon_intro zenon_H30e. % 0.88/1.03 apply (zenon_imply_s _ _ zenon_H30e); [ zenon_intro zenon_H11 | zenon_intro zenon_H30f ]. % 0.88/1.03 exact (zenon_H11 zenon_H12). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H310 ]. % 0.88/1.03 exact (zenon_Hc1 zenon_Hc4). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H98 | zenon_intro zenon_H99 ]. % 0.88/1.03 exact (zenon_H98 zenon_H92). % 0.88/1.03 exact (zenon_H99 zenon_H94). % 0.88/1.03 (* end of lemma zenon_L706_ *) % 0.88/1.03 assert (zenon_L707_ : (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H311 zenon_H12 zenon_H1aa zenon_Hc1 zenon_H92 zenon_H93. % 0.88/1.03 generalize (zenon_H311 (a274)). zenon_intro zenon_H312. % 0.88/1.03 apply (zenon_imply_s _ _ zenon_H312); [ zenon_intro zenon_H11 | zenon_intro zenon_H313 ]. % 0.88/1.03 exact (zenon_H11 zenon_H12). % 0.88/1.03 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H94 | zenon_intro zenon_H314 ]. % 0.88/1.03 apply (zenon_L706_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H9a ]. % 0.88/1.03 exact (zenon_Hc1 zenon_Hc4). % 0.88/1.03 exact (zenon_H9a zenon_H93). % 0.88/1.03 (* end of lemma zenon_L707_ *) % 0.88/1.03 assert (zenon_L708_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H315 zenon_H17b zenon_H17a zenon_H179 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H12 zenon_H1aa zenon_Hc1 zenon_H92 zenon_H93. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H316 ]. % 0.88/1.03 apply (zenon_L705_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H2ec | zenon_intro zenon_H311 ]. % 0.88/1.03 apply (zenon_L678_); trivial. % 0.88/1.03 apply (zenon_L707_); trivial. % 0.88/1.03 (* end of lemma zenon_L708_ *) % 0.88/1.03 assert (zenon_L709_ : ((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(c3_1 (a313))) -> (~(c2_1 (a313))) -> (~(c1_1 (a313))) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H1f zenon_H20c zenon_H107 zenon_H125 zenon_H106 zenon_Hd9 zenon_Hda zenon_Hdb. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H14. zenon_intro zenon_H22. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H13 | zenon_intro zenon_H20d ]. % 0.88/1.03 apply (zenon_L10_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H1d8 | zenon_intro zenon_Hd8 ]. % 0.88/1.03 apply (zenon_L147_); trivial. % 0.88/1.03 apply (zenon_L60_); trivial. % 0.88/1.03 (* end of lemma zenon_L709_ *) % 0.88/1.03 assert (zenon_L710_ : ((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313)))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c2_1 (a307)) -> (c0_1 (a307)) -> (~(c1_1 (a307))) -> (~(hskp12)) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H121 zenon_H24 zenon_H20c zenon_Hdb zenon_Hda zenon_Hd9 zenon_H9 zenon_Hb zenon_Hf. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H123. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H106. zenon_intro zenon_H124. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H125. zenon_intro zenon_H107. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_Hd | zenon_intro zenon_H1f ]. % 0.88/1.03 apply (zenon_L8_); trivial. % 0.88/1.03 apply (zenon_L709_); trivial. % 0.88/1.03 (* end of lemma zenon_L710_ *) % 0.88/1.03 assert (zenon_L711_ : ((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp9)) -> (~(hskp11)) -> ((hskp29)\/((hskp9)\/(hskp11))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H2b0 zenon_H66 zenon_H9f zenon_H6b zenon_H3c zenon_H1c7 zenon_H2bd. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H12. zenon_intro zenon_H2b1. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a9. zenon_intro zenon_H2b2. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2a7. zenon_intro zenon_H2a8. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.88/1.03 apply (zenon_L297_); trivial. % 0.88/1.03 apply (zenon_L371_); trivial. % 0.88/1.03 (* end of lemma zenon_L711_ *) % 0.88/1.03 assert (zenon_L712_ : ((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(c3_1 (a271))) -> (~(c1_1 (a271))) -> (~(c0_1 (a271))) -> (~(c3_1 (a352))) -> (c1_1 (a352)) -> (~(c2_1 (a352))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c3_1 (a295)) -> (~(c1_1 (a295))) -> (~(c0_1 (a295))) -> (~(hskp6)) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp2)) -> False). % 0.88/1.03 do 0 intro. intros zenon_Hb1 zenon_H122 zenon_H189 zenon_H188 zenon_H187 zenon_H277 zenon_H266 zenon_H265 zenon_H9f zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H6b zenon_H1cb zenon_H1cc zenon_H1cd zenon_Ha1 zenon_H11f. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.88/1.03 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H10f | zenon_intro zenon_H126 ]. % 0.88/1.03 apply (zenon_L121_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H115 | zenon_intro zenon_H120 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.03 apply (zenon_L142_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.03 apply (zenon_L651_); trivial. % 0.88/1.03 apply (zenon_L612_); trivial. % 0.88/1.03 exact (zenon_H11f zenon_H120). % 0.88/1.03 (* end of lemma zenon_L712_ *) % 0.88/1.03 assert (zenon_L713_ : ((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (~(c0_1 (a271))) -> (~(c1_1 (a271))) -> (~(c3_1 (a271))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H2b0 zenon_Hec zenon_H6d zenon_H6f zenon_H263 zenon_H9 zenon_H2f zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_H187 zenon_H188 zenon_H189 zenon_Ha1 zenon_H6b zenon_H9f zenon_H1cd zenon_H1cc zenon_H1cb zenon_H11f zenon_H122 zenon_He5 zenon_H273. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H12. zenon_intro zenon_H2b1. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a9. zenon_intro zenon_H2b2. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2a7. zenon_intro zenon_H2a8. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H261 | zenon_intro zenon_H274 ]. % 0.88/1.03 apply (zenon_L263_); trivial. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H12. zenon_intro zenon_H275. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H266. zenon_intro zenon_H276. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H265. zenon_intro zenon_H277. % 0.88/1.03 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.03 apply (zenon_L114_); trivial. % 0.88/1.03 apply (zenon_L712_); trivial. % 0.88/1.03 apply (zenon_L373_); trivial. % 0.88/1.03 (* end of lemma zenon_L713_ *) % 0.88/1.03 assert (zenon_L714_ : ((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(c3_1 (a271))) -> (~(c1_1 (a271))) -> (~(c0_1 (a271))) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a286)) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp2)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H274 zenon_H122 zenon_H189 zenon_H188 zenon_H187 zenon_H7f zenon_H80 zenon_H81 zenon_H1cb zenon_H1cc zenon_H1cd zenon_Ha1 zenon_H11f. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H12. zenon_intro zenon_H275. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H266. zenon_intro zenon_H276. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H265. zenon_intro zenon_H277. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H10f | zenon_intro zenon_H126 ]. % 0.88/1.03 apply (zenon_L121_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H115 | zenon_intro zenon_H120 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.03 apply (zenon_L142_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.03 apply (zenon_L39_); trivial. % 0.88/1.03 apply (zenon_L612_); trivial. % 0.88/1.03 exact (zenon_H11f zenon_H120). % 0.88/1.03 (* end of lemma zenon_L714_ *) % 0.88/1.03 assert (zenon_L715_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> (~(c0_1 (a286))) -> (c1_1 (a286)) -> (c3_1 (a286)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c3_1 (a271))) -> (~(c1_1 (a271))) -> (~(c0_1 (a271))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H273 zenon_H122 zenon_H11f zenon_H1cb zenon_H1cc zenon_H1cd zenon_H7f zenon_H80 zenon_H81 zenon_Ha1 zenon_H189 zenon_H188 zenon_H187 zenon_H2f zenon_H9 zenon_H263. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H261 | zenon_intro zenon_H274 ]. % 0.88/1.03 apply (zenon_L263_); trivial. % 0.88/1.03 apply (zenon_L714_); trivial. % 0.88/1.03 (* end of lemma zenon_L715_ *) % 0.88/1.03 assert (zenon_L716_ : ((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a271))) -> (~(c1_1 (a271))) -> (~(c3_1 (a271))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H156 zenon_H42 zenon_H3e zenon_H3c zenon_H263 zenon_H9 zenon_H187 zenon_H188 zenon_H189 zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H11f zenon_H122 zenon_H273. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.03 apply (zenon_L715_); trivial. % 0.88/1.03 apply (zenon_L20_); trivial. % 0.88/1.03 (* end of lemma zenon_L716_ *) % 0.88/1.03 assert (zenon_L717_ : ((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((hskp30)\/((hskp14)\/(hskp17))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (~(hskp6)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c3_1 (a271))) -> (~(c1_1 (a271))) -> (~(c0_1 (a271))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H222 zenon_H6a zenon_H31 zenon_H42 zenon_H3e zenon_H3c zenon_Hec zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H282 zenon_H6f zenon_H6b zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H9f zenon_H2a2 zenon_Hed zenon_H273 zenon_H122 zenon_H11f zenon_Ha1 zenon_H189 zenon_H188 zenon_H187 zenon_H263 zenon_H2b3 zenon_H150. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H280 | zenon_intro zenon_H2b0 ]. % 0.88/1.03 apply (zenon_L650_); trivial. % 0.88/1.03 apply (zenon_L713_); trivial. % 0.88/1.03 apply (zenon_L20_); trivial. % 0.88/1.03 apply (zenon_L716_); trivial. % 0.88/1.03 apply (zenon_L31_); trivial. % 0.88/1.03 (* end of lemma zenon_L717_ *) % 0.88/1.03 assert (zenon_L718_ : ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> (c3_1 (a337)) -> (c0_1 (a337)) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H2f8 zenon_H297 zenon_H296 zenon_H173 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H12 zenon_Hb. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_H88 | zenon_intro zenon_H2f9 ]. % 0.88/1.03 apply (zenon_L283_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H2ec | zenon_intro zenon_Hc ]. % 0.88/1.03 apply (zenon_L678_); trivial. % 0.88/1.03 exact (zenon_Hb zenon_Hc). % 0.88/1.03 (* end of lemma zenon_L718_ *) % 0.88/1.03 assert (zenon_L719_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a281))) -> (c3_1 (a281)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5)))))) -> (~(c0_1 (a281))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> (c3_1 (a337)) -> (c0_1 (a337)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H1d4 zenon_H15e zenon_H140 zenon_H89 zenon_H13f zenon_H2f8 zenon_H297 zenon_H296 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H12 zenon_Hb. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.88/1.03 apply (zenon_L137_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.88/1.03 apply (zenon_L90_); trivial. % 0.88/1.03 apply (zenon_L718_); trivial. % 0.88/1.03 (* end of lemma zenon_L719_ *) % 0.88/1.03 assert (zenon_L720_ : ((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp1)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> (~(c0_1 (a281))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a304)) -> (c1_1 (a304)) -> (c0_1 (a304)) -> (~(hskp6)) -> False). % 0.88/1.03 do 0 intro. intros zenon_H2a3 zenon_H9f zenon_Hb zenon_H2ed zenon_H2ee zenon_H2ef zenon_H2f8 zenon_H13f zenon_H140 zenon_H15e zenon_H1d4 zenon_H56 zenon_H55 zenon_H54 zenon_H6b. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H12. zenon_intro zenon_H2a4. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H296. zenon_intro zenon_H2a5. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H2a6. zenon_intro zenon_H297. % 0.88/1.03 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.88/1.03 apply (zenon_L719_); trivial. % 0.88/1.03 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.88/1.03 apply (zenon_L26_); trivial. % 0.88/1.03 exact (zenon_H6b zenon_H6c). % 0.88/1.03 (* end of lemma zenon_L720_ *) % 0.88/1.03 assert (zenon_L721_ : ((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a281))) -> (~(c2_1 (a281))) -> (c3_1 (a281)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp14)) -> (~(hskp17)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> False). % 0.88/1.03 do 0 intro. intros zenon_H61 zenon_H2a2 zenon_H9f zenon_H6b zenon_H13f zenon_H15e zenon_H140 zenon_H2f8 zenon_Hb zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1d4 zenon_H2f zenon_H280 zenon_H282. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_H12. zenon_intro zenon_H63. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H54. zenon_intro zenon_H64. % 0.88/1.03 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H55. zenon_intro zenon_H56. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a3 ]. % 0.88/1.04 apply (zenon_L277_); trivial. % 0.88/1.04 apply (zenon_L720_); trivial. % 0.88/1.04 (* end of lemma zenon_L721_ *) % 0.88/1.04 assert (zenon_L722_ : (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26)))))) -> (ndr1_0) -> (~(c1_1 (a295))) -> (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y)))))) -> (c3_1 (a295)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H43 zenon_H12 zenon_H2a8 zenon_H24d zenon_H2a9. % 0.88/1.04 generalize (zenon_H43 (a295)). zenon_intro zenon_H317. % 0.88/1.04 apply (zenon_imply_s _ _ zenon_H317); [ zenon_intro zenon_H11 | zenon_intro zenon_H318 ]. % 0.88/1.04 exact (zenon_H11 zenon_H12). % 0.88/1.04 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H2af | zenon_intro zenon_H319 ]. % 0.88/1.04 exact (zenon_H2a8 zenon_H2af). % 0.88/1.04 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H31a | zenon_intro zenon_H2ae ]. % 0.88/1.04 generalize (zenon_H24d (a295)). zenon_intro zenon_H31b. % 0.88/1.04 apply (zenon_imply_s _ _ zenon_H31b); [ zenon_intro zenon_H11 | zenon_intro zenon_H31c ]. % 0.88/1.04 exact (zenon_H11 zenon_H12). % 0.88/1.04 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H2af | zenon_intro zenon_H31d ]. % 0.88/1.04 exact (zenon_H2a8 zenon_H2af). % 0.88/1.04 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H31e | zenon_intro zenon_H2ae ]. % 0.88/1.04 exact (zenon_H31a zenon_H31e). % 0.88/1.04 exact (zenon_H2ae zenon_H2a9). % 0.88/1.04 exact (zenon_H2ae zenon_H2a9). % 0.88/1.04 (* end of lemma zenon_L722_ *) % 0.88/1.04 assert (zenon_L723_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> (c3_1 (a295)) -> (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y)))))) -> (~(c1_1 (a295))) -> (c1_1 (a352)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19)))))) -> (~(c2_1 (a352))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.88/1.04 do 0 intro. intros zenon_Hfa zenon_H2a9 zenon_H24d zenon_H2a8 zenon_H266 zenon_H32 zenon_H265 zenon_H12 zenon_Hf7. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H43 | zenon_intro zenon_Hfd ]. % 0.88/1.04 apply (zenon_L722_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9b | zenon_intro zenon_Hf8 ]. % 0.88/1.04 apply (zenon_L264_); trivial. % 0.88/1.04 exact (zenon_Hf7 zenon_Hf8). % 0.88/1.04 (* end of lemma zenon_L723_ *) % 0.88/1.04 assert (zenon_L724_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a295)) -> (~(c1_1 (a295))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp8)) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H273 zenon_H3e zenon_H3c zenon_Hfa zenon_Hf7 zenon_H2a9 zenon_H2a8 zenon_H2bc zenon_H2f zenon_H9 zenon_H263. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H261 | zenon_intro zenon_H274 ]. % 0.88/1.04 apply (zenon_L263_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H12. zenon_intro zenon_H275. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H266. zenon_intro zenon_H276. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H265. zenon_intro zenon_H277. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H32 | zenon_intro zenon_H3d ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H24d | zenon_intro zenon_Hf8 ]. % 0.88/1.04 apply (zenon_L723_); trivial. % 0.88/1.04 exact (zenon_Hf7 zenon_Hf8). % 0.88/1.04 exact (zenon_H3c zenon_H3d). % 0.88/1.04 (* end of lemma zenon_L724_ *) % 0.88/1.04 assert (zenon_L725_ : ((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295)))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp8)) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H2b0 zenon_H273 zenon_H3e zenon_H3c zenon_Hfa zenon_Hf7 zenon_H2bc zenon_H2f zenon_H9 zenon_H263. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H12. zenon_intro zenon_H2b1. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a9. zenon_intro zenon_H2b2. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2a7. zenon_intro zenon_H2a8. % 0.88/1.04 apply (zenon_L724_); trivial. % 0.88/1.04 (* end of lemma zenon_L725_ *) % 0.88/1.04 assert (zenon_L726_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(hskp8)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((hskp29)\/((hskp9)\/(hskp11))) -> (~(hskp11)) -> (~(hskp9)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp1)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H6a zenon_H31 zenon_H2b3 zenon_H273 zenon_H3e zenon_Hfa zenon_Hf7 zenon_H2bc zenon_H263 zenon_H2bd zenon_H1c7 zenon_H3c zenon_H282 zenon_H1d4 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hb zenon_H2f8 zenon_H140 zenon_H15e zenon_H13f zenon_H6b zenon_H9f zenon_H2a2 zenon_H66 zenon_H42. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H280 | zenon_intro zenon_H2b0 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H4d | zenon_intro zenon_H61 ]. % 0.88/1.04 apply (zenon_L297_); trivial. % 0.88/1.04 apply (zenon_L721_); trivial. % 0.88/1.04 apply (zenon_L725_); trivial. % 0.88/1.04 apply (zenon_L20_); trivial. % 0.88/1.04 apply (zenon_L31_); trivial. % 0.88/1.04 (* end of lemma zenon_L726_ *) % 0.88/1.04 assert (zenon_L727_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp1)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (~(hskp6)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H9f zenon_Hb zenon_H2ed zenon_H2ee zenon_H2ef zenon_H44 zenon_H46 zenon_H2f8 zenon_H93 zenon_H92 zenon_H12 zenon_H9b zenon_H6b. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.88/1.04 apply (zenon_L682_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.88/1.04 apply (zenon_L43_); trivial. % 0.88/1.04 exact (zenon_H6b zenon_H6c). % 0.88/1.04 (* end of lemma zenon_L727_ *) % 0.88/1.04 assert (zenon_L728_ : ((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a280)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp1)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(hskp6)) -> False). % 0.88/1.04 do 0 intro. intros zenon_Hb1 zenon_Ha1 zenon_H45 zenon_H9f zenon_Hb zenon_H2ed zenon_H2ee zenon_H2ef zenon_H44 zenon_H46 zenon_H2f8 zenon_H93 zenon_H92 zenon_H6b. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.04 apply (zenon_L681_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.88/1.04 apply (zenon_L682_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.88/1.04 apply (zenon_L233_); trivial. % 0.88/1.04 exact (zenon_H6b zenon_H6c). % 0.88/1.04 apply (zenon_L727_); trivial. % 0.88/1.04 (* end of lemma zenon_L728_ *) % 0.88/1.04 assert (zenon_L729_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (c2_1 (a280)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1))) -> False). % 0.88/1.04 do 0 intro. intros zenon_Hc7 zenon_He5 zenon_Ha1 zenon_H6b zenon_H9f zenon_H45 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H2f8 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H44 zenon_Hb zenon_H14b. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.88/1.04 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.04 apply (zenon_L218_); trivial. % 0.88/1.04 apply (zenon_L728_); trivial. % 0.88/1.04 (* end of lemma zenon_L729_ *) % 0.88/1.04 assert (zenon_L730_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp1)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> (~(hskp13)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (~(hskp6)) -> False). % 0.88/1.04 do 0 intro. intros zenon_He8 zenon_H9f zenon_Hb zenon_H2ed zenon_H2ee zenon_H2ef zenon_H44 zenon_H46 zenon_H2f8 zenon_H6d zenon_H6f zenon_H6b. % 0.88/1.04 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.88/1.04 apply (zenon_L682_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.88/1.04 apply (zenon_L338_); trivial. % 0.88/1.04 exact (zenon_H6b zenon_H6c). % 0.88/1.04 (* end of lemma zenon_L730_ *) % 0.88/1.04 assert (zenon_L731_ : ((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a280)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp1)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(hskp6)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H156 zenon_Ha1 zenon_H45 zenon_H9f zenon_Hb zenon_H2ed zenon_H2ee zenon_H2ef zenon_H44 zenon_H46 zenon_H2f8 zenon_H93 zenon_H92 zenon_H6b. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.04 apply (zenon_L681_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.04 apply (zenon_L39_); trivial. % 0.88/1.04 apply (zenon_L727_); trivial. % 0.88/1.04 (* end of lemma zenon_L731_ *) % 0.88/1.04 assert (zenon_L732_ : ((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H153 zenon_H150 zenon_Hed zenon_Ha1 zenon_H6b zenon_H9f zenon_H2ed zenon_H2ee zenon_H2ef zenon_H2f8 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_Hb zenon_H14b zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_Hb2 zenon_He5 zenon_H6f zenon_Hec. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.04 apply (zenon_L115_); trivial. % 0.88/1.04 apply (zenon_L729_); trivial. % 0.88/1.04 apply (zenon_L730_); trivial. % 0.88/1.04 apply (zenon_L731_); trivial. % 0.88/1.04 (* end of lemma zenon_L732_ *) % 0.88/1.04 assert (zenon_L733_ : (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))) -> (ndr1_0) -> (~(c2_1 (a287))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(c0_1 (a287))) -> (c1_1 (a287)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H311 zenon_H12 zenon_H34 zenon_H7e zenon_H33 zenon_H35. % 0.88/1.04 generalize (zenon_H311 (a287)). zenon_intro zenon_H31f. % 0.88/1.04 apply (zenon_imply_s _ _ zenon_H31f); [ zenon_intro zenon_H11 | zenon_intro zenon_H320 ]. % 0.88/1.04 exact (zenon_H11 zenon_H12). % 0.88/1.04 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H3b | zenon_intro zenon_H321 ]. % 0.88/1.04 exact (zenon_H34 zenon_H3b). % 0.88/1.04 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_H322 | zenon_intro zenon_H3a ]. % 0.88/1.04 generalize (zenon_H7e (a287)). zenon_intro zenon_H323. % 0.88/1.04 apply (zenon_imply_s _ _ zenon_H323); [ zenon_intro zenon_H11 | zenon_intro zenon_H324 ]. % 0.88/1.04 exact (zenon_H11 zenon_H12). % 0.88/1.04 apply (zenon_or_s _ _ zenon_H324); [ zenon_intro zenon_H39 | zenon_intro zenon_H325 ]. % 0.88/1.04 exact (zenon_H33 zenon_H39). % 0.88/1.04 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H3a | zenon_intro zenon_H326 ]. % 0.88/1.04 exact (zenon_H3a zenon_H35). % 0.88/1.04 exact (zenon_H326 zenon_H322). % 0.88/1.04 exact (zenon_H3a zenon_H35). % 0.88/1.04 (* end of lemma zenon_L733_ *) % 0.88/1.04 assert (zenon_L734_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))) -> (~(c1_1 (a272))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (ndr1_0) -> (~(c2_1 (a287))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(c0_1 (a287))) -> (c1_1 (a287)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H315 zenon_H17b zenon_H17a zenon_H1aa zenon_H179 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H12 zenon_H34 zenon_H7e zenon_H33 zenon_H35. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H316 ]. % 0.88/1.04 apply (zenon_L705_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H2ec | zenon_intro zenon_H311 ]. % 0.88/1.04 apply (zenon_L678_); trivial. % 0.88/1.04 apply (zenon_L733_); trivial. % 0.88/1.04 (* end of lemma zenon_L734_ *) % 0.88/1.04 assert (zenon_L735_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (ndr1_0) -> (~(c2_1 (a287))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(c0_1 (a287))) -> (c1_1 (a287)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H1b4 zenon_H19f zenon_H19e zenon_H19d zenon_H315 zenon_H17b zenon_H17a zenon_H179 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H12 zenon_H34 zenon_H7e zenon_H33 zenon_H35. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b5 ]. % 0.88/1.04 apply (zenon_L130_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H105 | zenon_intro zenon_H1aa ]. % 0.88/1.04 apply (zenon_L106_); trivial. % 0.88/1.04 apply (zenon_L734_); trivial. % 0.88/1.04 (* end of lemma zenon_L735_ *) % 0.88/1.04 assert (zenon_L736_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H3f zenon_Hfe zenon_Hfa zenon_H7 zenon_H3 zenon_H2f8 zenon_Hb zenon_H2ef zenon_H2ee zenon_H2ed zenon_H46 zenon_H45 zenon_H44 zenon_H1b4 zenon_H315 zenon_H17b zenon_H17a zenon_H179 zenon_H19f zenon_H19e zenon_H19d zenon_H16d zenon_Hf7 zenon_H90 zenon_Ha1 zenon_H16f. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.04 apply (zenon_L4_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.04 apply (zenon_L681_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.04 apply (zenon_L735_); trivial. % 0.88/1.04 apply (zenon_L101_); trivial. % 0.88/1.04 apply (zenon_L68_); trivial. % 0.88/1.04 (* end of lemma zenon_L736_ *) % 0.88/1.04 assert (zenon_L737_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8))) -> (~(hskp8)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H67 zenon_H42 zenon_Hfe zenon_Hfa zenon_H7 zenon_H3 zenon_H2f8 zenon_Hb zenon_H2ef zenon_H2ee zenon_H2ed zenon_H46 zenon_H45 zenon_H44 zenon_H1b4 zenon_H315 zenon_H17b zenon_H17a zenon_H179 zenon_H19f zenon_H19e zenon_H19d zenon_H16d zenon_Hf7 zenon_H90 zenon_Ha1 zenon_H16f zenon_H31. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.04 apply (zenon_L16_); trivial. % 0.88/1.04 apply (zenon_L736_); trivial. % 0.88/1.04 (* end of lemma zenon_L737_ *) % 0.88/1.04 assert (zenon_L738_ : (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36)))))) -> (ndr1_0) -> (~(c0_1 (a291))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (c2_1 (a291)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H19c zenon_H12 zenon_H286 zenon_H71 zenon_H288. % 0.88/1.04 generalize (zenon_H19c (a291)). zenon_intro zenon_H2e2. % 0.88/1.04 apply (zenon_imply_s _ _ zenon_H2e2); [ zenon_intro zenon_H11 | zenon_intro zenon_H2e3 ]. % 0.88/1.04 exact (zenon_H11 zenon_H12). % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H28c | zenon_intro zenon_H2e4 ]. % 0.88/1.04 exact (zenon_H286 zenon_H28c). % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H287 | zenon_intro zenon_H28d ]. % 0.88/1.04 apply (zenon_L278_); trivial. % 0.88/1.04 exact (zenon_H28d zenon_H288). % 0.88/1.04 (* end of lemma zenon_L738_ *) % 0.88/1.04 assert (zenon_L739_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (c2_1 (a291)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a291))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H1b4 zenon_H288 zenon_H71 zenon_H286 zenon_H315 zenon_H17b zenon_H17a zenon_H179 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H12 zenon_Hc1 zenon_H92 zenon_H93. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b5 ]. % 0.88/1.04 apply (zenon_L738_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H105 | zenon_intro zenon_H1aa ]. % 0.88/1.04 apply (zenon_L106_); trivial. % 0.88/1.04 apply (zenon_L708_); trivial. % 0.88/1.04 (* end of lemma zenon_L739_ *) % 0.88/1.04 assert (zenon_L740_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H9b zenon_H12 zenon_H1aa zenon_Hc1 zenon_H92 zenon_H93. % 0.88/1.04 generalize (zenon_H9b (a274)). zenon_intro zenon_H9c. % 0.88/1.04 apply (zenon_imply_s _ _ zenon_H9c); [ zenon_intro zenon_H11 | zenon_intro zenon_H9d ]. % 0.88/1.04 exact (zenon_H11 zenon_H12). % 0.88/1.04 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H94 | zenon_intro zenon_H9e ]. % 0.88/1.04 apply (zenon_L706_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H98 | zenon_intro zenon_H9a ]. % 0.88/1.04 exact (zenon_H98 zenon_H92). % 0.88/1.04 exact (zenon_H9a zenon_H93). % 0.88/1.04 (* end of lemma zenon_L740_ *) % 0.88/1.04 assert (zenon_L741_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.88/1.04 do 0 intro. intros zenon_Hfa zenon_H46 zenon_H45 zenon_H44 zenon_H93 zenon_H92 zenon_Hc1 zenon_H1aa zenon_H12 zenon_Hf7. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H43 | zenon_intro zenon_Hfd ]. % 0.88/1.04 apply (zenon_L22_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9b | zenon_intro zenon_Hf8 ]. % 0.88/1.04 apply (zenon_L740_); trivial. % 0.88/1.04 exact (zenon_Hf7 zenon_Hf8). % 0.88/1.04 (* end of lemma zenon_L741_ *) % 0.88/1.04 assert (zenon_L742_ : ((ndr1_0)/\((c0_1 (a274))/\((c1_1 (a274))/\(~(c3_1 (a274)))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a275)))/\((~(c2_1 (a275)))/\(~(c3_1 (a275))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c3_1 (a271))) -> (~(c1_1 (a271))) -> (~(c0_1 (a271))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((hskp15)\/(hskp12))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H184 zenon_H14d zenon_H6a zenon_H2de zenon_H273 zenon_H122 zenon_H11f zenon_H1b4 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H17b zenon_H17a zenon_H179 zenon_H31 zenon_Ha1 zenon_H189 zenon_H188 zenon_H187 zenon_H263 zenon_H19d zenon_H19e zenon_H19f zenon_H27e zenon_H3e zenon_H42 zenon_Hfa zenon_H151. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.88/1.04 apply (zenon_L275_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H261 | zenon_intro zenon_H274 ]. % 0.88/1.04 apply (zenon_L263_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H12. zenon_intro zenon_H275. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H266. zenon_intro zenon_H276. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H265. zenon_intro zenon_H277. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H10f | zenon_intro zenon_H126 ]. % 0.88/1.04 apply (zenon_L121_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H115 | zenon_intro zenon_H120 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.04 apply (zenon_L739_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.04 apply (zenon_L292_); trivial. % 0.88/1.04 apply (zenon_L612_); trivial. % 0.88/1.04 exact (zenon_H11f zenon_H120). % 0.88/1.04 apply (zenon_L20_); trivial. % 0.88/1.04 apply (zenon_L31_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b5 ]. % 0.88/1.04 apply (zenon_L130_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H105 | zenon_intro zenon_H1aa ]. % 0.88/1.04 apply (zenon_L106_); trivial. % 0.88/1.04 apply (zenon_L741_); trivial. % 0.88/1.04 apply (zenon_L122_); trivial. % 0.88/1.04 (* end of lemma zenon_L742_ *) % 0.88/1.04 assert (zenon_L743_ : ((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp12)) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> (~(c3_1 (a311))) -> (c0_1 (a311)) -> (c2_1 (a311)) -> (~(hskp21)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H121 zenon_H25d zenon_H24 zenon_H20c zenon_H2f zenon_H31 zenon_H9 zenon_Hb zenon_Hf zenon_H1ab zenon_H1ac zenon_H1ad zenon_Hd4 zenon_H235. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H123. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H106. zenon_intro zenon_H124. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H125. zenon_intro zenon_H107. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H233 | zenon_intro zenon_H25e ]. % 0.88/1.04 apply (zenon_L252_); trivial. % 0.88/1.04 apply (zenon_L701_); trivial. % 0.88/1.04 (* end of lemma zenon_L743_ *) % 0.88/1.04 assert (zenon_L744_ : ((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp12)) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> (~(hskp21)) -> (~(hskp10)) -> ((hskp21)\/((hskp10)\/(hskp23))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H1b7 zenon_H14f zenon_H25d zenon_H24 zenon_H20c zenon_H2f zenon_H31 zenon_H9 zenon_Hb zenon_Hf zenon_H235 zenon_Hd4 zenon_Hff zenon_H103. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.88/1.04 apply (zenon_L72_); trivial. % 0.88/1.04 apply (zenon_L743_); trivial. % 0.88/1.04 (* end of lemma zenon_L744_ *) % 0.88/1.04 assert (zenon_L745_ : (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))) -> (ndr1_0) -> (~(c2_1 (a352))) -> (~(c3_1 (a352))) -> (c1_1 (a352)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H311 zenon_H12 zenon_H265 zenon_H277 zenon_H266. % 0.88/1.04 generalize (zenon_H311 (a352)). zenon_intro zenon_H327. % 0.88/1.04 apply (zenon_imply_s _ _ zenon_H327); [ zenon_intro zenon_H11 | zenon_intro zenon_H328 ]. % 0.88/1.04 exact (zenon_H11 zenon_H12). % 0.88/1.04 apply (zenon_or_s _ _ zenon_H328); [ zenon_intro zenon_H26a | zenon_intro zenon_H329 ]. % 0.88/1.04 exact (zenon_H265 zenon_H26a). % 0.88/1.04 apply (zenon_or_s _ _ zenon_H329); [ zenon_intro zenon_H2eb | zenon_intro zenon_H26b ]. % 0.88/1.04 exact (zenon_H277 zenon_H2eb). % 0.88/1.04 exact (zenon_H26b zenon_H266). % 0.88/1.04 (* end of lemma zenon_L745_ *) % 0.88/1.04 assert (zenon_L746_ : ((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp23)) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H274 zenon_H315 zenon_H101 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H204 zenon_H2ef zenon_H2ee zenon_H2ed. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H12. zenon_intro zenon_H275. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H266. zenon_intro zenon_H276. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H265. zenon_intro zenon_H277. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H316 ]. % 0.88/1.04 apply (zenon_L174_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H2ec | zenon_intro zenon_H311 ]. % 0.88/1.04 apply (zenon_L678_); trivial. % 0.88/1.04 apply (zenon_L745_); trivial. % 0.88/1.04 (* end of lemma zenon_L746_ *) % 0.88/1.04 assert (zenon_L747_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(hskp23)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H273 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H101 zenon_H204 zenon_H2f zenon_H9 zenon_H263. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H261 | zenon_intro zenon_H274 ]. % 0.88/1.04 apply (zenon_L263_); trivial. % 0.88/1.04 apply (zenon_L746_); trivial. % 0.88/1.04 (* end of lemma zenon_L747_ *) % 0.88/1.04 assert (zenon_L748_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_He4 zenon_H14f zenon_He5 zenon_Hb2 zenon_Haf zenon_H113 zenon_Had zenon_H20c zenon_H263 zenon_H9 zenon_H2f zenon_H204 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273. % 0.88/1.04 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.88/1.04 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.88/1.04 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.88/1.04 apply (zenon_L747_); trivial. % 0.88/1.04 apply (zenon_L411_); trivial. % 0.88/1.04 (* end of lemma zenon_L748_ *) % 0.88/1.04 assert (zenon_L749_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_He4 zenon_H14f zenon_H24 zenon_H20c zenon_Hb zenon_Hf zenon_H263 zenon_H9 zenon_H2f zenon_H204 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273. % 0.88/1.04 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.88/1.04 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.88/1.04 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.88/1.04 apply (zenon_L747_); trivial. % 0.88/1.04 apply (zenon_L710_); trivial. % 0.88/1.04 (* end of lemma zenon_L749_ *) % 0.88/1.04 assert (zenon_L750_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp14)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp12)\/((hskp1)\/(hskp26))) -> (~(hskp1)) -> (~(hskp12)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_He8 zenon_He9 zenon_H263 zenon_H204 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273 zenon_H103 zenon_Hff zenon_H31 zenon_H2f zenon_H235 zenon_Hf zenon_Hb zenon_H9 zenon_H20c zenon_H24 zenon_H25d zenon_H14f. % 0.88/1.04 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.88/1.04 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.04 apply (zenon_L703_); trivial. % 0.88/1.04 apply (zenon_L749_); trivial. % 0.88/1.04 (* end of lemma zenon_L750_ *) % 0.88/1.04 assert (zenon_L751_ : ((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp11)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H274 zenon_H1c9 zenon_H140 zenon_H15e zenon_H13f zenon_H2ed zenon_H2ee zenon_H2ef zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H315 zenon_H1c7. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H12. zenon_intro zenon_H275. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H266. zenon_intro zenon_H276. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H265. zenon_intro zenon_H277. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1ca ]. % 0.88/1.04 apply (zenon_L137_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c8 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H316 ]. % 0.88/1.04 apply (zenon_L172_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H2ec | zenon_intro zenon_H311 ]. % 0.88/1.04 apply (zenon_L678_); trivial. % 0.88/1.04 apply (zenon_L745_); trivial. % 0.88/1.04 exact (zenon_H1c7 zenon_H1c8). % 0.88/1.04 (* end of lemma zenon_L751_ *) % 0.88/1.04 assert (zenon_L752_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H273 zenon_H1c9 zenon_H1c7 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H140 zenon_H15e zenon_H13f zenon_H2f zenon_H9 zenon_H263. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H261 | zenon_intro zenon_H274 ]. % 0.88/1.04 apply (zenon_L263_); trivial. % 0.88/1.04 apply (zenon_L751_); trivial. % 0.88/1.04 (* end of lemma zenon_L752_ *) % 0.88/1.04 assert (zenon_L753_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a281))) -> (~(c2_1 (a281))) -> (c3_1 (a281)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H42 zenon_H3e zenon_H3c zenon_H263 zenon_H9 zenon_H13f zenon_H15e zenon_H140 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H1c7 zenon_H1c9 zenon_H273. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.04 apply (zenon_L752_); trivial. % 0.88/1.04 apply (zenon_L20_); trivial. % 0.88/1.04 (* end of lemma zenon_L753_ *) % 0.88/1.04 assert (zenon_L754_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp9)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H6a zenon_H31 zenon_H273 zenon_H1c9 zenon_H1c7 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H140 zenon_H15e zenon_H13f zenon_H263 zenon_H3c zenon_H3e zenon_H42. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.04 apply (zenon_L753_); trivial. % 0.88/1.04 apply (zenon_L31_); trivial. % 0.88/1.04 (* end of lemma zenon_L754_ *) % 0.88/1.04 assert (zenon_L755_ : ((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H15b zenon_H226 zenon_H2f6 zenon_H4f zenon_H42 zenon_H3e zenon_H3c zenon_H263 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H1c9 zenon_H273 zenon_H31 zenon_H6a. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.04 apply (zenon_L754_); trivial. % 0.88/1.04 apply (zenon_L679_); trivial. % 0.88/1.04 (* end of lemma zenon_L755_ *) % 0.88/1.04 assert (zenon_L756_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> (~(hskp6)) -> (~(hskp9)) -> ((hskp22)\/((hskp6)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H14e zenon_H226 zenon_H2f6 zenon_H4f zenon_H1c9 zenon_H42 zenon_Hed zenon_H3e zenon_H1b6 zenon_H14f zenon_H25d zenon_H24 zenon_H20c zenon_H31 zenon_Hb zenon_Hf zenon_H235 zenon_H103 zenon_H6b zenon_H3c zenon_H231 zenon_H273 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H204 zenon_H263 zenon_H113 zenon_Hb2 zenon_He5 zenon_He9 zenon_Hec zenon_H6a. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.88/1.04 apply (zenon_L250_); trivial. % 0.88/1.04 apply (zenon_L744_); trivial. % 0.88/1.04 apply (zenon_L748_); trivial. % 0.88/1.04 apply (zenon_L163_); trivial. % 0.88/1.04 apply (zenon_L750_); trivial. % 0.88/1.04 apply (zenon_L20_); trivial. % 0.88/1.04 apply (zenon_L31_); trivial. % 0.88/1.04 apply (zenon_L755_); trivial. % 0.88/1.04 (* end of lemma zenon_L756_ *) % 0.88/1.04 assert (zenon_L757_ : ((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp19)) -> (~(hskp7)) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H274 zenon_H315 zenon_Had zenon_H3 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H177 zenon_H2ef zenon_H2ee zenon_H2ed. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H12. zenon_intro zenon_H275. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H266. zenon_intro zenon_H276. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H265. zenon_intro zenon_H277. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H316 ]. % 0.88/1.04 apply (zenon_L196_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H2ec | zenon_intro zenon_H311 ]. % 0.88/1.04 apply (zenon_L678_); trivial. % 0.88/1.04 apply (zenon_L745_); trivial. % 0.88/1.04 (* end of lemma zenon_L757_ *) % 0.88/1.04 assert (zenon_L758_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp7)) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H273 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H3 zenon_Had zenon_H177 zenon_H2f zenon_H9 zenon_H263. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H261 | zenon_intro zenon_H274 ]. % 0.88/1.04 apply (zenon_L263_); trivial. % 0.88/1.04 apply (zenon_L757_); trivial. % 0.88/1.04 (* end of lemma zenon_L758_ *) % 0.88/1.04 assert (zenon_L759_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp7)) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_He9 zenon_He5 zenon_He2 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H35 zenon_H34 zenon_H33 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6 zenon_H66 zenon_H208 zenon_H5 zenon_H206 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H3 zenon_Had zenon_H177 zenon_H1c7 zenon_H27a zenon_H103 zenon_Hff zenon_H1dc zenon_H14f zenon_H1b6. % 0.88/1.04 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.04 apply (zenon_L417_); trivial. % 0.88/1.04 apply (zenon_L693_); trivial. % 0.88/1.04 (* end of lemma zenon_L759_ *) % 0.88/1.04 assert (zenon_L760_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H170 zenon_Hec zenon_He9 zenon_He5 zenon_He2 zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_Hd6 zenon_H46 zenon_H45 zenon_H44 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6 zenon_H177 zenon_H3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H208. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.04 apply (zenon_L197_); trivial. % 0.88/1.04 apply (zenon_L694_); trivial. % 0.88/1.04 (* end of lemma zenon_L760_ *) % 0.88/1.04 assert (zenon_L761_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H3f zenon_H16f zenon_He9 zenon_He5 zenon_He2 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6 zenon_H66 zenon_H208 zenon_H206 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H3 zenon_H177 zenon_H1c7 zenon_H27a zenon_H103 zenon_Hff zenon_H1dc zenon_H14f zenon_H1b6 zenon_Hd6 zenon_Hec. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.04 apply (zenon_L759_); trivial. % 0.88/1.04 apply (zenon_L694_); trivial. % 0.88/1.04 apply (zenon_L760_); trivial. % 0.88/1.04 (* end of lemma zenon_L761_ *) % 0.88/1.04 assert (zenon_L762_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (~(hskp1)) -> (ndr1_0) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(c2_1 (a270))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> (~(hskp11)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H1c9 zenon_H140 zenon_H15e zenon_H13f zenon_Hb zenon_H12 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H2f8 zenon_H1c7. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1ca ]. % 0.88/1.04 apply (zenon_L137_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c8 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_H88 | zenon_intro zenon_H2f9 ]. % 0.88/1.04 apply (zenon_L182_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_H2ec | zenon_intro zenon_Hc ]. % 0.88/1.04 apply (zenon_L678_); trivial. % 0.88/1.04 exact (zenon_Hb zenon_Hc). % 0.88/1.04 exact (zenon_H1c7 zenon_H1c8). % 0.88/1.04 (* end of lemma zenon_L762_ *) % 0.88/1.04 assert (zenon_L763_ : ((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H15b zenon_H226 zenon_H2f6 zenon_H4f zenon_H2f8 zenon_Hb zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c9. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.04 apply (zenon_L762_); trivial. % 0.88/1.04 apply (zenon_L679_); trivial. % 0.88/1.04 (* end of lemma zenon_L763_ *) % 0.88/1.04 assert (zenon_L764_ : ((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp12)\/((hskp1)\/(hskp26))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H153 zenon_H14e zenon_H2f8 zenon_H1c9 zenon_H6a zenon_Hec zenon_He9 zenon_H204 zenon_H103 zenon_H31 zenon_H235 zenon_Hf zenon_Hb zenon_H20c zenon_H24 zenon_H25d zenon_H14f zenon_H263 zenon_H177 zenon_H3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273 zenon_Hd6 zenon_H1b6 zenon_H1dc zenon_H27a zenon_H206 zenon_H208 zenon_H66 zenon_H2f6 zenon_H4f zenon_H7c zenon_He2 zenon_He5 zenon_H16f zenon_H42 zenon_H226. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.04 apply (zenon_L758_); trivial. % 0.88/1.04 apply (zenon_L750_); trivial. % 0.88/1.04 apply (zenon_L761_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.04 apply (zenon_L16_); trivial. % 0.88/1.04 apply (zenon_L761_); trivial. % 0.88/1.04 apply (zenon_L679_); trivial. % 0.88/1.04 apply (zenon_L763_); trivial. % 0.88/1.04 (* end of lemma zenon_L764_ *) % 0.88/1.04 assert (zenon_L765_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp1)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H67 zenon_H150 zenon_Ha1 zenon_H92 zenon_H93 zenon_H9f zenon_H44 zenon_H45 zenon_H46 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hb zenon_H2f8 zenon_H6b zenon_H6f. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.88/1.04 apply (zenon_L35_); trivial. % 0.88/1.04 apply (zenon_L731_); trivial. % 0.88/1.04 (* end of lemma zenon_L765_ *) % 0.88/1.04 assert (zenon_L766_ : ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> (~(hskp2)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H14f zenon_He5 zenon_Hb2 zenon_Haf zenon_H113 zenon_Had zenon_H116 zenon_H117 zenon_H118 zenon_H11f zenon_H122 zenon_H263 zenon_H9 zenon_H2f zenon_H204 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.88/1.04 apply (zenon_L747_); trivial. % 0.88/1.04 apply (zenon_L78_); trivial. % 0.88/1.04 (* end of lemma zenon_L766_ *) % 0.88/1.04 assert (zenon_L767_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> False). % 0.88/1.04 do 0 intro. intros zenon_He8 zenon_He9 zenon_H14f zenon_H24 zenon_H20c zenon_Hb zenon_Hf zenon_H263 zenon_H9 zenon_H2f zenon_H204 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H315 zenon_H273 zenon_Hd6 zenon_H46 zenon_H45 zenon_H44 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6. % 0.88/1.04 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.88/1.04 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.88/1.04 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.04 apply (zenon_L691_); trivial. % 0.88/1.04 apply (zenon_L749_); trivial. % 0.88/1.04 (* end of lemma zenon_L767_ *) % 0.88/1.04 assert (zenon_L768_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp20)) -> (~(hskp19)) -> (~(c0_1 (a291))) -> (c2_1 (a291)) -> (c3_1 (a291)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.88/1.04 do 0 intro. intros zenon_H2f6 zenon_Haf zenon_Had zenon_H286 zenon_H288 zenon_H28f zenon_Hb2 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H12 zenon_H4f. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H71 | zenon_intro zenon_H2f7 ]. % 0.88/1.04 apply (zenon_L280_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2ec | zenon_intro zenon_H50 ]. % 0.88/1.04 apply (zenon_L678_); trivial. % 0.88/1.04 exact (zenon_H4f zenon_H50). % 0.88/1.04 (* end of lemma zenon_L768_ *) % 0.88/1.04 assert (zenon_L769_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (c3_1 (a291)) -> (c2_1 (a291)) -> (~(c0_1 (a291))) -> (ndr1_0) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> False). % 0.88/1.04 do 0 intro. intros zenon_Hed zenon_H3e zenon_H3c zenon_H2f zenon_H31 zenon_Hb2 zenon_Had zenon_H28f zenon_H288 zenon_H286 zenon_H12 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.04 apply (zenon_L768_); trivial. % 0.88/1.04 apply (zenon_L163_); trivial. % 0.88/1.04 (* end of lemma zenon_L769_ *) % 0.88/1.04 assert (zenon_L770_ : ((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp12)\/((hskp1)\/(hskp26))) -> (~(hskp1)) -> (~(hskp12)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp14)) -> (~(hskp9)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H2df zenon_Hec zenon_He9 zenon_H263 zenon_H204 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H315 zenon_H273 zenon_H103 zenon_Hff zenon_H235 zenon_Hf zenon_Hb zenon_H9 zenon_H20c zenon_H24 zenon_H25d zenon_H14f zenon_H2f6 zenon_H4f zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hb2 zenon_H31 zenon_H2f zenon_H3c zenon_H3e zenon_Hed. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.04 apply (zenon_L769_); trivial. % 0.88/1.04 apply (zenon_L750_); trivial. % 0.88/1.04 (* end of lemma zenon_L770_ *) % 0.88/1.04 assert (zenon_L771_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp12)\/((hskp1)\/(hskp26))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp9)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> (ndr1_0) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((hskp15)\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H6a zenon_H2de zenon_Hec zenon_He9 zenon_H263 zenon_H204 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H315 zenon_H273 zenon_H103 zenon_Hff zenon_H235 zenon_Hf zenon_Hb zenon_H20c zenon_H24 zenon_H25d zenon_H14f zenon_H2f6 zenon_H4f zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hb2 zenon_H31 zenon_H3c zenon_H3e zenon_Hed zenon_H12 zenon_H19d zenon_H19e zenon_H19f zenon_H27e zenon_H42. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.88/1.04 apply (zenon_L275_); trivial. % 0.88/1.04 apply (zenon_L770_); trivial. % 0.88/1.04 apply (zenon_L20_); trivial. % 0.88/1.04 apply (zenon_L31_); trivial. % 0.88/1.04 (* end of lemma zenon_L771_ *) % 0.88/1.04 assert (zenon_L772_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((hskp15)\/(hskp12))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H14e zenon_H226 zenon_H2f8 zenon_H1c9 zenon_H42 zenon_H27e zenon_H19f zenon_H19e zenon_H19d zenon_H12 zenon_Hed zenon_H3e zenon_H3c zenon_H31 zenon_Hb2 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6 zenon_H14f zenon_H25d zenon_H24 zenon_H20c zenon_Hb zenon_Hf zenon_H235 zenon_H103 zenon_H273 zenon_H315 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H204 zenon_H263 zenon_He9 zenon_Hec zenon_H2de zenon_H6a. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.04 apply (zenon_L771_); trivial. % 0.88/1.04 apply (zenon_L763_); trivial. % 0.88/1.04 (* end of lemma zenon_L772_ *) % 0.88/1.04 assert (zenon_L773_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (c3_1 (a291)) -> (c2_1 (a291)) -> (~(c0_1 (a291))) -> (ndr1_0) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> False). % 0.88/1.04 do 0 intro. intros zenon_Hed zenon_H44 zenon_H45 zenon_H46 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_Hb2 zenon_Had zenon_H28f zenon_H288 zenon_H286 zenon_H12 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.04 apply (zenon_L768_); trivial. % 0.88/1.04 apply (zenon_L690_); trivial. % 0.88/1.04 (* end of lemma zenon_L773_ *) % 0.88/1.04 assert (zenon_L774_ : ((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H2df zenon_Hec zenon_He9 zenon_H14f zenon_H24 zenon_H20c zenon_Hb zenon_Hf zenon_H263 zenon_H9 zenon_H2f zenon_H204 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H315 zenon_H273 zenon_Hd6 zenon_H2f6 zenon_H4f zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hb2 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H45 zenon_H44 zenon_Hed. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.04 apply (zenon_L773_); trivial. % 0.88/1.04 apply (zenon_L767_); trivial. % 0.88/1.04 (* end of lemma zenon_L774_ *) % 0.88/1.04 assert (zenon_L775_ : ((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((hskp15)\/(hskp12))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H153 zenon_H6a zenon_H31 zenon_H2de zenon_Hec zenon_He9 zenon_H14f zenon_H24 zenon_H20c zenon_Hb zenon_Hf zenon_H263 zenon_H204 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H315 zenon_H273 zenon_Hd6 zenon_H2f6 zenon_H4f zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hb2 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_Hed zenon_H19d zenon_H19e zenon_H19f zenon_H27e zenon_H7c zenon_He5 zenon_He2 zenon_H42. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.88/1.04 apply (zenon_L275_); trivial. % 0.88/1.04 apply (zenon_L774_); trivial. % 0.88/1.04 apply (zenon_L695_); trivial. % 0.88/1.04 apply (zenon_L696_); trivial. % 0.88/1.04 (* end of lemma zenon_L775_ *) % 0.88/1.04 assert (zenon_L776_ : ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> (~(hskp21)) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H14f zenon_H25d zenon_H24 zenon_H20c zenon_H31 zenon_Hb zenon_Hf zenon_H235 zenon_Hd4 zenon_H17b zenon_H17a zenon_H179 zenon_H263 zenon_H9 zenon_H2f zenon_H204 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.88/1.04 apply (zenon_L747_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H123. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H106. zenon_intro zenon_H124. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H125. zenon_intro zenon_H107. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H233 | zenon_intro zenon_H25e ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H261 | zenon_intro zenon_H274 ]. % 0.88/1.04 apply (zenon_L263_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H12. zenon_intro zenon_H275. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H266. zenon_intro zenon_H276. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H265. zenon_intro zenon_H277. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H316 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1aa | zenon_intro zenon_H236 ]. % 0.88/1.04 apply (zenon_L705_); trivial. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H234 ]. % 0.88/1.04 exact (zenon_Hd4 zenon_Hd5). % 0.88/1.04 exact (zenon_H233 zenon_H234). % 0.88/1.04 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H2ec | zenon_intro zenon_H311 ]. % 0.88/1.04 apply (zenon_L678_); trivial. % 0.88/1.04 apply (zenon_L745_); trivial. % 0.88/1.04 apply (zenon_L701_); trivial. % 0.88/1.04 (* end of lemma zenon_L776_ *) % 0.88/1.04 assert (zenon_L777_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp12)\/((hskp1)\/(hskp26))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_He9 zenon_H273 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H204 zenon_H2f zenon_H9 zenon_H263 zenon_H179 zenon_H17a zenon_H17b zenon_H235 zenon_Hf zenon_Hb zenon_H31 zenon_H20c zenon_H24 zenon_H25d zenon_H14f. % 0.88/1.04 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.04 apply (zenon_L776_); trivial. % 0.88/1.04 apply (zenon_L749_); trivial. % 0.88/1.04 (* end of lemma zenon_L777_ *) % 0.88/1.04 assert (zenon_L778_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp12)\/((hskp1)\/(hskp26))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> (~(hskp9)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H6a zenon_He9 zenon_H273 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H204 zenon_H263 zenon_H179 zenon_H17a zenon_H17b zenon_H235 zenon_Hf zenon_Hb zenon_H31 zenon_H20c zenon_H24 zenon_H25d zenon_H14f zenon_H3c zenon_H3e zenon_H42. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.04 apply (zenon_L777_); trivial. % 0.88/1.04 apply (zenon_L20_); trivial. % 0.88/1.04 apply (zenon_L31_); trivial. % 0.88/1.04 (* end of lemma zenon_L778_ *) % 0.88/1.04 assert (zenon_L779_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> (~(hskp8)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H151 zenon_Hfe zenon_Hfa zenon_Hf7 zenon_H7 zenon_H3 zenon_H208 zenon_H177 zenon_H2f8 zenon_H6f zenon_H6b zenon_H9f zenon_Hec zenon_H16f zenon_He5 zenon_He2 zenon_H7c zenon_Hd6 zenon_H16d zenon_H90 zenon_Ha1 zenon_H150 zenon_H42 zenon_H3e zenon_H14f zenon_H25d zenon_H24 zenon_H20c zenon_H31 zenon_Hb zenon_Hf zenon_H235 zenon_H17b zenon_H17a zenon_H179 zenon_H263 zenon_H204 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273 zenon_He9 zenon_H6a. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.04 apply (zenon_L778_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.04 apply (zenon_L4_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.04 apply (zenon_L197_); trivial. % 0.88/1.04 apply (zenon_L730_); trivial. % 0.88/1.04 apply (zenon_L68_); trivial. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.88/1.04 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.04 apply (zenon_L777_); trivial. % 0.88/1.04 apply (zenon_L200_); trivial. % 0.88/1.04 apply (zenon_L202_); trivial. % 0.88/1.04 (* end of lemma zenon_L779_ *) % 0.88/1.04 assert (zenon_L780_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> (~(hskp10)) -> ((hskp21)\/((hskp10)\/(hskp23))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> False). % 0.88/1.04 do 0 intro. intros zenon_Hec zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_Hd6 zenon_H1b6 zenon_H14f zenon_H1dc zenon_Hff zenon_H103 zenon_H27a zenon_H1c7 zenon_H177 zenon_H3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H206 zenon_H5 zenon_H208 zenon_H66 zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_He2 zenon_H46 zenon_H45 zenon_H44 zenon_H5f zenon_H182 zenon_He5 zenon_He9. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.04 apply (zenon_L418_); trivial. % 0.88/1.04 apply (zenon_L111_); trivial. % 0.88/1.04 (* end of lemma zenon_L780_ *) % 0.88/1.04 assert (zenon_L781_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> False). % 0.88/1.04 do 0 intro. intros zenon_H170 zenon_Hec zenon_He9 zenon_He5 zenon_He2 zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_Hd6 zenon_H46 zenon_H45 zenon_H44 zenon_H179 zenon_H17a zenon_H17b zenon_H5f zenon_H182 zenon_H177 zenon_H3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H208. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.04 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.04 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.04 apply (zenon_L197_); trivial. % 0.88/1.04 apply (zenon_L111_); trivial. % 0.88/1.04 (* end of lemma zenon_L781_ *) % 0.88/1.04 assert (zenon_L782_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H3f zenon_H16f zenon_He9 zenon_He5 zenon_H182 zenon_H5f zenon_H44 zenon_H45 zenon_H46 zenon_He2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H66 zenon_H208 zenon_H206 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H3 zenon_H177 zenon_H1c7 zenon_H27a zenon_H103 zenon_Hff zenon_H1dc zenon_H14f zenon_H1b6 zenon_Hd6 zenon_H7c zenon_Hec. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.05 apply (zenon_L780_); trivial. % 0.88/1.05 apply (zenon_L781_); trivial. % 0.88/1.05 (* end of lemma zenon_L782_ *) % 0.88/1.05 assert (zenon_L783_ : ((ndr1_0)/\((c0_1 (a274))/\((c1_1 (a274))/\(~(c3_1 (a274)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp27)\/(hskp1))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H184 zenon_H151 zenon_H150 zenon_Hed zenon_Ha1 zenon_H6b zenon_H9f zenon_H2f8 zenon_Hc5 zenon_H14b zenon_H113 zenon_Hb2 zenon_He5 zenon_H6f zenon_Hec zenon_H42 zenon_H3e zenon_H14f zenon_H25d zenon_H24 zenon_H20c zenon_H31 zenon_Hb zenon_Hf zenon_H235 zenon_H17b zenon_H17a zenon_H179 zenon_H263 zenon_H204 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273 zenon_He9 zenon_H6a. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.05 apply (zenon_L778_); trivial. % 0.88/1.05 apply (zenon_L732_); trivial. % 0.88/1.05 (* end of lemma zenon_L783_ *) % 0.88/1.05 assert (zenon_L784_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_Hec zenon_H31 zenon_H19d zenon_H19e zenon_H19f zenon_H179 zenon_H17a zenon_H17b zenon_H1b4 zenon_H263 zenon_H9 zenon_H2f zenon_H177 zenon_H3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.05 apply (zenon_L758_); trivial. % 0.88/1.05 apply (zenon_L168_); trivial. % 0.88/1.05 (* end of lemma zenon_L784_ *) % 0.88/1.05 assert (zenon_L785_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((hskp7)\/(hskp8))) -> (~(hskp1)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H151 zenon_H16f zenon_Ha1 zenon_H90 zenon_Hf7 zenon_H16d zenon_Hb zenon_H2f8 zenon_H7 zenon_Hfa zenon_Hfe zenon_H42 zenon_H3e zenon_H273 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H3 zenon_H177 zenon_H263 zenon_H1b4 zenon_H17b zenon_H17a zenon_H179 zenon_H19f zenon_H19e zenon_H19d zenon_H31 zenon_Hec zenon_H6a. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.05 apply (zenon_L784_); trivial. % 0.88/1.05 apply (zenon_L20_); trivial. % 0.88/1.05 apply (zenon_L31_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.05 apply (zenon_L784_); trivial. % 0.88/1.05 apply (zenon_L736_); trivial. % 0.88/1.05 apply (zenon_L737_); trivial. % 0.88/1.05 (* end of lemma zenon_L785_ *) % 0.88/1.05 assert (zenon_L786_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H16f zenon_H66 zenon_H1c9 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H206 zenon_H140 zenon_H15e zenon_H13f zenon_H1c7 zenon_H27a zenon_H19d zenon_H19e zenon_H19f zenon_H179 zenon_H17a zenon_H17b zenon_H1b4 zenon_H1b6. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.88/1.05 apply (zenon_L331_); trivial. % 0.88/1.05 apply (zenon_L170_); trivial. % 0.88/1.05 apply (zenon_L153_); trivial. % 0.88/1.05 (* end of lemma zenon_L786_ *) % 0.88/1.05 assert (zenon_L787_ : ((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H15b zenon_H226 zenon_H182 zenon_H5f zenon_H1b6 zenon_H1b4 zenon_H17b zenon_H17a zenon_H179 zenon_H19f zenon_H19e zenon_H19d zenon_H27a zenon_H206 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H1c9 zenon_H66 zenon_H16f. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.05 apply (zenon_L786_); trivial. % 0.88/1.05 apply (zenon_L299_); trivial. % 0.88/1.05 (* end of lemma zenon_L787_ *) % 0.88/1.05 assert (zenon_L788_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp14)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp12)\/((hskp1)\/(hskp26))) -> (~(hskp1)) -> (~(hskp12)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H170 zenon_Hec zenon_He9 zenon_H263 zenon_H204 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273 zenon_H103 zenon_Hff zenon_H31 zenon_H2f zenon_H235 zenon_Hf zenon_Hb zenon_H9 zenon_H20c zenon_H24 zenon_H25d zenon_H14f zenon_H177 zenon_H3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H208. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.05 apply (zenon_L197_); trivial. % 0.88/1.05 apply (zenon_L750_); trivial. % 0.88/1.05 (* end of lemma zenon_L788_ *) % 0.88/1.05 assert (zenon_L789_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp12)) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp10)) -> ((hskp21)\/((hskp10)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_Hfe zenon_Hfa zenon_Hf7 zenon_H46 zenon_H45 zenon_H44 zenon_H7 zenon_H3 zenon_H208 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H177 zenon_H14f zenon_H25d zenon_H24 zenon_H20c zenon_H9 zenon_Hb zenon_Hf zenon_H235 zenon_H2f zenon_H31 zenon_Hff zenon_H103 zenon_H273 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H204 zenon_H263 zenon_He9 zenon_Hec zenon_H16f. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.05 apply (zenon_L4_); trivial. % 0.88/1.05 apply (zenon_L788_); trivial. % 0.88/1.05 apply (zenon_L68_); trivial. % 0.88/1.05 (* end of lemma zenon_L789_ *) % 0.88/1.05 assert (zenon_L790_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> (~(hskp8)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H3f zenon_Hfe zenon_Hfa zenon_Hf7 zenon_H7 zenon_H3 zenon_H208 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H177 zenon_H2f6 zenon_H4f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H44 zenon_H45 zenon_H46 zenon_Hd6 zenon_H7c zenon_He2 zenon_He5 zenon_He9 zenon_Hec zenon_H16f. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.05 apply (zenon_L4_); trivial. % 0.88/1.05 apply (zenon_L760_); trivial. % 0.88/1.05 apply (zenon_L68_); trivial. % 0.88/1.05 (* end of lemma zenon_L790_ *) % 0.88/1.05 assert (zenon_L791_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H1d4 zenon_H140 zenon_H15e zenon_H13f zenon_H90 zenon_H161 zenon_H160 zenon_H15f zenon_H9b zenon_H1f5 zenon_H1f6 zenon_H12 zenon_H1. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.88/1.05 apply (zenon_L137_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.88/1.05 apply (zenon_L99_); trivial. % 0.88/1.05 apply (zenon_L352_); trivial. % 0.88/1.05 (* end of lemma zenon_L791_ *) % 0.88/1.05 assert (zenon_L792_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp16)) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c0_1 (a281))) -> (~(c2_1 (a281))) -> (c3_1 (a281)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp8)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H170 zenon_Hfa zenon_H46 zenon_H45 zenon_H44 zenon_H1 zenon_H1f6 zenon_H1f5 zenon_H90 zenon_H13f zenon_H15e zenon_H140 zenon_H1d4 zenon_Hf7. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H43 | zenon_intro zenon_Hfd ]. % 0.88/1.05 apply (zenon_L22_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9b | zenon_intro zenon_Hf8 ]. % 0.88/1.05 apply (zenon_L791_); trivial. % 0.88/1.05 exact (zenon_Hf7 zenon_Hf8). % 0.88/1.05 (* end of lemma zenon_L792_ *) % 0.88/1.05 assert (zenon_L793_ : ((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp8)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H15b zenon_Hfe zenon_H7 zenon_H3 zenon_H44 zenon_H45 zenon_H46 zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H90 zenon_Hf7 zenon_Hfa zenon_H16f. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.05 apply (zenon_L4_); trivial. % 0.88/1.05 apply (zenon_L792_); trivial. % 0.88/1.05 apply (zenon_L68_); trivial. % 0.88/1.05 (* end of lemma zenon_L793_ *) % 0.88/1.05 assert (zenon_L794_ : ((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp12)\/((hskp1)\/(hskp26))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp8)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(hskp8))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H153 zenon_H14e zenon_H1d4 zenon_H90 zenon_H42 zenon_H2f6 zenon_H4f zenon_Hd6 zenon_H7c zenon_He2 zenon_He5 zenon_H16f zenon_Hec zenon_He9 zenon_H263 zenon_H204 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273 zenon_H103 zenon_H31 zenon_H235 zenon_Hf zenon_Hb zenon_H20c zenon_H24 zenon_H25d zenon_H14f zenon_H177 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H208 zenon_H3 zenon_H7 zenon_Hf7 zenon_Hfa zenon_Hfe zenon_H6a. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.05 apply (zenon_L789_); trivial. % 0.88/1.05 apply (zenon_L790_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.05 apply (zenon_L16_); trivial. % 0.88/1.05 apply (zenon_L790_); trivial. % 0.88/1.05 apply (zenon_L793_); trivial. % 0.88/1.05 (* end of lemma zenon_L794_ *) % 0.88/1.05 assert (zenon_L795_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c3_1 (a271))) -> (~(c1_1 (a271))) -> (~(c0_1 (a271))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H273 zenon_H122 zenon_H11f zenon_H1cb zenon_H1cc zenon_H1cd zenon_H31 zenon_H19f zenon_H19e zenon_H19d zenon_Ha1 zenon_H189 zenon_H188 zenon_H187 zenon_H2f zenon_H9 zenon_H263. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H261 | zenon_intro zenon_H274 ]. % 0.88/1.05 apply (zenon_L263_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H12. zenon_intro zenon_H275. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H266. zenon_intro zenon_H276. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H265. zenon_intro zenon_H277. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H10f | zenon_intro zenon_H126 ]. % 0.88/1.05 apply (zenon_L121_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H115 | zenon_intro zenon_H120 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.05 apply (zenon_L142_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.05 apply (zenon_L292_); trivial. % 0.88/1.05 apply (zenon_L612_); trivial. % 0.88/1.05 exact (zenon_H11f zenon_H120). % 0.88/1.05 (* end of lemma zenon_L795_ *) % 0.88/1.05 assert (zenon_L796_ : ((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c3_1 (a271))) -> (~(c1_1 (a271))) -> (~(c0_1 (a271))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp9)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H222 zenon_H6a zenon_H273 zenon_H122 zenon_H11f zenon_H31 zenon_H19f zenon_H19e zenon_H19d zenon_Ha1 zenon_H189 zenon_H188 zenon_H187 zenon_H263 zenon_H3c zenon_H3e zenon_H42. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.05 apply (zenon_L795_); trivial. % 0.88/1.05 apply (zenon_L20_); trivial. % 0.88/1.05 apply (zenon_L31_); trivial. % 0.88/1.05 (* end of lemma zenon_L796_ *) % 0.88/1.05 assert (zenon_L797_ : ((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(hskp2)) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c3_1 (a271))) -> (~(c1_1 (a271))) -> (~(c0_1 (a271))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H15b zenon_H226 zenon_H122 zenon_H11f zenon_H19f zenon_H19e zenon_H19d zenon_Ha1 zenon_H189 zenon_H188 zenon_H187 zenon_H42 zenon_H3e zenon_H3c zenon_H263 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H1c9 zenon_H273 zenon_H31 zenon_H6a. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.05 apply (zenon_L754_); trivial. % 0.88/1.05 apply (zenon_L796_); trivial. % 0.88/1.05 (* end of lemma zenon_L797_ *) % 0.88/1.05 assert (zenon_L798_ : ((~(hskp10))\/((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c3_1 (a271))) -> (~(c1_1 (a271))) -> (~(c0_1 (a271))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((hskp15)\/(hskp12))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (ndr1_0) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp26))\/((ndr1_0)/\((~(c0_1 (a356)))/\((~(c1_1 (a356)))/\(~(c2_1 (a356))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (~(hskp1)) -> ((hskp12)\/((hskp1)\/(hskp26))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H14e zenon_H226 zenon_H122 zenon_H11f zenon_Ha1 zenon_H189 zenon_H188 zenon_H187 zenon_H1c9 zenon_H42 zenon_H27e zenon_H19f zenon_H19e zenon_H19d zenon_H12 zenon_Hed zenon_H3e zenon_H3c zenon_H31 zenon_Hb2 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6 zenon_H14f zenon_H25d zenon_H24 zenon_H20c zenon_Hb zenon_Hf zenon_H235 zenon_H103 zenon_H273 zenon_H315 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H204 zenon_H263 zenon_He9 zenon_Hec zenon_H2de zenon_H6a. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.05 apply (zenon_L771_); trivial. % 0.88/1.05 apply (zenon_L797_); trivial. % 0.88/1.05 (* end of lemma zenon_L798_ *) % 0.88/1.05 assert (zenon_L799_ : ((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H274 zenon_H315 zenon_H213 zenon_H212 zenon_H211 zenon_H2ef zenon_H2ee zenon_H2ed. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H12. zenon_intro zenon_H275. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H266. zenon_intro zenon_H276. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H265. zenon_intro zenon_H277. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H316 ]. % 0.88/1.05 apply (zenon_L205_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H2ec | zenon_intro zenon_H311 ]. % 0.88/1.05 apply (zenon_L678_); trivial. % 0.88/1.05 apply (zenon_L745_); trivial. % 0.88/1.05 (* end of lemma zenon_L799_ *) % 0.88/1.05 assert (zenon_L800_ : ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H273 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H213 zenon_H212 zenon_H211 zenon_H2f zenon_H9 zenon_H263. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H261 | zenon_intro zenon_H274 ]. % 0.88/1.05 apply (zenon_L263_); trivial. % 0.88/1.05 apply (zenon_L799_); trivial. % 0.88/1.05 (* end of lemma zenon_L800_ *) % 0.88/1.05 assert (zenon_L801_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H42 zenon_H3e zenon_H3c zenon_H263 zenon_H9 zenon_H211 zenon_H212 zenon_H213 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.05 apply (zenon_L800_); trivial. % 0.88/1.05 apply (zenon_L20_); trivial. % 0.88/1.05 (* end of lemma zenon_L801_ *) % 0.88/1.05 assert (zenon_L802_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp9)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H6a zenon_H31 zenon_H273 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H213 zenon_H212 zenon_H211 zenon_H263 zenon_H3c zenon_H3e zenon_H42. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.05 apply (zenon_L801_); trivial. % 0.88/1.05 apply (zenon_L31_); trivial. % 0.88/1.05 (* end of lemma zenon_L802_ *) % 0.88/1.05 assert (zenon_L803_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (ndr1_0) -> (~(c2_1 (a287))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(c0_1 (a287))) -> (c1_1 (a287)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H315 zenon_H213 zenon_H212 zenon_H211 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H12 zenon_H34 zenon_H7e zenon_H33 zenon_H35. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H316 ]. % 0.88/1.05 apply (zenon_L205_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H2ec | zenon_intro zenon_H311 ]. % 0.88/1.05 apply (zenon_L678_); trivial. % 0.88/1.05 apply (zenon_L733_); trivial. % 0.88/1.05 (* end of lemma zenon_L803_ *) % 0.88/1.05 assert (zenon_L804_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp1)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H3f zenon_Hfe zenon_Ha1 zenon_H315 zenon_H44 zenon_H45 zenon_H46 zenon_H2ed zenon_H2ee zenon_H2ef zenon_Hb zenon_H2f8 zenon_H7 zenon_H3 zenon_H211 zenon_H212 zenon_H213 zenon_H208 zenon_H16f. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.05 apply (zenon_L229_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.05 apply (zenon_L681_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.05 apply (zenon_L803_); trivial. % 0.88/1.05 apply (zenon_L66_); trivial. % 0.88/1.05 (* end of lemma zenon_L804_ *) % 0.88/1.05 assert (zenon_L805_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(hskp1)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H42 zenon_Hfe zenon_Ha1 zenon_H44 zenon_H45 zenon_H46 zenon_Hb zenon_H2f8 zenon_H7 zenon_H3 zenon_H208 zenon_H16f zenon_H263 zenon_H9 zenon_H211 zenon_H212 zenon_H213 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.05 apply (zenon_L800_); trivial. % 0.88/1.05 apply (zenon_L804_); trivial. % 0.88/1.05 (* end of lemma zenon_L805_ *) % 0.88/1.05 assert (zenon_L806_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H151 zenon_H16f zenon_H208 zenon_H3 zenon_H7 zenon_H2f8 zenon_Hb zenon_Ha1 zenon_Hfe zenon_H42 zenon_H3e zenon_H263 zenon_H211 zenon_H212 zenon_H213 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273 zenon_H31 zenon_H6a. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.05 apply (zenon_L802_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.05 apply (zenon_L805_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.05 apply (zenon_L16_); trivial. % 0.88/1.05 apply (zenon_L804_); trivial. % 0.88/1.05 (* end of lemma zenon_L806_ *) % 0.88/1.05 assert (zenon_L807_ : ((ndr1_0)/\((c0_1 (a274))/\((c1_1 (a274))/\(~(c3_1 (a274)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H184 zenon_H151 zenon_Hed zenon_Hc5 zenon_H2f6 zenon_H4f zenon_H7c zenon_Hb2 zenon_He5 zenon_Hd6 zenon_He2 zenon_He9 zenon_Hec zenon_H42 zenon_H3e zenon_H263 zenon_H211 zenon_H212 zenon_H213 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273 zenon_H31 zenon_H6a. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.05 apply (zenon_L802_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.05 apply (zenon_L800_); trivial. % 0.88/1.05 apply (zenon_L695_); trivial. % 0.88/1.05 apply (zenon_L696_); trivial. % 0.88/1.05 (* end of lemma zenon_L807_ *) % 0.88/1.05 assert (zenon_L808_ : (forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> (~(c3_1 (a274))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H311 zenon_H12 zenon_H53 zenon_H92 zenon_H93 zenon_Hc1. % 0.88/1.05 generalize (zenon_H311 (a274)). zenon_intro zenon_H312. % 0.88/1.05 apply (zenon_imply_s _ _ zenon_H312); [ zenon_intro zenon_H11 | zenon_intro zenon_H313 ]. % 0.88/1.05 exact (zenon_H11 zenon_H12). % 0.88/1.05 apply (zenon_or_s _ _ zenon_H313); [ zenon_intro zenon_H94 | zenon_intro zenon_H314 ]. % 0.88/1.05 apply (zenon_L42_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_Hc4 | zenon_intro zenon_H9a ]. % 0.88/1.05 exact (zenon_Hc1 zenon_Hc4). % 0.88/1.05 exact (zenon_H9a zenon_H93). % 0.88/1.05 (* end of lemma zenon_L808_ *) % 0.88/1.05 assert (zenon_L809_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> (~(c3_1 (a274))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H315 zenon_H213 zenon_H212 zenon_H211 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H12 zenon_H53 zenon_H92 zenon_H93 zenon_Hc1. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H316 ]. % 0.88/1.05 apply (zenon_L205_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H2ec | zenon_intro zenon_H311 ]. % 0.88/1.05 apply (zenon_L678_); trivial. % 0.88/1.05 apply (zenon_L808_); trivial. % 0.88/1.05 (* end of lemma zenon_L809_ *) % 0.88/1.05 assert (zenon_L810_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp16)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (c1_1 (a287)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c3_1 (a274))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (ndr1_0) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp6)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H9f zenon_H1 zenon_H44 zenon_H46 zenon_H34 zenon_H33 zenon_H35 zenon_H90 zenon_Hc1 zenon_H93 zenon_H92 zenon_H12 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H211 zenon_H212 zenon_H213 zenon_H315 zenon_H6b. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.88/1.05 apply (zenon_L803_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.88/1.05 apply (zenon_L40_); trivial. % 0.88/1.05 exact (zenon_H1 zenon_H2). % 0.88/1.05 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.88/1.05 apply (zenon_L809_); trivial. % 0.88/1.05 exact (zenon_H6b zenon_H6c). % 0.88/1.05 (* end of lemma zenon_L810_ *) % 0.88/1.05 assert (zenon_L811_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c3_1 (a274))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp6)) -> False). % 0.88/1.05 do 0 intro. intros zenon_Hc7 zenon_H9f zenon_H44 zenon_H46 zenon_Hc5 zenon_Hc1 zenon_H93 zenon_H92 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H211 zenon_H212 zenon_H213 zenon_H315 zenon_H6b. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.88/1.05 apply (zenon_L52_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.88/1.05 apply (zenon_L809_); trivial. % 0.88/1.05 exact (zenon_H6b zenon_H6c). % 0.88/1.05 (* end of lemma zenon_L811_ *) % 0.88/1.05 assert (zenon_L812_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_Hed zenon_H9f zenon_H6b zenon_H211 zenon_H212 zenon_H213 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H44 zenon_H46 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H113 zenon_Had zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hb2 zenon_He5. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.05 apply (zenon_L115_); trivial. % 0.88/1.05 apply (zenon_L811_); trivial. % 0.88/1.05 (* end of lemma zenon_L812_ *) % 0.88/1.05 assert (zenon_L813_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp27)) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (ndr1_0) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> False). % 0.88/1.05 do 0 intro. intros zenon_Ha1 zenon_H7a zenon_H45 zenon_H46 zenon_H44 zenon_H7c zenon_H35 zenon_H33 zenon_H34 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H211 zenon_H212 zenon_H213 zenon_H315 zenon_H12 zenon_Hee zenon_Hef zenon_Hf0. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.05 apply (zenon_L38_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.05 apply (zenon_L803_); trivial. % 0.88/1.05 apply (zenon_L66_); trivial. % 0.88/1.05 (* end of lemma zenon_L813_ *) % 0.88/1.05 assert (zenon_L814_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_He4 zenon_He5 zenon_He2 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H35 zenon_H34 zenon_H33 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H213 zenon_H212 zenon_H211 zenon_Hee zenon_Hef zenon_Hf0 zenon_Ha1. % 0.88/1.05 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.88/1.05 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.88/1.05 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.88/1.05 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.05 apply (zenon_L813_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.05 apply (zenon_L61_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.05 apply (zenon_L803_); trivial. % 0.88/1.05 apply (zenon_L66_); trivial. % 0.88/1.05 (* end of lemma zenon_L814_ *) % 0.88/1.05 assert (zenon_L815_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c1_1 (a287)) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_He8 zenon_He9 zenon_He5 zenon_He2 zenon_H7c zenon_Hd6 zenon_H46 zenon_H45 zenon_H44 zenon_H315 zenon_H35 zenon_H33 zenon_H34 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H213 zenon_H212 zenon_H211 zenon_Hee zenon_Hef zenon_Hf0 zenon_Ha1. % 0.88/1.05 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.88/1.05 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.05 apply (zenon_L58_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.05 apply (zenon_L803_); trivial. % 0.88/1.05 apply (zenon_L66_); trivial. % 0.88/1.05 apply (zenon_L814_); trivial. % 0.88/1.05 (* end of lemma zenon_L815_ *) % 0.88/1.05 assert (zenon_L816_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c2_1 (a280)) -> (c1_1 (a287)) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_Hf9 zenon_Hec zenon_He9 zenon_He2 zenon_H7c zenon_Hd6 zenon_H45 zenon_H35 zenon_H33 zenon_H34 zenon_Ha1 zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H44 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H213 zenon_H212 zenon_H211 zenon_H6b zenon_H9f zenon_Hed. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.05 apply (zenon_L812_); trivial. % 0.88/1.05 apply (zenon_L815_); trivial. % 0.88/1.05 (* end of lemma zenon_L816_ *) % 0.88/1.05 assert (zenon_L817_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c2_1 (a280)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c3_1 (a274))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H3f zenon_Hfe zenon_Hec zenon_He9 zenon_He2 zenon_H7c zenon_Hd6 zenon_H45 zenon_Ha1 zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_Hed zenon_H90 zenon_H46 zenon_H44 zenon_H211 zenon_H212 zenon_H213 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_Hc1 zenon_H93 zenon_H92 zenon_H6b zenon_H9f. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.05 apply (zenon_L810_); trivial. % 0.88/1.05 apply (zenon_L816_); trivial. % 0.88/1.05 (* end of lemma zenon_L817_ *) % 0.88/1.05 assert (zenon_L818_ : ((ndr1_0)/\((c0_1 (a274))/\((c1_1 (a274))/\(~(c3_1 (a274)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H184 zenon_H151 zenon_H9f zenon_H6b zenon_H90 zenon_Hed zenon_Hc5 zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_Hb2 zenon_He5 zenon_Ha1 zenon_Hd6 zenon_H7c zenon_He2 zenon_He9 zenon_Hec zenon_Hfe zenon_H42 zenon_H3e zenon_H263 zenon_H211 zenon_H212 zenon_H213 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273 zenon_H31 zenon_H6a. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.05 apply (zenon_L802_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.05 apply (zenon_L800_); trivial. % 0.88/1.05 apply (zenon_L817_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.05 apply (zenon_L16_); trivial. % 0.88/1.05 apply (zenon_L817_); trivial. % 0.88/1.05 (* end of lemma zenon_L818_ *) % 0.88/1.05 assert (zenon_L819_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (c1_1 (a287)) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_Hf9 zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H35 zenon_H33 zenon_H34 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H211 zenon_H212 zenon_H213 zenon_H315. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.05 apply (zenon_L142_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.05 apply (zenon_L803_); trivial. % 0.88/1.05 apply (zenon_L66_); trivial. % 0.88/1.05 (* end of lemma zenon_L819_ *) % 0.88/1.05 assert (zenon_L820_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H3f zenon_Hfe zenon_Ha1 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H7 zenon_H3 zenon_H211 zenon_H212 zenon_H213 zenon_H208 zenon_H16f. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.05 apply (zenon_L229_); trivial. % 0.88/1.05 apply (zenon_L819_); trivial. % 0.88/1.05 (* end of lemma zenon_L820_ *) % 0.88/1.05 assert (zenon_L821_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H42 zenon_Hfe zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H7 zenon_H3 zenon_H208 zenon_H16f zenon_H263 zenon_H9 zenon_H211 zenon_H212 zenon_H213 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.05 apply (zenon_L800_); trivial. % 0.88/1.05 apply (zenon_L820_); trivial. % 0.88/1.05 (* end of lemma zenon_L821_ *) % 0.88/1.05 assert (zenon_L822_ : ((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H222 zenon_H6a zenon_H31 zenon_H273 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H213 zenon_H212 zenon_H211 zenon_H263 zenon_H16f zenon_H208 zenon_H3 zenon_H7 zenon_Ha1 zenon_Hfe zenon_H42. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.05 apply (zenon_L821_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.05 apply (zenon_L16_); trivial. % 0.88/1.05 apply (zenon_L820_); trivial. % 0.88/1.05 (* end of lemma zenon_L822_ *) % 0.88/1.05 assert (zenon_L823_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (ndr1_0) -> (forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H315 zenon_H213 zenon_H212 zenon_H211 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H12 zenon_H1aa zenon_Hc1 zenon_H92 zenon_H93. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H315); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H316 ]. % 0.88/1.05 apply (zenon_L205_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H316); [ zenon_intro zenon_H2ec | zenon_intro zenon_H311 ]. % 0.88/1.05 apply (zenon_L678_); trivial. % 0.88/1.05 apply (zenon_L707_); trivial. % 0.88/1.05 (* end of lemma zenon_L823_ *) % 0.88/1.05 assert (zenon_L824_ : ((ndr1_0)/\((c1_1 (a273))/\((c2_1 (a273))/\(~(c0_1 (a273)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a274))/\((c1_1 (a274))/\(~(c3_1 (a274))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H1f0 zenon_H225 zenon_H16f zenon_H208 zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H27a zenon_H179 zenon_H17a zenon_H17b zenon_H1b4 zenon_H1b6 zenon_H42 zenon_Hfe zenon_Ha1 zenon_H7 zenon_H263 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273 zenon_H31 zenon_H6a zenon_H226. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.05 apply (zenon_L573_); trivial. % 0.88/1.05 apply (zenon_L822_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b5 ]. % 0.88/1.05 apply (zenon_L130_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H105 | zenon_intro zenon_H1aa ]. % 0.88/1.05 apply (zenon_L106_); trivial. % 0.88/1.05 apply (zenon_L823_); trivial. % 0.88/1.05 (* end of lemma zenon_L824_ *) % 0.88/1.05 assert (zenon_L825_ : ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7)))))) -> (~(c2_1 (a298))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c2_1 (a311)) -> (c0_1 (a311)) -> (~(c3_1 (a311))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp19)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H161 zenon_H160 zenon_H7e zenon_H15f zenon_H113 zenon_H1ad zenon_H1ac zenon_H1ab zenon_H12 zenon_H7a zenon_Had. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H24d | zenon_intro zenon_H272 ]. % 0.88/1.05 apply (zenon_L256_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H9b | zenon_intro zenon_Hca ]. % 0.88/1.05 apply (zenon_L99_); trivial. % 0.88/1.05 apply (zenon_L342_); trivial. % 0.88/1.05 (* end of lemma zenon_L825_ *) % 0.88/1.05 assert (zenon_L826_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp19)) -> (~(hskp27)) -> (~(c3_1 (a311))) -> (c0_1 (a311)) -> (c2_1 (a311)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a280))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H90 zenon_Had zenon_H7a zenon_H1ab zenon_H1ac zenon_H1ad zenon_H113 zenon_H15f zenon_H160 zenon_H161 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H46 zenon_H45 zenon_H71 zenon_H44 zenon_H12 zenon_H1. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.88/1.05 apply (zenon_L825_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.88/1.05 apply (zenon_L55_); trivial. % 0.88/1.05 exact (zenon_H1 zenon_H2). % 0.88/1.05 (* end of lemma zenon_L826_ *) % 0.88/1.05 assert (zenon_L827_ : ((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a303))) -> (c1_1 (a303)) -> (c2_1 (a303)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H274 zenon_He5 zenon_Hd9 zenon_Hda zenon_Hdb zenon_He2 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H237 zenon_H238 zenon_H239 zenon_Hcb zenon_Hcc zenon_Hcd zenon_H271 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H12. zenon_intro zenon_H275. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H266. zenon_intro zenon_H276. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H265. zenon_intro zenon_H277. % 0.88/1.05 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H71 | zenon_intro zenon_H2f7 ]. % 0.88/1.05 apply (zenon_L304_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2ec | zenon_intro zenon_H50 ]. % 0.88/1.05 apply (zenon_L678_); trivial. % 0.88/1.05 exact (zenon_H4f zenon_H50). % 0.88/1.05 apply (zenon_L692_); trivial. % 0.88/1.05 (* end of lemma zenon_L827_ *) % 0.88/1.05 assert (zenon_L828_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> False). % 0.88/1.05 do 0 intro. intros zenon_He8 zenon_He9 zenon_H273 zenon_He5 zenon_He2 zenon_H7c zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H2f zenon_H9 zenon_H263 zenon_Hd6 zenon_H46 zenon_H45 zenon_H44 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6. % 0.88/1.05 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.88/1.05 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.05 apply (zenon_L691_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.88/1.05 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.88/1.05 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H261 | zenon_intro zenon_H274 ]. % 0.88/1.05 apply (zenon_L263_); trivial. % 0.88/1.05 apply (zenon_L827_); trivial. % 0.88/1.05 (* end of lemma zenon_L828_ *) % 0.88/1.05 assert (zenon_L829_ : ((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a295)) -> (~(c1_1 (a295))) -> (~(c0_1 (a295))) -> (~(hskp3)) -> False). % 0.88/1.05 do 0 intro. intros zenon_Hb1 zenon_H1ba zenon_H44 zenon_H45 zenon_H46 zenon_Hd9 zenon_Hda zenon_Hdb zenon_He2 zenon_H2a9 zenon_H2a8 zenon_H2a7 zenon_H5d. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H71 | zenon_intro zenon_H1bb ]. % 0.88/1.05 apply (zenon_L61_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H89 | zenon_intro zenon_H5e ]. % 0.88/1.05 apply (zenon_L287_); trivial. % 0.88/1.05 exact (zenon_H5d zenon_H5e). % 0.88/1.05 (* end of lemma zenon_L829_ *) % 0.88/1.05 assert (zenon_L830_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp3)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_He4 zenon_H1b6 zenon_He5 zenon_H2f6 zenon_H4f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H44 zenon_H45 zenon_H46 zenon_He2 zenon_H237 zenon_H238 zenon_H239 zenon_Hee zenon_Hef zenon_Hf0 zenon_H113 zenon_Had zenon_H271 zenon_H27a zenon_H1c7 zenon_H5d zenon_H5f zenon_H62 zenon_H66. % 0.88/1.05 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.88/1.05 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.88/1.05 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.88/1.05 apply (zenon_L269_); trivial. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.88/1.05 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.05 apply (zenon_L343_); trivial. % 0.88/1.05 apply (zenon_L692_); trivial. % 0.88/1.05 (* end of lemma zenon_L830_ *) % 0.88/1.05 assert (zenon_L831_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp10)) -> ((hskp21)\/((hskp10)\/(hskp23))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp3)\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_Hf9 zenon_Hec zenon_H273 zenon_H7c zenon_H2f zenon_H9 zenon_H263 zenon_Hd6 zenon_H1b6 zenon_H14f zenon_H1dc zenon_H3 zenon_Hff zenon_H103 zenon_H27a zenon_H1c7 zenon_H5d zenon_H5f zenon_H62 zenon_H66 zenon_H271 zenon_H113 zenon_H239 zenon_H238 zenon_H237 zenon_He2 zenon_H46 zenon_H45 zenon_H44 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6 zenon_He5 zenon_He9. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.05 apply (zenon_L301_); trivial. % 0.88/1.05 apply (zenon_L830_); trivial. % 0.88/1.05 apply (zenon_L828_); trivial. % 0.88/1.05 (* end of lemma zenon_L831_ *) % 0.88/1.05 assert (zenon_L832_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H3f zenon_He9 zenon_He5 zenon_He2 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6 zenon_H66 zenon_H62 zenon_H5f zenon_H5d zenon_H1c7 zenon_H27a zenon_H103 zenon_Hff zenon_H3 zenon_H1dc zenon_H14f zenon_H1b6. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.05 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.05 apply (zenon_L301_); trivial. % 0.88/1.05 apply (zenon_L693_); trivial. % 0.88/1.05 (* end of lemma zenon_L832_ *) % 0.88/1.05 assert (zenon_L833_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp11)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c2_1 (a284)) -> (~(c0_1 (a284))) -> (~(c3_1 (a284))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (~(hskp5)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H170 zenon_H2f6 zenon_H1c7 zenon_H90 zenon_H28 zenon_H26 zenon_H27 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H1 zenon_H1c9 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H4f. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H71 | zenon_intro zenon_H2f7 ]. % 0.88/1.05 apply (zenon_L534_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2ec | zenon_intro zenon_H50 ]. % 0.88/1.05 apply (zenon_L678_); trivial. % 0.88/1.05 exact (zenon_H4f zenon_H50). % 0.88/1.05 (* end of lemma zenon_L833_ *) % 0.88/1.05 assert (zenon_L834_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp16)) -> (~(hskp7)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H16f zenon_H2f6 zenon_H4f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H90 zenon_H237 zenon_H238 zenon_H239 zenon_H27 zenon_H26 zenon_H28 zenon_H271 zenon_H1c7 zenon_H1c9 zenon_H1 zenon_H3 zenon_H7. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.05 apply (zenon_L4_); trivial. % 0.88/1.05 apply (zenon_L833_); trivial. % 0.88/1.05 (* end of lemma zenon_L834_ *) % 0.88/1.05 assert (zenon_L835_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (c2_1 (a284)) -> (~(c0_1 (a284))) -> (~(c3_1 (a284))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (~(hskp5)) -> False). % 0.88/1.05 do 0 intro. intros zenon_Hf9 zenon_H2f6 zenon_H28 zenon_H26 zenon_H27 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H4f. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H71 | zenon_intro zenon_H2f7 ]. % 0.88/1.05 apply (zenon_L311_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2ec | zenon_intro zenon_H50 ]. % 0.88/1.05 apply (zenon_L678_); trivial. % 0.88/1.05 exact (zenon_H4f zenon_H50). % 0.88/1.05 (* end of lemma zenon_L835_ *) % 0.88/1.05 assert (zenon_L836_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(hskp19)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp20)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_He9 zenon_H20a zenon_H66 zenon_H62 zenon_H5f zenon_H5d zenon_H1c7 zenon_H27a zenon_H235 zenon_H25b zenon_Hd6 zenon_H239 zenon_H238 zenon_H237 zenon_Had zenon_H113 zenon_Haf zenon_Hb2 zenon_He5 zenon_H25d zenon_H1b6. % 0.88/1.05 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.88/1.05 apply (zenon_L269_); trivial. % 0.88/1.05 apply (zenon_L259_); trivial. % 0.88/1.05 apply (zenon_L261_); trivial. % 0.88/1.05 (* end of lemma zenon_L836_ *) % 0.88/1.05 assert (zenon_L837_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (c2_1 (a280)) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(hskp3)) -> False). % 0.88/1.05 do 0 intro. intros zenon_Hc7 zenon_H1ba zenon_H45 zenon_H93 zenon_H92 zenon_Hc1 zenon_H44 zenon_H46 zenon_Hc5 zenon_H5d. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.88/1.05 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H71 | zenon_intro zenon_H1bb ]. % 0.88/1.05 apply (zenon_L94_); trivial. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H89 | zenon_intro zenon_H5e ]. % 0.88/1.05 apply (zenon_L52_); trivial. % 0.88/1.05 exact (zenon_H5d zenon_H5e). % 0.88/1.05 (* end of lemma zenon_L837_ *) % 0.88/1.05 assert (zenon_L838_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H3f zenon_Hec zenon_He9 zenon_He2 zenon_Hd6 zenon_He5 zenon_Hb2 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H5d zenon_H1ba zenon_Hed. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.05 apply (zenon_L689_); trivial. % 0.88/1.05 apply (zenon_L837_); trivial. % 0.88/1.05 apply (zenon_L694_); trivial. % 0.88/1.05 (* end of lemma zenon_L838_ *) % 0.88/1.05 assert (zenon_L839_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> False). % 0.88/1.05 do 0 intro. intros zenon_H67 zenon_H42 zenon_Hec zenon_He9 zenon_He2 zenon_Hd6 zenon_He5 zenon_Hb2 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H5d zenon_H1ba zenon_Hed zenon_H31. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.05 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.05 apply (zenon_L16_); trivial. % 0.88/1.05 apply (zenon_L838_); trivial. % 0.88/1.05 (* end of lemma zenon_L839_ *) % 0.88/1.05 assert (zenon_L840_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (c3_1 (a291)) -> (c2_1 (a291)) -> (~(c0_1 (a291))) -> (ndr1_0) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> False). % 0.88/1.05 do 0 intro. intros zenon_Hed zenon_H1ba zenon_H5d zenon_H44 zenon_H45 zenon_H46 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_Hb2 zenon_Had zenon_H28f zenon_H288 zenon_H286 zenon_H12 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.05 apply (zenon_L768_); trivial. % 0.88/1.05 apply (zenon_L837_); trivial. % 0.88/1.05 (* end of lemma zenon_L840_ *) % 0.88/1.05 assert (zenon_L841_ : ((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.05 do 0 intro. intros zenon_H2df zenon_Hec zenon_He9 zenon_H273 zenon_He5 zenon_He2 zenon_H7c zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H2f zenon_H9 zenon_H263 zenon_Hd6 zenon_H2f6 zenon_H4f zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hb2 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H45 zenon_H44 zenon_H5d zenon_H1ba zenon_Hed. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.88/1.05 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.88/1.05 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.05 apply (zenon_L840_); trivial. % 0.88/1.05 apply (zenon_L828_); trivial. % 0.88/1.05 (* end of lemma zenon_L841_ *) % 0.88/1.05 assert (zenon_L842_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp14)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> (ndr1_0) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((hskp15)\/(hskp12))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H2de zenon_Hec zenon_He9 zenon_H273 zenon_He5 zenon_He2 zenon_H7c zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H2f zenon_H263 zenon_Hd6 zenon_H2f6 zenon_H4f zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hb2 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H45 zenon_H44 zenon_H5d zenon_H1ba zenon_Hed zenon_H12 zenon_H19d zenon_H19e zenon_H19f zenon_H9 zenon_H27e. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.88/1.06 apply (zenon_L275_); trivial. % 0.88/1.06 apply (zenon_L841_); trivial. % 0.88/1.06 (* end of lemma zenon_L842_ *) % 0.88/1.06 assert (zenon_L843_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp12)) -> (~(hskp14)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp7)) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hf9 zenon_Hec zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H263 zenon_H9 zenon_H2f zenon_H177 zenon_H3 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.06 apply (zenon_L758_); trivial. % 0.88/1.06 apply (zenon_L334_); trivial. % 0.88/1.06 (* end of lemma zenon_L843_ *) % 0.88/1.06 assert (zenon_L844_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp12)) -> (~(hskp14)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hfe zenon_H263 zenon_H9 zenon_H2f zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273 zenon_H7 zenon_H3 zenon_H208 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H177 zenon_H90 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H1d4 zenon_Hec zenon_H16f. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.06 apply (zenon_L355_); trivial. % 0.88/1.06 apply (zenon_L843_); trivial. % 0.88/1.06 (* end of lemma zenon_L844_ *) % 0.88/1.06 assert (zenon_L845_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (~(hskp12)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H42 zenon_H3e zenon_H3c zenon_H16f zenon_Hec zenon_H1d4 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H90 zenon_H177 zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H208 zenon_H3 zenon_H7 zenon_H273 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H9 zenon_H263 zenon_Hfe. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.06 apply (zenon_L844_); trivial. % 0.88/1.06 apply (zenon_L20_); trivial. % 0.88/1.06 (* end of lemma zenon_L845_ *) % 0.88/1.06 assert (zenon_L846_ : ((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H156 zenon_Hfe zenon_Ha1 zenon_H27 zenon_H26 zenon_H28 zenon_H271 zenon_H90 zenon_H239 zenon_H238 zenon_H237 zenon_H1f5 zenon_H1f6 zenon_H1d4. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.06 apply (zenon_L385_); trivial. % 0.88/1.06 apply (zenon_L312_); trivial. % 0.88/1.06 (* end of lemma zenon_L846_ *) % 0.88/1.06 assert (zenon_L847_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H67 zenon_H150 zenon_Hfe zenon_Ha1 zenon_H271 zenon_H90 zenon_H239 zenon_H238 zenon_H237 zenon_H1f5 zenon_H1f6 zenon_H1d4 zenon_H6b zenon_H6f. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.88/1.06 apply (zenon_L35_); trivial. % 0.88/1.06 apply (zenon_L846_); trivial. % 0.88/1.06 (* end of lemma zenon_L847_ *) % 0.88/1.06 assert (zenon_L848_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a286))/\((c3_1 (a286))/\(~(c0_1 (a286))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/((hskp6)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> (~(hskp9)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H6a zenon_H150 zenon_Ha1 zenon_H6b zenon_H6f zenon_Hfe zenon_H263 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273 zenon_H7 zenon_H3 zenon_H208 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H177 zenon_H90 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H1d4 zenon_Hec zenon_H16f zenon_H3c zenon_H3e zenon_H42. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.06 apply (zenon_L845_); trivial. % 0.88/1.06 apply (zenon_L847_); trivial. % 0.88/1.06 (* end of lemma zenon_L848_ *) % 0.88/1.06 assert (zenon_L849_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_He9 zenon_He5 zenon_He2 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H35 zenon_H34 zenon_H33 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6 zenon_H66 zenon_H208 zenon_H206 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H3 zenon_H177 zenon_H1c7 zenon_H27a zenon_H103 zenon_Hff zenon_H1dc zenon_H14f zenon_H1b6 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_Hec. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.06 apply (zenon_L759_); trivial. % 0.88/1.06 apply (zenon_L334_); trivial. % 0.88/1.06 apply (zenon_L335_); trivial. % 0.88/1.06 (* end of lemma zenon_L849_ *) % 0.88/1.06 assert (zenon_L850_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(hskp5)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.88/1.06 do 0 intro. intros zenon_Ha1 zenon_H13 zenon_H4f zenon_H2ed zenon_H2ee zenon_H2ef zenon_H271 zenon_H27 zenon_H26 zenon_H28 zenon_H2f6 zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_H90 zenon_H161 zenon_H160 zenon_H15f zenon_H1f5 zenon_H1f6 zenon_H12 zenon_H1. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.06 apply (zenon_L531_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H71 | zenon_intro zenon_H2f7 ]. % 0.88/1.06 apply (zenon_L530_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2ec | zenon_intro zenon_H50 ]. % 0.88/1.06 apply (zenon_L678_); trivial. % 0.88/1.06 exact (zenon_H4f zenon_H50). % 0.88/1.06 apply (zenon_L398_); trivial. % 0.88/1.06 (* end of lemma zenon_L850_ *) % 0.88/1.06 assert (zenon_L851_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp11)) -> (~(c0_1 (a284))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (c2_1 (a284)) -> (~(c3_1 (a284))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(hskp16)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H170 zenon_H25b zenon_H2f6 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H4f zenon_Ha1 zenon_H1c7 zenon_H26 zenon_H1c9 zenon_H28 zenon_H27 zenon_H271 zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_H90 zenon_H1f5 zenon_H1f6 zenon_H1. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H13 | zenon_intro zenon_H25c ]. % 0.88/1.06 apply (zenon_L850_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H24d | zenon_intro zenon_H251 ]. % 0.88/1.06 apply (zenon_L256_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.06 apply (zenon_L534_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.06 apply (zenon_L535_); trivial. % 0.88/1.06 apply (zenon_L398_); trivial. % 0.88/1.06 (* end of lemma zenon_L851_ *) % 0.88/1.06 assert (zenon_L852_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H67 zenon_Hfe zenon_H7 zenon_H3 zenon_Ha1 zenon_H1f5 zenon_H1f6 zenon_H1d4 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H90 zenon_H1c7 zenon_H1c9 zenon_H25b zenon_H16f. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.06 apply (zenon_L4_); trivial. % 0.88/1.06 apply (zenon_L851_); trivial. % 0.88/1.06 apply (zenon_L835_); trivial. % 0.88/1.06 (* end of lemma zenon_L852_ *) % 0.88/1.06 assert (zenon_L853_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_He9 zenon_He5 zenon_He2 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H35 zenon_H34 zenon_H33 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6 zenon_H66 zenon_H208 zenon_H206 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H3 zenon_H177 zenon_H1c7 zenon_H27a zenon_H235 zenon_H1c9 zenon_H140 zenon_H15e zenon_H13f zenon_H237 zenon_H238 zenon_H239 zenon_H25b zenon_H25d zenon_H1b6 zenon_H271 zenon_Hec. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.06 apply (zenon_L421_); trivial. % 0.88/1.06 apply (zenon_L693_); trivial. % 0.88/1.06 apply (zenon_L334_); trivial. % 0.88/1.06 apply (zenon_L335_); trivial. % 0.88/1.06 (* end of lemma zenon_L853_ *) % 0.88/1.06 assert (zenon_L854_ : ((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H15b zenon_H226 zenon_H42 zenon_Hfe zenon_He9 zenon_He5 zenon_He2 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H4f zenon_H2f6 zenon_H66 zenon_H206 zenon_H27a zenon_H235 zenon_H25b zenon_H25d zenon_H1b6 zenon_H7 zenon_H3 zenon_H208 zenon_H177 zenon_H90 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H1d4 zenon_Hec zenon_H16f zenon_H263 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H1c9 zenon_H273 zenon_Ha1 zenon_H6a. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.06 apply (zenon_L752_); trivial. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.06 apply (zenon_L355_); trivial. % 0.88/1.06 apply (zenon_L853_); trivial. % 0.88/1.06 apply (zenon_L852_); trivial. % 0.88/1.06 apply (zenon_L679_); trivial. % 0.88/1.06 (* end of lemma zenon_L854_ *) % 0.88/1.06 assert (zenon_L855_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (~(c2_1 (a270))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (~(hskp14)) -> (~(hskp12)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(c3_1 X2)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (~(hskp19)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hed zenon_H1c9 zenon_H1c7 zenon_H237 zenon_H238 zenon_H239 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H273 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H1f4 zenon_H1f5 zenon_H1f6 zenon_H204 zenon_H2f zenon_H9 zenon_H263 zenon_H122 zenon_H11f zenon_H118 zenon_H117 zenon_H116 zenon_Had zenon_H113 zenon_Hb2 zenon_He5 zenon_H14f. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.06 apply (zenon_L766_); trivial. % 0.88/1.06 apply (zenon_L362_); trivial. % 0.88/1.06 (* end of lemma zenon_L855_ *) % 0.88/1.06 assert (zenon_L856_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H3f zenon_Hec zenon_He9 zenon_He2 zenon_Hd6 zenon_He5 zenon_Hb2 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c7 zenon_H1c9 zenon_Hed. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.06 apply (zenon_L689_); trivial. % 0.88/1.06 apply (zenon_L362_); trivial. % 0.88/1.06 apply (zenon_L694_); trivial. % 0.88/1.06 (* end of lemma zenon_L856_ *) % 0.88/1.06 assert (zenon_L857_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H67 zenon_H42 zenon_Hec zenon_He9 zenon_He2 zenon_Hd6 zenon_He5 zenon_Hb2 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c7 zenon_H1c9 zenon_Hed zenon_H31. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.06 apply (zenon_L16_); trivial. % 0.88/1.06 apply (zenon_L856_); trivial. % 0.88/1.06 (* end of lemma zenon_L857_ *) % 0.88/1.06 assert (zenon_L858_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> (~(c0_1 (a291))) -> (c2_1 (a291)) -> (c3_1 (a291)) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (~(hskp5)) -> False). % 0.88/1.06 do 0 intro. intros zenon_He4 zenon_H2f6 zenon_H1c7 zenon_He2 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H286 zenon_H288 zenon_H28f zenon_H239 zenon_H238 zenon_H237 zenon_H1c9 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H4f. % 0.88/1.06 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.88/1.06 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.88/1.06 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H71 | zenon_intro zenon_H2f7 ]. % 0.88/1.06 apply (zenon_L434_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2ec | zenon_intro zenon_H50 ]. % 0.88/1.06 apply (zenon_L678_); trivial. % 0.88/1.06 exact (zenon_H4f zenon_H50). % 0.88/1.06 (* end of lemma zenon_L858_ *) % 0.88/1.06 assert (zenon_L859_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a291)) -> (c2_1 (a291)) -> (~(c0_1 (a291))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_H271 zenon_He9 zenon_H2f6 zenon_H4f zenon_H2ef zenon_H2ee zenon_H2ed zenon_He2 zenon_H28f zenon_H288 zenon_H286 zenon_H239 zenon_H238 zenon_H237 zenon_H1c9 zenon_H66 zenon_H208 zenon_H206 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H3 zenon_H177 zenon_H1c7 zenon_H27a zenon_H103 zenon_Hff zenon_H1dc zenon_H14f zenon_H1b6 zenon_H44 zenon_H45 zenon_H46 zenon_Hd6 zenon_H33 zenon_H34 zenon_H35 zenon_H7c zenon_He5 zenon_Hec. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.06 apply (zenon_L417_); trivial. % 0.88/1.06 apply (zenon_L858_); trivial. % 0.88/1.06 apply (zenon_L694_); trivial. % 0.88/1.06 apply (zenon_L335_); trivial. % 0.88/1.06 (* end of lemma zenon_L859_ *) % 0.88/1.06 assert (zenon_L860_ : ((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> (~(c1_1 (a280))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H2df zenon_Hfe zenon_He9 zenon_H2f6 zenon_H4f zenon_H2ef zenon_H2ee zenon_H2ed zenon_He2 zenon_H1c9 zenon_H66 zenon_H206 zenon_H1c7 zenon_H27a zenon_H103 zenon_Hff zenon_H1dc zenon_H14f zenon_H1b6 zenon_H44 zenon_H45 zenon_H46 zenon_Hd6 zenon_H33 zenon_H34 zenon_H35 zenon_H7c zenon_He5 zenon_H7 zenon_H3 zenon_H208 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H177 zenon_H90 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H1d4 zenon_Hec zenon_H16f. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.06 apply (zenon_L355_); trivial. % 0.88/1.06 apply (zenon_L859_); trivial. % 0.88/1.06 (* end of lemma zenon_L860_ *) % 0.88/1.06 assert (zenon_L861_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a270))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (c3_1 (a291)) -> (c2_1 (a291)) -> (~(c0_1 (a291))) -> (ndr1_0) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hed zenon_H1c9 zenon_H1c7 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_H237 zenon_H238 zenon_H239 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_Hb2 zenon_Had zenon_H28f zenon_H288 zenon_H286 zenon_H12 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.06 apply (zenon_L768_); trivial. % 0.88/1.06 apply (zenon_L362_); trivial. % 0.88/1.06 (* end of lemma zenon_L861_ *) % 0.88/1.06 assert (zenon_L862_ : ((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H2df zenon_Hec zenon_He9 zenon_He2 zenon_Hd6 zenon_H46 zenon_H45 zenon_H44 zenon_H2f6 zenon_H4f zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hb2 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H1f5 zenon_H1f6 zenon_H1f4 zenon_H1c7 zenon_H1c9 zenon_Hed. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.06 apply (zenon_L861_); trivial. % 0.88/1.06 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.88/1.06 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.06 apply (zenon_L691_); trivial. % 0.88/1.06 apply (zenon_L858_); trivial. % 0.88/1.06 (* end of lemma zenon_L862_ *) % 0.88/1.06 assert (zenon_L863_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> (~(hskp4)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c2_1 (a270))) -> (~(hskp7)) -> ((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/((hskp7)\/(hskp19))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (c3_1 (a281)) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_He9 zenon_He5 zenon_He2 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H35 zenon_H34 zenon_H33 zenon_H179 zenon_H17a zenon_H17b zenon_H5f zenon_H182 zenon_H66 zenon_H208 zenon_H206 zenon_H1f6 zenon_H1f5 zenon_H1f4 zenon_H3 zenon_H177 zenon_H1c7 zenon_H27a zenon_H235 zenon_H1c9 zenon_H140 zenon_H15e zenon_H13f zenon_H237 zenon_H238 zenon_H239 zenon_H25b zenon_H25d zenon_H1b6 zenon_H271 zenon_Hec. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.06 apply (zenon_L421_); trivial. % 0.88/1.06 apply (zenon_L110_); trivial. % 0.88/1.06 apply (zenon_L334_); trivial. % 0.88/1.06 apply (zenon_L335_); trivial. % 0.88/1.06 (* end of lemma zenon_L863_ *) % 0.88/1.06 assert (zenon_L864_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((hskp29)\/((hskp9)\/(hskp11))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H226 zenon_H42 zenon_H3e zenon_H3c zenon_H263 zenon_H211 zenon_H212 zenon_H213 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273 zenon_H16f zenon_H2f6 zenon_H4f zenon_H90 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H1c9 zenon_H2bd zenon_H206 zenon_H66 zenon_Hfe zenon_H6a. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.06 apply (zenon_L801_); trivial. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.06 apply (zenon_L447_); trivial. % 0.88/1.06 apply (zenon_L833_); trivial. % 0.88/1.06 apply (zenon_L835_); trivial. % 0.88/1.06 apply (zenon_L679_); trivial. % 0.88/1.06 (* end of lemma zenon_L864_ *) % 0.88/1.06 assert (zenon_L865_ : ((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(c2_1 (a281))) -> (~(c0_1 (a281))) -> (c3_1 (a281)) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H222 zenon_H6a zenon_H25b zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H15e zenon_H13f zenon_H140 zenon_H273 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H213 zenon_H212 zenon_H211 zenon_H263 zenon_H16f zenon_H208 zenon_H3 zenon_H7 zenon_Ha1 zenon_Hfe zenon_H42. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.06 apply (zenon_L821_); trivial. % 0.88/1.06 apply (zenon_L520_); trivial. % 0.88/1.06 (* end of lemma zenon_L865_ *) % 0.88/1.06 assert (zenon_L866_ : ((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp7)) -> ((hskp16)\/((hskp7)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H15b zenon_H226 zenon_H6a zenon_H273 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H263 zenon_H42 zenon_H16f zenon_H208 zenon_H213 zenon_H212 zenon_H211 zenon_H3 zenon_H7 zenon_Hec zenon_H1b6 zenon_H25d zenon_H25b zenon_H239 zenon_H238 zenon_H237 zenon_H235 zenon_H27a zenon_H206 zenon_H66 zenon_H271 zenon_H113 zenon_He2 zenon_H46 zenon_H45 zenon_H44 zenon_Ha1 zenon_He5 zenon_He9 zenon_Hfe. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.06 apply (zenon_L514_); trivial. % 0.88/1.06 apply (zenon_L865_); trivial. % 0.88/1.06 (* end of lemma zenon_L866_ *) % 0.88/1.06 assert (zenon_L867_ : ((ndr1_0)/\((c2_1 (a280))/\((c3_1 (a280))/\(~(c1_1 (a280)))))) -> ((~(hskp10))\/((ndr1_0)/\((c3_1 (a281))/\((~(c0_1 (a281)))/\(~(c2_1 (a281))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((hskp16)\/((hskp7)\/(hskp18))) -> (~(hskp7)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H153 zenon_H14e zenon_H6a zenon_H273 zenon_H315 zenon_H263 zenon_H42 zenon_H25d zenon_H25b zenon_H235 zenon_Hfe zenon_He9 zenon_He5 zenon_Ha1 zenon_He2 zenon_H237 zenon_H238 zenon_H239 zenon_H113 zenon_H271 zenon_H66 zenon_H206 zenon_H27a zenon_H103 zenon_H1dc zenon_H14f zenon_H1b6 zenon_Hec zenon_H7 zenon_H3 zenon_H211 zenon_H212 zenon_H213 zenon_H208 zenon_H16f zenon_H2ed zenon_H2ee zenon_H2ef zenon_H4f zenon_H2f6 zenon_H226. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.06 apply (zenon_L522_); trivial. % 0.88/1.06 apply (zenon_L679_); trivial. % 0.88/1.06 apply (zenon_L866_); trivial. % 0.88/1.06 (* end of lemma zenon_L867_ *) % 0.88/1.06 assert (zenon_L868_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp16)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp28)) -> (ndr1_0) -> (~(c3_1 (a303))) -> (c2_1 (a303)) -> (c1_1 (a303)) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(hskp6)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H9f zenon_H1 zenon_H44 zenon_H46 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H161 zenon_H160 zenon_H15f zenon_H90 zenon_H127 zenon_H12 zenon_Hcb zenon_Hcd zenon_Hcc zenon_H116 zenon_H117 zenon_H118 zenon_H129 zenon_H6b. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.88/1.06 apply (zenon_L454_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.88/1.06 apply (zenon_L541_); trivial. % 0.88/1.06 exact (zenon_H6b zenon_H6c). % 0.88/1.06 (* end of lemma zenon_L868_ *) % 0.88/1.06 assert (zenon_L869_ : ((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (~(hskp27)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H139 zenon_Ha1 zenon_H45 zenon_H46 zenon_H44 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H211 zenon_H212 zenon_H213 zenon_H315 zenon_H7c zenon_H35 zenon_H34 zenon_H33 zenon_H7a. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.06 apply (zenon_L38_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.06 apply (zenon_L803_); trivial. % 0.88/1.06 apply (zenon_L82_); trivial. % 0.88/1.06 (* end of lemma zenon_L869_ *) % 0.88/1.06 assert (zenon_L870_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c1_1 (a287)) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22)))))) -> (~(c1_1 (a268))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H90 zenon_H35 zenon_H33 zenon_H34 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H211 zenon_H212 zenon_H213 zenon_H315 zenon_H239 zenon_H238 zenon_H1bc zenon_H237 zenon_H12 zenon_H1. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.88/1.06 apply (zenon_L803_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.88/1.06 apply (zenon_L281_); trivial. % 0.88/1.06 exact (zenon_H1 zenon_H2). % 0.88/1.06 (* end of lemma zenon_L870_ *) % 0.88/1.06 assert (zenon_L871_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp16)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (c1_1 (a287)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c2_1 (a276)) -> (c3_1 (a276)) -> (c1_1 (a276)) -> (forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (c0_1 (a278)) -> (c1_1 (a278)) -> (c3_1 (a278)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H1d4 zenon_H1 zenon_H237 zenon_H238 zenon_H239 zenon_H315 zenon_H213 zenon_H212 zenon_H211 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H34 zenon_H33 zenon_H35 zenon_H90 zenon_Ha5 zenon_Ha6 zenon_Ha4 zenon_H53 zenon_H12 zenon_H12b zenon_H12d zenon_H12c. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.88/1.06 apply (zenon_L870_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.88/1.06 apply (zenon_L233_); trivial. % 0.88/1.06 apply (zenon_L103_); trivial. % 0.88/1.06 (* end of lemma zenon_L871_ *) % 0.88/1.06 assert (zenon_L872_ : ((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (~(c3_1 (a303))) -> (c1_1 (a303)) -> (c2_1 (a303)) -> (c1_1 (a276)) -> (c3_1 (a276)) -> (c2_1 (a276)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c1_1 (a287)) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H139 zenon_H9f zenon_H44 zenon_H46 zenon_H271 zenon_H161 zenon_H160 zenon_H15f zenon_Hcb zenon_Hcc zenon_Hcd zenon_Ha4 zenon_Ha6 zenon_Ha5 zenon_H90 zenon_H35 zenon_H33 zenon_H34 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H211 zenon_H212 zenon_H213 zenon_H315 zenon_H239 zenon_H238 zenon_H237 zenon_H1 zenon_H1d4 zenon_H6b. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H89 | zenon_intro zenon_Ha0 ]. % 0.88/1.06 apply (zenon_L454_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H53 | zenon_intro zenon_H6c ]. % 0.88/1.06 apply (zenon_L871_); trivial. % 0.88/1.06 exact (zenon_H6b zenon_H6c). % 0.88/1.06 (* end of lemma zenon_L872_ *) % 0.88/1.06 assert (zenon_L873_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (c2_1 (a280)) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_He8 zenon_He5 zenon_H1d4 zenon_H9f zenon_H6b zenon_H116 zenon_H117 zenon_H118 zenon_H129 zenon_H271 zenon_H161 zenon_H160 zenon_H15f zenon_H239 zenon_H238 zenon_H237 zenon_H44 zenon_H46 zenon_H1 zenon_H90 zenon_H7c zenon_H45 zenon_H35 zenon_H34 zenon_H33 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H213 zenon_H212 zenon_H211 zenon_Ha1 zenon_H13c. % 0.88/1.06 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.88/1.06 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.88/1.06 apply (zenon_L868_); trivial. % 0.88/1.06 apply (zenon_L869_); trivial. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.88/1.06 apply (zenon_L868_); trivial. % 0.88/1.06 apply (zenon_L872_); trivial. % 0.88/1.06 (* end of lemma zenon_L873_ *) % 0.88/1.06 assert (zenon_L874_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(hskp20)) -> (~(hskp19)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (ndr1_0) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_He5 zenon_Hb2 zenon_Haf zenon_Had zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H35 zenon_H34 zenon_H33 zenon_H12 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H213 zenon_H212 zenon_H211 zenon_Hee zenon_Hef zenon_Hf0 zenon_Ha1. % 0.88/1.06 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.06 apply (zenon_L813_); trivial. % 0.88/1.06 apply (zenon_L49_); trivial. % 0.88/1.06 (* end of lemma zenon_L874_ *) % 0.88/1.06 assert (zenon_L875_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (ndr1_0) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hec zenon_He5 zenon_Hb2 zenon_H7c zenon_H44 zenon_H46 zenon_H45 zenon_H35 zenon_H34 zenon_H33 zenon_H12 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H213 zenon_H212 zenon_H211 zenon_Hee zenon_Hef zenon_Hf0 zenon_Ha1 zenon_H1b6 zenon_H25d zenon_H25b zenon_H237 zenon_H238 zenon_H239 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H235 zenon_H27a zenon_H1c7 zenon_H5 zenon_H206 zenon_H66 zenon_H13c zenon_H9f zenon_H6b zenon_H1d4 zenon_H13d zenon_H113 zenon_H271 zenon_H20c zenon_H14f zenon_He9 zenon_Hed. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.06 apply (zenon_L874_); trivial. % 0.88/1.06 apply (zenon_L557_); trivial. % 0.88/1.06 apply (zenon_L334_); trivial. % 0.88/1.06 (* end of lemma zenon_L875_ *) % 0.88/1.06 assert (zenon_L876_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H3f zenon_Hfe zenon_Hec zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_He9 zenon_H20a zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H235 zenon_H25b zenon_Hd6 zenon_H239 zenon_H238 zenon_H237 zenon_H113 zenon_Hb2 zenon_He5 zenon_H25d zenon_H1b6 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H1d4 zenon_H90 zenon_H13d zenon_H271 zenon_H7c zenon_H13c zenon_H20c zenon_H14f zenon_Hed zenon_H1c9 zenon_H2f6 zenon_H4f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H45 zenon_H46 zenon_H44 zenon_Ha1 zenon_H315 zenon_H6b zenon_H9f zenon_H16f. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.06 apply (zenon_L499_); trivial. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.06 apply (zenon_L689_); trivial. % 0.88/1.06 apply (zenon_L465_); trivial. % 0.88/1.06 apply (zenon_L873_); trivial. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.06 apply (zenon_L875_); trivial. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.06 apply (zenon_L874_); trivial. % 0.88/1.06 apply (zenon_L465_); trivial. % 0.88/1.06 apply (zenon_L334_); trivial. % 0.88/1.06 (* end of lemma zenon_L876_ *) % 0.88/1.06 assert (zenon_L877_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H42 zenon_Hfe zenon_Hec zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_He9 zenon_H20a zenon_H66 zenon_H206 zenon_H1c7 zenon_H27a zenon_H235 zenon_H25b zenon_Hd6 zenon_H239 zenon_H238 zenon_H237 zenon_H113 zenon_Hb2 zenon_He5 zenon_H25d zenon_H1b6 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H1d4 zenon_H90 zenon_H13d zenon_H271 zenon_H7c zenon_H13c zenon_H20c zenon_H14f zenon_Hed zenon_H1c9 zenon_H2f6 zenon_H4f zenon_H45 zenon_H46 zenon_H44 zenon_Ha1 zenon_H6b zenon_H9f zenon_H16f zenon_H263 zenon_H9 zenon_H211 zenon_H212 zenon_H213 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.06 apply (zenon_L800_); trivial. % 0.88/1.06 apply (zenon_L876_); trivial. % 0.88/1.06 (* end of lemma zenon_L877_ *) % 0.88/1.06 assert (zenon_L878_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(hskp14)) -> (~(hskp17)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H16f zenon_H2f6 zenon_H4f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H90 zenon_H1 zenon_H27 zenon_H26 zenon_H28 zenon_H271 zenon_H1c9 zenon_Hed zenon_H2a2 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H2f zenon_H280 zenon_H282 zenon_H1b6 zenon_H25d zenon_He5 zenon_Hb2 zenon_H113 zenon_H237 zenon_H238 zenon_H239 zenon_Hd6 zenon_H25b zenon_H235 zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H66 zenon_H20a zenon_He9 zenon_H31 zenon_Hec. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.06 apply (zenon_L482_); trivial. % 0.88/1.06 apply (zenon_L833_); trivial. % 0.88/1.06 (* end of lemma zenon_L878_ *) % 0.88/1.06 assert (zenon_L879_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (~(hskp14)) -> ((hskp30)\/((hskp14)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> (c3_1 (a280)) -> (c2_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hfe zenon_H16f zenon_H2f6 zenon_H4f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H90 zenon_H27 zenon_H26 zenon_H28 zenon_H271 zenon_H1c9 zenon_Hed zenon_H2a2 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H2f zenon_H282 zenon_H1b6 zenon_H25d zenon_He5 zenon_Hb2 zenon_H113 zenon_H237 zenon_H238 zenon_H239 zenon_Hd6 zenon_H25b zenon_H235 zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H66 zenon_H20a zenon_He9 zenon_H31 zenon_Hec zenon_H46 zenon_H45 zenon_H44 zenon_H5d zenon_H1ba zenon_H2b3. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H280 | zenon_intro zenon_H2b0 ]. % 0.88/1.06 apply (zenon_L878_); trivial. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H12. zenon_intro zenon_H2b1. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a9. zenon_intro zenon_H2b2. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2a7. zenon_intro zenon_H2a8. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.06 apply (zenon_L485_); trivial. % 0.88/1.06 apply (zenon_L833_); trivial. % 0.88/1.06 apply (zenon_L835_); trivial. % 0.88/1.06 (* end of lemma zenon_L879_ *) % 0.88/1.06 assert (zenon_L880_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/(hskp9)) -> (~(hskp9)) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c2_1 (a273)) -> (c1_1 (a273)) -> (~(c0_1 (a273))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((hskp29)\/((hskp9)\/(hskp11))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_H226 zenon_H42 zenon_H3e zenon_H3c zenon_H263 zenon_H211 zenon_H212 zenon_H213 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273 zenon_H16f zenon_H1c9 zenon_H271 zenon_H19f zenon_H19e zenon_H19d zenon_H239 zenon_H238 zenon_H237 zenon_H90 zenon_H2bd zenon_H206 zenon_H66 zenon_H4f zenon_H2f6 zenon_Hfe zenon_H6a. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.06 apply (zenon_L801_); trivial. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.06 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.06 apply (zenon_L463_); trivial. % 0.88/1.06 apply (zenon_L835_); trivial. % 0.88/1.06 apply (zenon_L679_); trivial. % 0.88/1.06 (* end of lemma zenon_L880_ *) % 0.88/1.06 assert (zenon_L881_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c3_1 (a291)) -> (c2_1 (a291)) -> (~(c0_1 (a291))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c1_1 (a287)) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (ndr1_0) -> (c0_1 (a278)) -> (c1_1 (a278)) -> (c3_1 (a278)) -> False). % 0.88/1.06 do 0 intro. intros zenon_H1d4 zenon_H28f zenon_H288 zenon_H286 zenon_H71 zenon_H237 zenon_H238 zenon_H239 zenon_Hd9 zenon_Hda zenon_Hdb zenon_He2 zenon_H35 zenon_H33 zenon_H34 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H211 zenon_H212 zenon_H213 zenon_H315 zenon_H12 zenon_H12b zenon_H12d zenon_H12c. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.88/1.06 apply (zenon_L433_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.88/1.06 apply (zenon_L803_); trivial. % 0.88/1.06 apply (zenon_L103_); trivial. % 0.88/1.06 (* end of lemma zenon_L881_ *) % 0.88/1.06 assert (zenon_L882_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (c1_1 (a287)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c0_1 (a291))) -> (c2_1 (a291)) -> (c3_1 (a291)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> False). % 0.88/1.06 do 0 intro. intros zenon_Hc7 zenon_He9 zenon_H14f zenon_H20c zenon_H13d zenon_H1d4 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H34 zenon_H33 zenon_H35 zenon_H315 zenon_H286 zenon_H288 zenon_H28f zenon_He2 zenon_H46 zenon_H44 zenon_H5d zenon_H1ba zenon_H13c zenon_H66 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H235 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H25b zenon_H25d zenon_H1b6. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.88/1.06 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.88/1.06 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.06 apply (zenon_L489_); trivial. % 0.88/1.06 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.88/1.06 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.88/1.06 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.88/1.06 apply (zenon_L89_); trivial. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.88/1.06 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H71 | zenon_intro zenon_H1bb ]. % 0.88/1.06 apply (zenon_L881_); trivial. % 0.88/1.06 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H89 | zenon_intro zenon_H5e ]. % 0.88/1.07 apply (zenon_L52_); trivial. % 0.88/1.07 exact (zenon_H5d zenon_H5e). % 0.88/1.07 apply (zenon_L496_); trivial. % 0.88/1.07 (* end of lemma zenon_L882_ *) % 0.88/1.07 assert (zenon_L883_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (ndr1_0) -> (~(c0_1 (a291))) -> (c2_1 (a291)) -> (c3_1 (a291)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c1_1 (a287)) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hec zenon_He5 zenon_H1 zenon_H90 zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_H271 zenon_H7c zenon_H2f6 zenon_H4f zenon_H2ef zenon_H2ee zenon_H2ed zenon_H12 zenon_H286 zenon_H288 zenon_H28f zenon_Hb2 zenon_H1b6 zenon_H25d zenon_H25b zenon_H237 zenon_H238 zenon_H239 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H235 zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H66 zenon_H13c zenon_H1ba zenon_H5d zenon_H44 zenon_H46 zenon_He2 zenon_H315 zenon_H35 zenon_H33 zenon_H34 zenon_H1d4 zenon_H13d zenon_H20c zenon_H14f zenon_He9 zenon_Hed. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.07 apply (zenon_L768_); trivial. % 0.88/1.07 apply (zenon_L882_); trivial. % 0.88/1.07 apply (zenon_L498_); trivial. % 0.88/1.07 (* end of lemma zenon_L883_ *) % 0.88/1.07 assert (zenon_L884_ : ((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c1_1 (a287)) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H2df zenon_Hfe zenon_Ha1 zenon_H1b4 zenon_Hec zenon_He5 zenon_H90 zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_H271 zenon_H7c zenon_H2f6 zenon_H4f zenon_H2ef zenon_H2ee zenon_H2ed zenon_Hb2 zenon_H1b6 zenon_H25d zenon_H25b zenon_H237 zenon_H238 zenon_H239 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H235 zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H66 zenon_H13c zenon_H1ba zenon_H5d zenon_H44 zenon_H46 zenon_He2 zenon_H315 zenon_H35 zenon_H33 zenon_H34 zenon_H1d4 zenon_H13d zenon_H20c zenon_H14f zenon_He9 zenon_Hed zenon_H19d zenon_H19e zenon_H19f zenon_H1c9 zenon_H16f. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.07 apply (zenon_L883_); trivial. % 0.88/1.07 apply (zenon_L318_); trivial. % 0.88/1.07 apply (zenon_L467_); trivial. % 0.88/1.07 (* end of lemma zenon_L884_ *) % 0.88/1.07 assert (zenon_L885_ : ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> (~(c0_1 (a273))) -> (c1_1 (a273)) -> (c2_1 (a273)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((hskp15)\/(hskp12))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H42 zenon_H2de zenon_Hfe zenon_Ha1 zenon_H1b4 zenon_Hec zenon_He5 zenon_H90 zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_H271 zenon_H7c zenon_H2f6 zenon_H4f zenon_Hb2 zenon_H1b6 zenon_H25d zenon_H25b zenon_H237 zenon_H238 zenon_H239 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H235 zenon_H27a zenon_H1c7 zenon_H206 zenon_H66 zenon_H13c zenon_H1ba zenon_H5d zenon_H44 zenon_H46 zenon_He2 zenon_H1d4 zenon_H13d zenon_H20c zenon_H14f zenon_He9 zenon_Hed zenon_H1c9 zenon_H16f zenon_H19d zenon_H19e zenon_H19f zenon_H27e zenon_H263 zenon_H9 zenon_H211 zenon_H212 zenon_H213 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H273. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_L800_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.88/1.07 apply (zenon_L275_); trivial. % 0.88/1.07 apply (zenon_L884_); trivial. % 0.88/1.07 (* end of lemma zenon_L885_ *) % 0.88/1.07 assert (zenon_L886_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a284)) -> (~(c0_1 (a284))) -> (~(c3_1 (a284))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c1_1 (a287)) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hf9 zenon_Ha1 zenon_H28 zenon_H26 zenon_H27 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H35 zenon_H33 zenon_H34 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H211 zenon_H212 zenon_H213 zenon_H315. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.07 apply (zenon_L311_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.07 apply (zenon_L803_); trivial. % 0.88/1.07 apply (zenon_L66_); trivial. % 0.88/1.07 (* end of lemma zenon_L886_ *) % 0.88/1.07 assert (zenon_L887_ : ((ndr1_0)/\((c0_1 (a337))/\((c2_1 (a337))/\(c3_1 (a337))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c2_1 (a307)) -> (c0_1 (a307)) -> (~(c1_1 (a307))) -> (~(hskp18)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c1_1 (a276)) -> (c2_1 (a276)) -> (c3_1 (a276)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H2a3 zenon_He2 zenon_Hdb zenon_Hda zenon_Hd9 zenon_H5 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_Ha4 zenon_Ha5 zenon_Ha6. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H12. zenon_intro zenon_H2a4. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H296. zenon_intro zenon_H2a5. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H2a6. zenon_intro zenon_H297. % 0.88/1.07 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_He3 ]. % 0.88/1.07 apply (zenon_L60_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H88 | zenon_intro zenon_Ha3 ]. % 0.88/1.07 apply (zenon_L449_); trivial. % 0.88/1.07 apply (zenon_L46_); trivial. % 0.88/1.07 (* end of lemma zenon_L887_ *) % 0.88/1.07 assert (zenon_L888_ : ((ndr1_0)/\((c3_1 (a295))/\((~(c0_1 (a295)))/\(~(c1_1 (a295)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (c2_1 (a284)) -> (~(c0_1 (a284))) -> (~(c3_1 (a284))) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(hskp3)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H2b0 zenon_H1ba zenon_H28 zenon_H26 zenon_H27 zenon_Hee zenon_Hef zenon_Hf0 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H5d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H12. zenon_intro zenon_H2b1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a9. zenon_intro zenon_H2b2. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2a7. zenon_intro zenon_H2a8. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H71 | zenon_intro zenon_H1bb ]. % 0.88/1.07 apply (zenon_L311_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H89 | zenon_intro zenon_H5e ]. % 0.88/1.07 apply (zenon_L287_); trivial. % 0.88/1.07 exact (zenon_H5d zenon_H5e). % 0.88/1.07 (* end of lemma zenon_L888_ *) % 0.88/1.07 assert (zenon_L889_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> (c2_1 (a280)) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_H179 zenon_H17a zenon_H17b zenon_H1c9 zenon_Hed zenon_He9 zenon_H14f zenon_H20c zenon_H271 zenon_H113 zenon_H13d zenon_H1d4 zenon_H6b zenon_H9f zenon_H13c zenon_H66 zenon_H206 zenon_H1c7 zenon_H27a zenon_H235 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H25b zenon_H25d zenon_H1b6 zenon_Ha1 zenon_H211 zenon_H212 zenon_H213 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H33 zenon_H34 zenon_H35 zenon_H45 zenon_H46 zenon_H44 zenon_H7c zenon_Hb2 zenon_He5 zenon_Hec. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.07 apply (zenon_L875_); trivial. % 0.88/1.07 apply (zenon_L558_); trivial. % 0.88/1.07 (* end of lemma zenon_L889_ *) % 0.88/1.07 assert (zenon_L890_ : ((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp11)) -> (c2_1 (a284)) -> (~(c0_1 (a284))) -> (~(c3_1 (a284))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (~(hskp16)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (c3_1 (a298)) -> (c1_1 (a298)) -> (~(c2_1 (a298))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp3)) -> False). % 0.88/1.07 do 0 intro. intros zenon_He8 zenon_H1ba zenon_H1c7 zenon_H28 zenon_H26 zenon_H27 zenon_H1c9 zenon_H1 zenon_H44 zenon_H46 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H161 zenon_H160 zenon_H15f zenon_H90 zenon_H5d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H71 | zenon_intro zenon_H1bb ]. % 0.88/1.07 apply (zenon_L534_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H89 | zenon_intro zenon_H5e ]. % 0.88/1.07 apply (zenon_L454_); trivial. % 0.88/1.07 exact (zenon_H5d zenon_H5e). % 0.88/1.07 (* end of lemma zenon_L890_ *) % 0.88/1.07 assert (zenon_L891_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(hskp11)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H170 zenon_Hec zenon_H1ba zenon_H5d zenon_H44 zenon_H46 zenon_H90 zenon_H1 zenon_H27 zenon_H26 zenon_H28 zenon_H271 zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H1c7 zenon_H1c9 zenon_Hed. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.07 apply (zenon_L529_); trivial. % 0.88/1.07 apply (zenon_L890_); trivial. % 0.88/1.07 (* end of lemma zenon_L891_ *) % 0.88/1.07 assert (zenon_L892_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> (~(hskp14)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H16f zenon_H1ba zenon_H5d zenon_H44 zenon_H46 zenon_H27 zenon_H26 zenon_H28 zenon_H271 zenon_H1c9 zenon_Hed zenon_H14f zenon_H20c zenon_H17b zenon_H17a zenon_H179 zenon_H13d zenon_H90 zenon_H1 zenon_H1d4 zenon_H13c zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H1b6 zenon_H25d zenon_He5 zenon_Hb2 zenon_H113 zenon_H237 zenon_H238 zenon_H239 zenon_Hd6 zenon_H25b zenon_H235 zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H66 zenon_H20a zenon_He9 zenon_H2f zenon_H31 zenon_Hec. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.07 apply (zenon_L540_); trivial. % 0.88/1.07 apply (zenon_L891_); trivial. % 0.88/1.07 (* end of lemma zenon_L892_ *) % 0.88/1.07 assert (zenon_L893_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> (c2_1 (a284)) -> (~(c0_1 (a284))) -> (~(c3_1 (a284))) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H3f zenon_Hfe zenon_Hec zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_H271 zenon_H7c zenon_He9 zenon_H20a zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H235 zenon_H25b zenon_Hd6 zenon_H239 zenon_H238 zenon_H237 zenon_H113 zenon_Hb2 zenon_He5 zenon_H25d zenon_H1b6 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H13c zenon_H1d4 zenon_H90 zenon_H13d zenon_H179 zenon_H17a zenon_H17b zenon_H20c zenon_H14f zenon_Hed zenon_H1c9 zenon_H28 zenon_H26 zenon_H27 zenon_H46 zenon_H44 zenon_H5d zenon_H1ba zenon_H16f. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.07 apply (zenon_L560_); trivial. % 0.88/1.07 apply (zenon_L891_); trivial. % 0.88/1.07 apply (zenon_L547_); trivial. % 0.88/1.07 (* end of lemma zenon_L893_ *) % 0.88/1.07 assert (zenon_L894_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp28)\/(hskp23))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H67 zenon_H42 zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_H7c zenon_H16f zenon_H1ba zenon_H5d zenon_H44 zenon_H46 zenon_H271 zenon_H1c9 zenon_Hed zenon_H14f zenon_H20c zenon_H17b zenon_H17a zenon_H179 zenon_H13d zenon_H90 zenon_H1d4 zenon_H13c zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H1b6 zenon_H25d zenon_He5 zenon_Hb2 zenon_H113 zenon_H237 zenon_H238 zenon_H239 zenon_Hd6 zenon_H25b zenon_H235 zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H66 zenon_H20a zenon_He9 zenon_H31 zenon_Hec zenon_Hfe. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L892_); trivial. % 0.88/1.07 apply (zenon_L547_); trivial. % 0.88/1.07 apply (zenon_L893_); trivial. % 0.88/1.07 (* end of lemma zenon_L894_ *) % 0.88/1.07 assert (zenon_L895_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H3f zenon_Hfe zenon_Ha1 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_Hec zenon_H1d4 zenon_H90 zenon_H129 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H118 zenon_H117 zenon_H116 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H7c zenon_H13c zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H1cb zenon_H1cc zenon_H1cd zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H44 zenon_H5d zenon_H1ba zenon_Hed zenon_H16f. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L570_); trivial. % 0.88/1.07 apply (zenon_L819_); trivial. % 0.88/1.07 (* end of lemma zenon_L895_ *) % 0.88/1.07 assert (zenon_L896_ : ((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c1_1 (a352))/\((~(c2_1 (a352)))/\(~(c3_1 (a352))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> ((hskp14)\/((hskp25)\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a280))) -> (c3_1 (a280)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H222 zenon_H6a zenon_H31 zenon_H25b zenon_H273 zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H213 zenon_H212 zenon_H211 zenon_H263 zenon_H16f zenon_Hed zenon_H1ba zenon_H5d zenon_H44 zenon_H46 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_Hb2 zenon_He5 zenon_H13c zenon_H7c zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_H116 zenon_H117 zenon_H118 zenon_H206 zenon_H129 zenon_H90 zenon_H1d4 zenon_Hec zenon_Ha1 zenon_Hfe zenon_H42. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_L800_); trivial. % 0.88/1.07 apply (zenon_L895_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L566_); trivial. % 0.88/1.07 apply (zenon_L547_); trivial. % 0.88/1.07 apply (zenon_L895_); trivial. % 0.88/1.07 (* end of lemma zenon_L896_ *) % 0.88/1.07 assert (zenon_L897_ : ((ndr1_0)/\((c2_1 (a291))/\((c3_1 (a291))/\(~(c0_1 (a291)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c1_1 X36))\/(~(c2_1 X36))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (c1_1 (a287)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c0_1 (a282))) -> (~(c1_1 (a282))) -> (c2_1 (a282)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a280)) -> (~(c1_1 (a280))) -> (~(hskp3)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c1_1 X5)\/(~(c3_1 X5))))))\/(hskp3))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H2df zenon_Hfe zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_Hec zenon_H1d4 zenon_H90 zenon_H1b4 zenon_H129 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H118 zenon_H117 zenon_H116 zenon_H33 zenon_H34 zenon_H35 zenon_H271 zenon_H239 zenon_H238 zenon_H237 zenon_H7c zenon_H13c zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H1cb zenon_H1cc zenon_H1cd zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H46 zenon_H44 zenon_H5d zenon_H1ba zenon_Hed zenon_Ha1 zenon_H16f. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L588_); trivial. % 0.88/1.07 apply (zenon_L819_); trivial. % 0.88/1.07 (* end of lemma zenon_L897_ *) % 0.88/1.07 assert (zenon_L898_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c1_1 (a287)) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))) -> (~(hskp16)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H90 zenon_H35 zenon_H33 zenon_H34 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H211 zenon_H212 zenon_H213 zenon_H315 zenon_H1f5 zenon_H1f6 zenon_H12 zenon_H173 zenon_H1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H7e | zenon_intro zenon_H91 ]. % 0.88/1.07 apply (zenon_L803_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H88 | zenon_intro zenon_H2 ]. % 0.88/1.07 apply (zenon_L183_); trivial. % 0.88/1.07 exact (zenon_H1 zenon_H2). % 0.88/1.07 (* end of lemma zenon_L898_ *) % 0.88/1.07 assert (zenon_L899_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c1_1 (a287)) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_H90 zenon_H35 zenon_H33 zenon_H34 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H211 zenon_H212 zenon_H213 zenon_H315 zenon_H1f5 zenon_H1f6 zenon_H12 zenon_H1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.88/1.07 apply (zenon_L870_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.88/1.07 apply (zenon_L803_); trivial. % 0.88/1.07 apply (zenon_L898_); trivial. % 0.88/1.07 (* end of lemma zenon_L899_ *) % 0.88/1.07 assert (zenon_L900_ : ((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a307))) -> (c0_1 (a307)) -> (c2_1 (a307)) -> (~(c2_1 (a270))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H1b7 zenon_He5 zenon_H208 zenon_H3 zenon_Hd9 zenon_Hda zenon_Hdb zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_He2 zenon_H213 zenon_H212 zenon_H211 zenon_H237 zenon_H238 zenon_H239 zenon_Hee zenon_Hef zenon_Hf0 zenon_H113 zenon_Had zenon_H271. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.88/1.07 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.07 apply (zenon_L343_); trivial. % 0.88/1.07 apply (zenon_L642_); trivial. % 0.88/1.07 (* end of lemma zenon_L900_ *) % 0.88/1.07 assert (zenon_L901_ : ((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a270))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c2_1 (a293))) -> (c0_1 (a293)) -> (c1_1 (a293)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(hskp18)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_He4 zenon_H1b6 zenon_He5 zenon_H208 zenon_H3 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_He2 zenon_H237 zenon_H238 zenon_H239 zenon_Hee zenon_Hef zenon_Hf0 zenon_H113 zenon_Had zenon_H271 zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H5 zenon_H206 zenon_H66. % 0.88/1.07 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.88/1.07 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.88/1.07 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.88/1.07 apply (zenon_L457_); trivial. % 0.88/1.07 apply (zenon_L900_); trivial. % 0.88/1.07 (* end of lemma zenon_L901_ *) % 0.88/1.07 assert (zenon_L902_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(c2_1 (a270))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((hskp21)\/((hskp10)\/(hskp23))) -> (~(hskp10)) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_He9 zenon_He5 zenon_H208 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_He2 zenon_H237 zenon_H238 zenon_H239 zenon_H113 zenon_H271 zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H103 zenon_Hff zenon_H3 zenon_H1dc zenon_H14f zenon_H1b6 zenon_Hec. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.07 apply (zenon_L521_); trivial. % 0.88/1.07 apply (zenon_L901_); trivial. % 0.88/1.07 apply (zenon_L334_); trivial. % 0.88/1.07 apply (zenon_L208_); trivial. % 0.88/1.07 (* end of lemma zenon_L902_ *) % 0.88/1.07 assert (zenon_L903_ : ((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> (~(c2_1 (a270))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a281)) -> (~(c0_1 (a281))) -> (~(c2_1 (a281))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hf9 zenon_H16f zenon_He9 zenon_He5 zenon_H1f4 zenon_H1f6 zenon_H1f5 zenon_He2 zenon_H113 zenon_H271 zenon_H66 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H235 zenon_H208 zenon_H3 zenon_H140 zenon_H13f zenon_H15e zenon_H237 zenon_H238 zenon_H239 zenon_H25b zenon_H25d zenon_H1b6 zenon_Hec. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.07 apply (zenon_L510_); trivial. % 0.88/1.07 apply (zenon_L901_); trivial. % 0.88/1.07 apply (zenon_L334_); trivial. % 0.88/1.07 apply (zenon_L208_); trivial. % 0.88/1.07 (* end of lemma zenon_L903_ *) % 0.88/1.07 assert (zenon_L904_ : ((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> (~(hskp21)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H1b7 zenon_H25d zenon_He5 zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_H1 zenon_H90 zenon_H113 zenon_Had zenon_H237 zenon_H238 zenon_H239 zenon_Hd6 zenon_H25b zenon_Hd4 zenon_H235. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H233 | zenon_intro zenon_H25e ]. % 0.88/1.07 apply (zenon_L252_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H25e). zenon_intro zenon_H12. zenon_intro zenon_H25f. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H25f). zenon_intro zenon_H254. zenon_intro zenon_H260. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H260). zenon_intro zenon_H252. zenon_intro zenon_H253. % 0.88/1.07 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.07 apply (zenon_L258_); trivial. % 0.88/1.07 apply (zenon_L622_); trivial. % 0.88/1.07 (* end of lemma zenon_L904_ *) % 0.88/1.07 assert (zenon_L905_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> (~(hskp14)) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (~(c2_1 (a270))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hec zenon_H31 zenon_H2f zenon_He9 zenon_H20a zenon_H66 zenon_H206 zenon_H5 zenon_H213 zenon_H212 zenon_H211 zenon_H1c7 zenon_H27a zenon_H235 zenon_H25b zenon_Hd6 zenon_H239 zenon_H238 zenon_H237 zenon_H113 zenon_H90 zenon_H1 zenon_H1f5 zenon_H1f6 zenon_H1d4 zenon_He5 zenon_H25d zenon_H1b6 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H1f4 zenon_H204 zenon_H20c zenon_H14f zenon_Hed. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.88/1.07 apply (zenon_L457_); trivial. % 0.88/1.07 apply (zenon_L904_); trivial. % 0.88/1.07 apply (zenon_L240_); trivial. % 0.88/1.07 apply (zenon_L608_); trivial. % 0.88/1.07 apply (zenon_L443_); trivial. % 0.88/1.07 (* end of lemma zenon_L905_ *) % 0.88/1.07 assert (zenon_L906_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c3_1 (a284))) -> (~(c0_1 (a284))) -> (c2_1 (a284)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H3f zenon_Hfe zenon_Ha1 zenon_H27 zenon_H26 zenon_H28 zenon_H271 zenon_H90 zenon_H239 zenon_H238 zenon_H237 zenon_H211 zenon_H212 zenon_H213 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H1f5 zenon_H1f6 zenon_H1d4. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L899_); trivial. % 0.88/1.07 apply (zenon_L886_); trivial. % 0.88/1.07 (* end of lemma zenon_L906_ *) % 0.88/1.07 assert (zenon_L907_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(hskp5))) -> (~(hskp5)) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((~(hskp23))\/((ndr1_0)/\((~(c1_1 (a313)))/\((~(c2_1 (a313)))/\(~(c3_1 (a313))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c1_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24))))))\/(hskp23))) -> (~(c2_1 (a270))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/((forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> ((hskp29)\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((hskp29)\/(hskp20))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H67 zenon_H42 zenon_H315 zenon_H16f zenon_H1c9 zenon_H271 zenon_H2f6 zenon_H4f zenon_H2ef zenon_H2ee zenon_H2ed zenon_Ha1 zenon_Hed zenon_H14f zenon_H20c zenon_H204 zenon_H1f4 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H1b6 zenon_H25d zenon_He5 zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H90 zenon_H113 zenon_H237 zenon_H238 zenon_H239 zenon_Hd6 zenon_H25b zenon_H235 zenon_H27a zenon_H1c7 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H66 zenon_H20a zenon_He9 zenon_H31 zenon_Hec zenon_Hfe. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.07 apply (zenon_L905_); trivial. % 0.88/1.07 apply (zenon_L851_); trivial. % 0.88/1.07 apply (zenon_L835_); trivial. % 0.88/1.07 apply (zenon_L906_); trivial. % 0.88/1.07 (* end of lemma zenon_L907_ *) % 0.88/1.07 assert (zenon_L908_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (c1_1 (a287)) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hc7 zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_H35 zenon_H33 zenon_H34 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H211 zenon_H212 zenon_H213 zenon_H315 zenon_Hc5 zenon_H1f5 zenon_H1f6 zenon_Hc1 zenon_H92 zenon_H93. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.88/1.07 apply (zenon_L361_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.88/1.07 apply (zenon_L803_); trivial. % 0.88/1.07 apply (zenon_L423_); trivial. % 0.88/1.07 (* end of lemma zenon_L908_ *) % 0.88/1.07 assert (zenon_L909_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> (c1_1 (a287)) -> (~(c0_1 (a287))) -> (~(c2_1 (a287))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(hskp16)) -> False). % 0.88/1.07 do 0 intro. intros zenon_H170 zenon_Ha1 zenon_H1cd zenon_H1cc zenon_H1cb zenon_H35 zenon_H33 zenon_H34 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H211 zenon_H212 zenon_H213 zenon_H315 zenon_H1d4 zenon_H237 zenon_H238 zenon_H239 zenon_H90 zenon_H1f5 zenon_H1f6 zenon_H1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.07 apply (zenon_L142_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.07 apply (zenon_L803_); trivial. % 0.88/1.07 apply (zenon_L398_); trivial. % 0.88/1.07 (* end of lemma zenon_L909_ *) % 0.88/1.07 assert (zenon_L910_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c2_1 (a282)) -> (~(c1_1 (a282))) -> (~(c0_1 (a282))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> (c1_1 (a287)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (~(c0_1 (a275))) -> (~(c2_1 (a275))) -> (~(c3_1 (a275))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H16f zenon_Ha1 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H315 zenon_H1cd zenon_H1cc zenon_H1cb zenon_He5 zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H237 zenon_H238 zenon_H239 zenon_H1 zenon_H90 zenon_H12 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H13c zenon_H7c zenon_H271 zenon_H35 zenon_H34 zenon_H33 zenon_H116 zenon_H117 zenon_H118 zenon_H129 zenon_Hec. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.07 apply (zenon_L646_); trivial. % 0.88/1.07 apply (zenon_L909_); trivial. % 0.88/1.07 (* end of lemma zenon_L910_ *) % 0.88/1.07 assert (zenon_L911_ : ((ndr1_0)/\((c2_1 (a282))/\((~(c0_1 (a282)))/\(~(c1_1 (a282)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (c0_1 (a267)) -> (~(c3_1 (a267))) -> (~(c2_1 (a267))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c0_1 (a269)) -> (~(c2_1 (a269))) -> (~(c1_1 (a269))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H222 zenon_H42 zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_H7c zenon_H13c zenon_H315 zenon_H2ef zenon_H2ee zenon_H2ed zenon_H16f zenon_H208 zenon_H3 zenon_He5 zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H206 zenon_H213 zenon_H212 zenon_H211 zenon_H237 zenon_H238 zenon_H239 zenon_H90 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_H31 zenon_Hec zenon_H271 zenon_Ha1 zenon_Hfe. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L641_); trivial. % 0.88/1.07 apply (zenon_L524_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L910_); trivial. % 0.88/1.07 apply (zenon_L524_); trivial. % 0.88/1.07 (* end of lemma zenon_L911_ *) % 0.88/1.07 assert (zenon_L912_ : ((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a307))/\((c2_1 (a307))/\(~(c1_1 (a307))))))) -> (~(c2_1 (a270))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((~(c0_1 W))\/(~(c2_1 W))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a304))/\((c1_1 (a304))/\(c2_1 (a304)))))) -> (~(hskp11)) -> ((hskp29)\/((hskp22)\/(hskp11))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c3_1 X38)\/((~(c0_1 X38))\/(~(c2_1 X38))))))\/((hskp21)\/(hskp24))) -> (c3_1 (a281)) -> (~(c0_1 (a281))) -> (~(c2_1 (a281))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c2_1 (a318))/\((~(c1_1 (a318)))/\(~(c3_1 (a318))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a311))/\((c2_1 (a311))/\(~(c3_1 (a311))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> (~(hskp7)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c2_1 X28)\/((~(c1_1 X28))\/(~(c3_1 X28))))))\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H3f zenon_Hfe zenon_He9 zenon_H1f4 zenon_He2 zenon_H66 zenon_H1c7 zenon_H27a zenon_H235 zenon_H140 zenon_H13f zenon_H15e zenon_H25b zenon_H25d zenon_H1b6 zenon_Hec zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_H271 zenon_H7c zenon_H13c zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_H90 zenon_H239 zenon_H238 zenon_H237 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H1f5 zenon_H1f6 zenon_H1d4 zenon_He5 zenon_H3 zenon_H208 zenon_H16f. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L647_); trivial. % 0.88/1.07 apply (zenon_L649_); trivial. % 0.88/1.07 (* end of lemma zenon_L912_ *) % 0.88/1.07 assert (zenon_L913_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> (~(c2_1 (a267))) -> (~(c3_1 (a267))) -> (c0_1 (a267)) -> (~(c2_1 (a287))) -> (~(c0_1 (a287))) -> (c1_1 (a287)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c2_1 X12)\/((c3_1 X12)\/(~(c0_1 X12))))))\/(forall X49 : zenon_U, ((ndr1_0)->((c2_1 X49)\/((c3_1 X49)\/(~(c1_1 X49)))))))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> (ndr1_0) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hed zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H211 zenon_H212 zenon_H213 zenon_H2ed zenon_H2ee zenon_H2ef zenon_H34 zenon_H33 zenon_H35 zenon_H315 zenon_H237 zenon_H238 zenon_H239 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H113 zenon_Had zenon_H17b zenon_H17a zenon_H179 zenon_H12 zenon_Hb2 zenon_He5. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.07 apply (zenon_L115_); trivial. % 0.88/1.07 apply (zenon_L908_); trivial. % 0.88/1.07 (* end of lemma zenon_L913_ *) % 0.88/1.07 assert (zenon_L914_ : ((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c2_1 (a284)) -> (~(c3_1 (a284))) -> (~(c2_1 (a298))) -> (c1_1 (a298)) -> (c3_1 (a298)) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c3_1 (a270)) -> (c0_1 (a270)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> False). % 0.88/1.07 do 0 intro. intros zenon_Hc7 zenon_H25b zenon_H1d4 zenon_H28 zenon_H27 zenon_H15f zenon_H160 zenon_H161 zenon_H237 zenon_H238 zenon_H239 zenon_H271 zenon_Hc5 zenon_H1f5 zenon_H1f6 zenon_Hc1 zenon_H92 zenon_H93. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H12. zenon_intro zenon_Hc8. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hb9. zenon_intro zenon_Hc9. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H13 | zenon_intro zenon_H25c ]. % 0.88/1.07 apply (zenon_L412_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H24d | zenon_intro zenon_H251 ]. % 0.88/1.07 apply (zenon_L256_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.88/1.07 apply (zenon_L361_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.88/1.07 apply (zenon_L535_); trivial. % 0.88/1.07 apply (zenon_L423_); trivial. % 0.88/1.07 (* end of lemma zenon_L914_ *) % 0.88/1.07 assert (zenon_L915_ : ((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> (~(hskp16)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a272))) -> (~(c3_1 (a272))) -> (c0_1 (a272)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> (c1_1 (a274)) -> (c0_1 (a274)) -> (~(c3_1 (a274))) -> (c3_1 (a268)) -> (~(c2_1 (a268))) -> (~(c1_1 (a268))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c3_1 (a284))) -> (c2_1 (a284)) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H170 zenon_Hec zenon_H1 zenon_H90 zenon_He5 zenon_Hb2 zenon_H179 zenon_H17a zenon_H17b zenon_H113 zenon_Hc5 zenon_H93 zenon_H92 zenon_Hc1 zenon_H239 zenon_H238 zenon_H237 zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H27 zenon_H28 zenon_H271 zenon_H25b zenon_Hed. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.07 apply (zenon_L115_); trivial. % 0.88/1.07 apply (zenon_L914_); trivial. % 0.88/1.07 apply (zenon_L353_); trivial. % 0.88/1.07 (* end of lemma zenon_L915_ *) % 0.88/1.07 assert (zenon_L916_ : ((ndr1_0)/\((c2_1 (a284))/\((~(c0_1 (a284)))/\(~(c3_1 (a284)))))) -> ((~(hskp14))\/((ndr1_0)/\((c1_1 (a287))/\((~(c0_1 (a287)))/\(~(c2_1 (a287))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c2_1 X3)\/(c3_1 X3)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp28))) -> (~(c3_1 (a275))) -> (~(c2_1 (a275))) -> (~(c0_1 (a275))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c2_1 X19)\/(~(c1_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((~(c0_1 X20))\/((~(c2_1 X20))\/(~(c3_1 X20))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a278))/\((c1_1 (a278))/\(c3_1 (a278)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a298))/\((c3_1 (a298))/\(~(c2_1 (a298))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c1_1 X8))))))\/(forall X56 : zenon_U, ((ndr1_0)->((c3_1 X56)\/((~(c1_1 X56))\/(~(c2_1 X56)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((c2_1 Y)\/(~(c3_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c2_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a305))/\((~(c0_1 (a305)))/\(~(c3_1 (a305))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c2_1 X22)\/(~(c3_1 X22))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((~(c1_1 X7))\/(~(c3_1 X7))))))\/(forall X24 : zenon_U, ((ndr1_0)->((~(c0_1 X24))\/((~(c1_1 X24))\/(~(c3_1 X24)))))))) -> (c0_1 (a270)) -> (c3_1 (a270)) -> (~(c1_1 (a269))) -> (~(c2_1 (a269))) -> (c0_1 (a269)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c0_1 X47))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp18))) -> (~(c1_1 (a268))) -> (~(c2_1 (a268))) -> (c3_1 (a268)) -> (~(c3_1 (a274))) -> (c0_1 (a274)) -> (c1_1 (a274)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c0_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((~(c0_1 X30))\/(~(c3_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c3_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/((hskp27)\/(hskp19))) -> (c0_1 (a272)) -> (~(c3_1 (a272))) -> (~(c1_1 (a272))) -> ((forall X62 : zenon_U, ((ndr1_0)->((~(c1_1 X62))\/((~(c2_1 X62))\/(~(c3_1 X62))))))\/((hskp19)\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a276))/\((c2_1 (a276))/\(c3_1 (a276)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c3_1 X18)\/(~(c2_1 X18))))))\/(hskp14)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a303))/\((c2_1 (a303))/\(~(c3_1 (a303))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a293))/\((c1_1 (a293))/\(~(c2_1 (a293))))))) -> False). % 0.88/1.07 do 0 intro. intros zenon_H67 zenon_H42 zenon_H129 zenon_H118 zenon_H117 zenon_H116 zenon_H7c zenon_H13c zenon_H16f zenon_H90 zenon_H271 zenon_H25b zenon_Hed zenon_H1d4 zenon_H1f6 zenon_H1f5 zenon_H211 zenon_H212 zenon_H213 zenon_H206 zenon_H237 zenon_H238 zenon_H239 zenon_Hc1 zenon_H92 zenon_H93 zenon_Hc5 zenon_H113 zenon_H17b zenon_H17a zenon_H179 zenon_Hb2 zenon_He5 zenon_H31 zenon_Hec zenon_Hfe. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.07 apply (zenon_L669_); trivial. % 0.88/1.07 apply (zenon_L915_); trivial. % 0.88/1.07 apply (zenon_L547_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.07 apply (zenon_L675_); trivial. % 0.88/1.07 apply (zenon_L915_); trivial. % 0.88/1.07 apply (zenon_L547_); trivial. % 0.88/1.07 (* end of lemma zenon_L916_ *) % 0.88/1.07 apply NNPP. intro zenon_G. % 0.88/1.07 apply zenon_G. zenon_intro zenon_H32a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H32c. zenon_intro zenon_H32b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H32e. zenon_intro zenon_H32d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H330. zenon_intro zenon_H32f. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H332. zenon_intro zenon_H331. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H334. zenon_intro zenon_H333. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H336. zenon_intro zenon_H335. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H2ca. zenon_intro zenon_H337. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H225. zenon_intro zenon_H338. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H14d. zenon_intro zenon_H339. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H151. zenon_intro zenon_H33a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H14e. zenon_intro zenon_H33b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H226. zenon_intro zenon_H33c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H6a. zenon_intro zenon_H33d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H150. zenon_intro zenon_H33e. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H42. zenon_intro zenon_H33f. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H2de. zenon_intro zenon_H340. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_Hfe. zenon_intro zenon_H341. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H2b3. zenon_intro zenon_H342. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H16f. zenon_intro zenon_H343. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_Hec. zenon_intro zenon_H344. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_Hed. zenon_intro zenon_H345. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_He9. zenon_intro zenon_H346. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H1b6. zenon_intro zenon_H347. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H14f. zenon_intro zenon_H348. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_H25d. zenon_intro zenon_H349. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H273. zenon_intro zenon_H34a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H24. zenon_intro zenon_H34b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_He5. zenon_intro zenon_H34c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H13c. zenon_intro zenon_H34d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H66. zenon_intro zenon_H34e. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H2a2. zenon_intro zenon_H34f. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H20c. zenon_intro zenon_H350. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H25b. zenon_intro zenon_H351. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H20. zenon_intro zenon_H352. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H122. zenon_intro zenon_H353. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H1ba. zenon_intro zenon_H354. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_Ha1. zenon_intro zenon_H355. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H182. zenon_intro zenon_H356. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H2f6. zenon_intro zenon_H357. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H9f. zenon_intro zenon_H358. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H16d. zenon_intro zenon_H359. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H14b. zenon_intro zenon_H35a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H129. zenon_intro zenon_H35b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H7c. zenon_intro zenon_H35c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H3e. zenon_intro zenon_H35d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H1d4. zenon_intro zenon_H35e. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H360. zenon_intro zenon_H35f. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H1c9. zenon_intro zenon_H361. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_Hc5. zenon_intro zenon_H362. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H1d6. zenon_intro zenon_H363. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H6f. zenon_intro zenon_H364. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H31. zenon_intro zenon_H365. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H367. zenon_intro zenon_H366. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H1b4. zenon_intro zenon_H368. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H36a. zenon_intro zenon_H369. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H27e. zenon_intro zenon_H36b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H90. zenon_intro zenon_H36c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H36e. zenon_intro zenon_H36d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H1dc. zenon_intro zenon_H36f. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H315. zenon_intro zenon_H370. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H208. zenon_intro zenon_H371. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_H206. zenon_intro zenon_H372. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H271. zenon_intro zenon_H373. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H278. zenon_intro zenon_H374. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H2bc. zenon_intro zenon_H375. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_H113. zenon_intro zenon_H376. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_He2. zenon_intro zenon_H377. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H20a. zenon_intro zenon_H378. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H2f8. zenon_intro zenon_H379. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_Hd6. zenon_intro zenon_H37a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_Hfa. zenon_intro zenon_H37b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H51. zenon_intro zenon_H37c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H19a. zenon_intro zenon_H37d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H204. zenon_intro zenon_H37e. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H13d. zenon_intro zenon_H37f. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H381. zenon_intro zenon_H380. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H235. zenon_intro zenon_H382. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H62. zenon_intro zenon_H383. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H177. zenon_intro zenon_H384. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H384). zenon_intro zenon_H386. zenon_intro zenon_H385. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H385). zenon_intro zenon_Hb2. zenon_intro zenon_H387. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H387). zenon_intro zenon_H27a. zenon_intro zenon_H388. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H2bd. zenon_intro zenon_H389. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H389). zenon_intro zenon_H7. zenon_intro zenon_H38a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H38a). zenon_intro zenon_H38c. zenon_intro zenon_H38b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H282. zenon_intro zenon_H38d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H38d). zenon_intro zenon_H103. zenon_intro zenon_H38e. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H231. zenon_intro zenon_H38f. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H38f). zenon_intro zenon_H391. zenon_intro zenon_H390. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_H263. zenon_intro zenon_Hf. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H32c); [ zenon_intro zenon_H1d | zenon_intro zenon_H392 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_Hb | zenon_intro zenon_H393 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H11f | zenon_intro zenon_H394 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H5d | zenon_intro zenon_H395 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H5f | zenon_intro zenon_H2cd ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H4f | zenon_intro zenon_H2c9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.07 apply (zenon_L13_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.07 apply (zenon_L21_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.07 apply (zenon_L30_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H12. zenon_intro zenon_H2cb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H17b. zenon_intro zenon_H2cc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_L102_); trivial. % 0.88/1.07 apply (zenon_L113_); trivial. % 0.88/1.07 apply (zenon_L120_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H12. zenon_intro zenon_H2ce. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H187. zenon_intro zenon_H2cf. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H4f | zenon_intro zenon_H2c9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_L123_); trivial. % 0.88/1.07 apply (zenon_L124_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_L123_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L127_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_L126_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.07 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.07 apply (zenon_L135_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.88/1.07 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.88/1.07 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.88/1.07 apply (zenon_L129_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.88/1.07 apply (zenon_L89_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H32 | zenon_intro zenon_H7d ]. % 0.88/1.07 apply (zenon_L17_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H72 | zenon_intro zenon_H7b ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H43 | zenon_intro zenon_Hfd ]. % 0.88/1.07 apply (zenon_L22_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_H9b | zenon_intro zenon_Hf8 ]. % 0.88/1.07 apply (zenon_L81_); trivial. % 0.88/1.07 exact (zenon_Hf7 zenon_Hf8). % 0.88/1.07 exact (zenon_H7a zenon_H7b). % 0.88/1.07 apply (zenon_L136_); trivial. % 0.88/1.07 apply (zenon_L134_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.07 apply (zenon_L141_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.88/1.07 apply (zenon_L129_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.88/1.07 apply (zenon_L89_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H71 | zenon_intro zenon_H1bb ]. % 0.88/1.07 apply (zenon_L142_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H89 | zenon_intro zenon_H5e ]. % 0.88/1.07 apply (zenon_L143_); trivial. % 0.88/1.07 exact (zenon_H5d zenon_H5e). % 0.88/1.07 apply (zenon_L134_); trivial. % 0.88/1.07 apply (zenon_L122_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H12. zenon_intro zenon_H2cb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H17b. zenon_intro zenon_H2cc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L146_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.07 apply (zenon_L13_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.88/1.07 apply (zenon_L35_); trivial. % 0.88/1.07 apply (zenon_L151_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.07 apply (zenon_L155_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.07 apply (zenon_L145_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.88/1.07 apply (zenon_L35_); trivial. % 0.88/1.07 apply (zenon_L159_); trivial. % 0.88/1.07 apply (zenon_L122_); trivial. % 0.88/1.07 apply (zenon_L160_); trivial. % 0.88/1.07 apply (zenon_L171_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H12. zenon_intro zenon_H396. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H1f6. zenon_intro zenon_H397. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H5f | zenon_intro zenon_H2cd ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H4f | zenon_intro zenon_H2c9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_L177_); trivial. % 0.88/1.07 apply (zenon_L124_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_L177_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L32_); trivial. % 0.88/1.07 apply (zenon_L195_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H12. zenon_intro zenon_H2cb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H17b. zenon_intro zenon_H2cc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_L203_); trivial. % 0.88/1.07 apply (zenon_L113_); trivial. % 0.88/1.07 apply (zenon_L120_); trivial. % 0.88/1.07 apply (zenon_L171_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H12. zenon_intro zenon_H2ce. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H187. zenon_intro zenon_H2cf. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H4f | zenon_intro zenon_H2c9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_L204_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L127_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.07 apply (zenon_L13_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.88/1.07 apply (zenon_L35_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_L126_); trivial. % 0.88/1.07 apply (zenon_L69_); trivial. % 0.88/1.07 apply (zenon_L122_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_L204_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L127_); trivial. % 0.88/1.07 apply (zenon_L195_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H12. zenon_intro zenon_H2cb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H17b. zenon_intro zenon_H2cc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_L203_); trivial. % 0.88/1.07 apply (zenon_L122_); trivial. % 0.88/1.07 apply (zenon_L160_); trivial. % 0.88/1.07 apply (zenon_L171_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H12. zenon_intro zenon_H398. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H398). zenon_intro zenon_H213. zenon_intro zenon_H399. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H399). zenon_intro zenon_H211. zenon_intro zenon_H212. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H4f | zenon_intro zenon_H2c9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.07 apply (zenon_L228_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_L209_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L32_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.07 apply (zenon_L207_); trivial. % 0.88/1.07 apply (zenon_L189_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H12. zenon_intro zenon_H2cb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H17b. zenon_intro zenon_H2cc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L32_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L229_); trivial. % 0.88/1.07 apply (zenon_L68_); trivial. % 0.88/1.07 apply (zenon_L231_); trivial. % 0.88/1.07 apply (zenon_L249_); trivial. % 0.88/1.07 apply (zenon_L171_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H12. zenon_intro zenon_H39a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_H239. zenon_intro zenon_H39b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H11f | zenon_intro zenon_H394 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H5d | zenon_intro zenon_H395 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H5f | zenon_intro zenon_H2cd ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H4f | zenon_intro zenon_H2c9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.07 apply (zenon_L260_); trivial. % 0.88/1.07 apply (zenon_L261_); trivial. % 0.88/1.07 apply (zenon_L163_); trivial. % 0.88/1.07 apply (zenon_L266_); trivial. % 0.88/1.07 apply (zenon_L20_); trivial. % 0.88/1.07 apply (zenon_L31_); trivial. % 0.88/1.07 apply (zenon_L97_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.07 apply (zenon_L267_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.07 apply (zenon_L273_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.88/1.07 apply (zenon_L275_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L289_); trivial. % 0.88/1.07 apply (zenon_L293_); trivial. % 0.88/1.07 apply (zenon_L20_); trivial. % 0.88/1.07 apply (zenon_L31_); trivial. % 0.88/1.07 apply (zenon_L97_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_L294_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.07 apply (zenon_L267_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.88/1.07 apply (zenon_L296_); trivial. % 0.88/1.07 apply (zenon_L78_); trivial. % 0.88/1.07 apply (zenon_L163_); trivial. % 0.88/1.07 apply (zenon_L266_); trivial. % 0.88/1.07 apply (zenon_L20_); trivial. % 0.88/1.07 apply (zenon_L31_); trivial. % 0.88/1.07 apply (zenon_L97_); trivial. % 0.88/1.07 apply (zenon_L327_); trivial. % 0.88/1.07 apply (zenon_L328_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H12. zenon_intro zenon_H396. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H1f6. zenon_intro zenon_H397. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H5f | zenon_intro zenon_H2cd ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H4f | zenon_intro zenon_H2c9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.07 apply (zenon_L267_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L154_); trivial. % 0.88/1.07 apply (zenon_L336_); trivial. % 0.88/1.07 apply (zenon_L20_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L341_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.07 apply (zenon_L346_); trivial. % 0.88/1.07 apply (zenon_L339_); trivial. % 0.88/1.07 apply (zenon_L20_); trivial. % 0.88/1.07 apply (zenon_L349_); trivial. % 0.88/1.07 apply (zenon_L360_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.07 apply (zenon_L267_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.07 apply (zenon_L364_); trivial. % 0.88/1.07 apply (zenon_L382_); trivial. % 0.88/1.07 apply (zenon_L388_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_L294_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.07 apply (zenon_L267_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L392_); trivial. % 0.88/1.07 apply (zenon_L336_); trivial. % 0.88/1.07 apply (zenon_L20_); trivial. % 0.88/1.07 apply (zenon_L393_); trivial. % 0.88/1.07 apply (zenon_L360_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_L294_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.07 apply (zenon_L267_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.07 apply (zenon_L364_); trivial. % 0.88/1.07 apply (zenon_L393_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.07 apply (zenon_L267_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.07 apply (zenon_L364_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.88/1.07 apply (zenon_L275_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L400_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.88/1.07 apply (zenon_L401_); trivial. % 0.88/1.07 apply (zenon_L397_); trivial. % 0.88/1.07 apply (zenon_L402_); trivial. % 0.88/1.07 apply (zenon_L334_); trivial. % 0.88/1.07 apply (zenon_L403_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L400_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.07 apply (zenon_L408_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.88/1.07 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.88/1.07 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.88/1.07 apply (zenon_L89_); trivial. % 0.88/1.07 apply (zenon_L396_); trivial. % 0.88/1.07 apply (zenon_L411_); trivial. % 0.88/1.07 apply (zenon_L413_); trivial. % 0.88/1.07 apply (zenon_L334_); trivial. % 0.88/1.07 apply (zenon_L414_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H12. zenon_intro zenon_H2cb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H17b. zenon_intro zenon_H2cc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.07 apply (zenon_L415_); trivial. % 0.88/1.07 apply (zenon_L31_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.07 apply (zenon_L420_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L355_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.07 apply (zenon_L421_); trivial. % 0.88/1.07 apply (zenon_L302_); trivial. % 0.88/1.07 apply (zenon_L334_); trivial. % 0.88/1.07 apply (zenon_L153_); trivial. % 0.88/1.07 apply (zenon_L299_); trivial. % 0.88/1.07 apply (zenon_L429_); trivial. % 0.88/1.07 apply (zenon_L442_); trivial. % 0.88/1.07 apply (zenon_L328_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H12. zenon_intro zenon_H398. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H398). zenon_intro zenon_H213. zenon_intro zenon_H399. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H399). zenon_intro zenon_H211. zenon_intro zenon_H212. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H5d | zenon_intro zenon_H395 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H5f | zenon_intro zenon_H2cd ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H4f | zenon_intro zenon_H2c9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.07 apply (zenon_L456_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L462_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.07 apply (zenon_L267_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.07 apply (zenon_L273_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L229_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.07 apply (zenon_L207_); trivial. % 0.88/1.07 apply (zenon_L403_); trivial. % 0.88/1.07 apply (zenon_L506_); trivial. % 0.88/1.07 apply (zenon_L327_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H12. zenon_intro zenon_H2ce. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H187. zenon_intro zenon_H2cf. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H4f | zenon_intro zenon_H2c9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.07 apply (zenon_L456_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L462_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.07 apply (zenon_L267_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.07 apply (zenon_L514_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_L460_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L505_); trivial. % 0.88/1.07 apply (zenon_L518_); trivial. % 0.88/1.07 apply (zenon_L520_); trivial. % 0.88/1.07 apply (zenon_L506_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H12. zenon_intro zenon_H2cb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H17b. zenon_intro zenon_H2cc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.07 apply (zenon_L267_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.07 apply (zenon_L415_); trivial. % 0.88/1.07 apply (zenon_L520_); trivial. % 0.88/1.07 apply (zenon_L527_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_L294_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.07 apply (zenon_L415_); trivial. % 0.88/1.07 apply (zenon_L548_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.07 apply (zenon_L415_); trivial. % 0.88/1.07 apply (zenon_L553_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.07 apply (zenon_L267_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L554_); trivial. % 0.88/1.07 apply (zenon_L559_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L561_); trivial. % 0.88/1.07 apply (zenon_L559_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L566_); trivial. % 0.88/1.07 apply (zenon_L569_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L570_); trivial. % 0.88/1.07 apply (zenon_L569_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L566_); trivial. % 0.88/1.07 apply (zenon_L158_); trivial. % 0.88/1.07 apply (zenon_L571_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_L575_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_L294_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L169_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.07 apply (zenon_L577_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.88/1.07 apply (zenon_L275_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L586_); trivial. % 0.88/1.07 apply (zenon_L293_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.88/1.07 apply (zenon_L275_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.07 apply (zenon_L588_); trivial. % 0.88/1.07 apply (zenon_L574_); trivial. % 0.88/1.07 apply (zenon_L600_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H12. zenon_intro zenon_H396. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H1f6. zenon_intro zenon_H397. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H4f | zenon_intro zenon_H2c9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.07 apply (zenon_L602_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L462_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.07 apply (zenon_L267_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.07 apply (zenon_L514_); trivial. % 0.88/1.07 apply (zenon_L603_); trivial. % 0.88/1.07 apply (zenon_L638_); trivial. % 0.88/1.07 apply (zenon_L677_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H12. zenon_intro zenon_H39c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H2ef. zenon_intro zenon_H39d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2ed. zenon_intro zenon_H2ee. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H32e); [ zenon_intro zenon_Hb | zenon_intro zenon_H393 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H11f | zenon_intro zenon_H394 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H5d | zenon_intro zenon_H395 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H5f | zenon_intro zenon_H2cd ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H4f | zenon_intro zenon_H2c9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L680_); trivial. % 0.88/1.07 apply (zenon_L683_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H12. zenon_intro zenon_H2cb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H17b. zenon_intro zenon_H2cc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L300_); trivial. % 0.88/1.07 apply (zenon_L683_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H12. zenon_intro zenon_H2ce. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H187. zenon_intro zenon_H2cf. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H4f | zenon_intro zenon_H2c9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_L684_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L127_); trivial. % 0.88/1.07 apply (zenon_L697_); trivial. % 0.88/1.07 apply (zenon_L122_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H12. zenon_intro zenon_H2cb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H17b. zenon_intro zenon_H2cc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_L684_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.88/1.07 apply (zenon_L698_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H12. zenon_intro zenon_H157. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H80. zenon_intro zenon_H158. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H81. zenon_intro zenon_H7f. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H280 | zenon_intro zenon_H2b0 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.07 apply (zenon_L164_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_H12. zenon_intro zenon_Hea. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_Hcc. zenon_intro zenon_Heb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcb. % 0.88/1.07 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.07 apply (zenon_L703_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.88/1.07 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.88/1.07 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H127 | zenon_intro zenon_H139 ]. % 0.88/1.07 apply (zenon_L89_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H12. zenon_intro zenon_H13a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12b. zenon_intro zenon_H13b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H12d. zenon_intro zenon_H12c. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a3 ]. % 0.88/1.07 apply (zenon_L277_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H12. zenon_intro zenon_H2a4. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H296. zenon_intro zenon_H2a5. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H2a6. zenon_intro zenon_H297. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1d5 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H19c | zenon_intro zenon_H1b5 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hd8 | zenon_intro zenon_He3 ]. % 0.88/1.07 apply (zenon_L60_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_H88 | zenon_intro zenon_Ha3 ]. % 0.88/1.07 apply (zenon_L704_); trivial. % 0.88/1.07 apply (zenon_L210_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H105 | zenon_intro zenon_H1aa ]. % 0.88/1.07 apply (zenon_L106_); trivial. % 0.88/1.07 apply (zenon_L708_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H7e | zenon_intro zenon_H173 ]. % 0.88/1.07 apply (zenon_L39_); trivial. % 0.88/1.07 apply (zenon_L103_); trivial. % 0.88/1.07 apply (zenon_L710_); trivial. % 0.88/1.07 apply (zenon_L711_); trivial. % 0.88/1.07 apply (zenon_L20_); trivial. % 0.88/1.07 apply (zenon_L31_); trivial. % 0.88/1.07 apply (zenon_L717_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.07 apply (zenon_L726_); trivial. % 0.88/1.07 apply (zenon_L717_); trivial. % 0.88/1.07 apply (zenon_L732_); trivial. % 0.88/1.07 apply (zenon_L122_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L169_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_L687_); trivial. % 0.88/1.07 apply (zenon_L736_); trivial. % 0.88/1.07 apply (zenon_L737_); trivial. % 0.88/1.07 apply (zenon_L122_); trivial. % 0.88/1.07 apply (zenon_L742_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H12. zenon_intro zenon_H396. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H1f6. zenon_intro zenon_H397. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H5f | zenon_intro zenon_H2cd ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H4f | zenon_intro zenon_H2c9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L756_); trivial. % 0.88/1.07 apply (zenon_L764_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L756_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H6d | zenon_intro zenon_H156 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H101 | zenon_intro zenon_H121 ]. % 0.88/1.07 apply (zenon_L72_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_H12. zenon_intro zenon_H123. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H123). zenon_intro zenon_H106. zenon_intro zenon_H124. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_H125. zenon_intro zenon_H107. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H261 | zenon_intro zenon_H274 ]. % 0.88/1.07 apply (zenon_L263_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H274). zenon_intro zenon_H12. zenon_intro zenon_H275. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H266. zenon_intro zenon_H276. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H265. zenon_intro zenon_H277. % 0.88/1.07 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H10f | zenon_intro zenon_H126 ]. % 0.88/1.07 apply (zenon_L75_); trivial. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H115 | zenon_intro zenon_H120 ]. % 0.88/1.07 apply (zenon_L685_); trivial. % 0.88/1.07 exact (zenon_H11f zenon_H120). % 0.88/1.07 apply (zenon_L728_); trivial. % 0.88/1.07 apply (zenon_L749_); trivial. % 0.88/1.07 apply (zenon_L730_); trivial. % 0.88/1.07 apply (zenon_L695_); trivial. % 0.88/1.07 apply (zenon_L731_); trivial. % 0.88/1.07 apply (zenon_L765_); trivial. % 0.88/1.07 apply (zenon_L763_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L756_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.07 apply (zenon_L766_); trivial. % 0.88/1.07 apply (zenon_L690_); trivial. % 0.88/1.07 apply (zenon_L767_); trivial. % 0.88/1.07 apply (zenon_L695_); trivial. % 0.88/1.07 apply (zenon_L696_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L772_); trivial. % 0.88/1.07 apply (zenon_L764_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L772_); trivial. % 0.88/1.07 apply (zenon_L775_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H12. zenon_intro zenon_H2cb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H17b. zenon_intro zenon_H2cc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_L779_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L778_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_L777_); trivial. % 0.88/1.07 apply (zenon_L782_); trivial. % 0.88/1.07 apply (zenon_L112_); trivial. % 0.88/1.07 apply (zenon_L299_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.07 apply (zenon_L762_); trivial. % 0.88/1.07 apply (zenon_L299_); trivial. % 0.88/1.07 apply (zenon_L783_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_L785_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L778_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_L784_); trivial. % 0.88/1.07 apply (zenon_L782_); trivial. % 0.88/1.07 apply (zenon_L112_); trivial. % 0.88/1.07 apply (zenon_L299_); trivial. % 0.88/1.07 apply (zenon_L787_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L778_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.07 apply (zenon_L777_); trivial. % 0.88/1.07 apply (zenon_L118_); trivial. % 0.88/1.07 apply (zenon_L119_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H12. zenon_intro zenon_H2ce. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H187. zenon_intro zenon_H2cf. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H188. zenon_intro zenon_H189. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H4f | zenon_intro zenon_H2c9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L756_); trivial. % 0.88/1.07 apply (zenon_L794_); trivial. % 0.88/1.07 apply (zenon_L122_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L756_); trivial. % 0.88/1.07 apply (zenon_L697_); trivial. % 0.88/1.07 apply (zenon_L122_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L798_); trivial. % 0.88/1.07 apply (zenon_L794_); trivial. % 0.88/1.07 apply (zenon_L122_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.07 apply (zenon_L798_); trivial. % 0.88/1.07 apply (zenon_L775_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H12. zenon_intro zenon_H2cb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H17b. zenon_intro zenon_H2cc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_L779_); trivial. % 0.88/1.07 apply (zenon_L122_); trivial. % 0.88/1.07 apply (zenon_L783_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.07 apply (zenon_L785_); trivial. % 0.88/1.07 apply (zenon_L122_); trivial. % 0.88/1.07 apply (zenon_L742_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H12. zenon_intro zenon_H398. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H398). zenon_intro zenon_H213. zenon_intro zenon_H399. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H399). zenon_intro zenon_H211. zenon_intro zenon_H212. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H4f | zenon_intro zenon_H2c9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_L806_); trivial. % 0.88/1.07 apply (zenon_L807_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H12. zenon_intro zenon_H2cb. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H17b. zenon_intro zenon_H2cc. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.07 apply (zenon_L806_); trivial. % 0.88/1.07 apply (zenon_L818_); trivial. % 0.88/1.07 apply (zenon_L824_); trivial. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H12. zenon_intro zenon_H39a. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_H239. zenon_intro zenon_H39b. % 0.88/1.07 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_H237. zenon_intro zenon_H238. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H330); [ zenon_intro zenon_H11f | zenon_intro zenon_H394 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H5d | zenon_intro zenon_H395 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H5f | zenon_intro zenon_H2cd ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H4f | zenon_intro zenon_H2c9 ]. % 0.88/1.07 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.08 apply (zenon_L680_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H280 | zenon_intro zenon_H2b0 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.08 apply (zenon_L4_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.08 apply (zenon_L301_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.88/1.08 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.88/1.08 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.88/1.08 apply (zenon_L269_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.88/1.08 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a3 ]. % 0.88/1.08 apply (zenon_L277_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_H12. zenon_intro zenon_H2a4. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H296. zenon_intro zenon_H2a5. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H2a6. zenon_intro zenon_H297. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H71 | zenon_intro zenon_Ha2 ]. % 0.88/1.08 apply (zenon_L826_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H7e | zenon_intro zenon_H9b ]. % 0.88/1.08 apply (zenon_L825_); trivial. % 0.88/1.08 apply (zenon_L285_); trivial. % 0.88/1.08 apply (zenon_L692_); trivial. % 0.88/1.08 apply (zenon_L828_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H12. zenon_intro zenon_H2b1. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2a9. zenon_intro zenon_H2b2. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_H2a7. zenon_intro zenon_H2a8. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.08 apply (zenon_L4_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.08 apply (zenon_L301_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.88/1.08 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.88/1.08 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.88/1.08 apply (zenon_L661_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.88/1.08 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H71 | zenon_intro zenon_H1bb ]. % 0.88/1.08 apply (zenon_L826_); trivial. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H89 | zenon_intro zenon_H5e ]. % 0.88/1.08 apply (zenon_L287_); trivial. % 0.88/1.08 exact (zenon_H5d zenon_H5e). % 0.88/1.08 apply (zenon_L829_); trivial. % 0.88/1.08 apply (zenon_L828_); trivial. % 0.88/1.08 apply (zenon_L831_); trivial. % 0.88/1.08 apply (zenon_L832_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.08 apply (zenon_L834_); trivial. % 0.88/1.08 apply (zenon_L835_); trivial. % 0.88/1.08 apply (zenon_L679_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.08 apply (zenon_L154_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.08 apply (zenon_L309_); trivial. % 0.88/1.08 apply (zenon_L830_); trivial. % 0.88/1.08 apply (zenon_L334_); trivial. % 0.88/1.08 apply (zenon_L679_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.08 apply (zenon_L680_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.08 apply (zenon_L836_); trivial. % 0.88/1.08 apply (zenon_L837_); trivial. % 0.88/1.08 apply (zenon_L828_); trivial. % 0.88/1.08 apply (zenon_L838_); trivial. % 0.88/1.08 apply (zenon_L839_); trivial. % 0.88/1.08 apply (zenon_L679_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_L320_); trivial. % 0.88/1.08 apply (zenon_L679_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.08 apply (zenon_L680_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.08 apply (zenon_L842_); trivial. % 0.88/1.08 apply (zenon_L838_); trivial. % 0.88/1.08 apply (zenon_L839_); trivial. % 0.88/1.08 apply (zenon_L327_); trivial. % 0.88/1.08 apply (zenon_L328_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H12. zenon_intro zenon_H396. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H1f6. zenon_intro zenon_H397. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H334); [ zenon_intro zenon_H5f | zenon_intro zenon_H2cd ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H4f | zenon_intro zenon_H2c9 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.08 apply (zenon_L848_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.08 apply (zenon_L844_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.08 apply (zenon_L355_); trivial. % 0.88/1.08 apply (zenon_L849_); trivial. % 0.88/1.08 apply (zenon_L852_); trivial. % 0.88/1.08 apply (zenon_L679_); trivial. % 0.88/1.08 apply (zenon_L854_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.08 apply (zenon_L294_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.08 apply (zenon_L855_); trivial. % 0.88/1.08 apply (zenon_L266_); trivial. % 0.88/1.08 apply (zenon_L20_); trivial. % 0.88/1.08 apply (zenon_L31_); trivial. % 0.88/1.08 apply (zenon_L679_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.08 apply (zenon_L855_); trivial. % 0.88/1.08 apply (zenon_L828_); trivial. % 0.88/1.08 apply (zenon_L856_); trivial. % 0.88/1.08 apply (zenon_L857_); trivial. % 0.88/1.08 apply (zenon_L679_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_L845_); trivial. % 0.88/1.08 apply (zenon_L852_); trivial. % 0.88/1.08 apply (zenon_L679_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.08 apply (zenon_L844_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.88/1.08 apply (zenon_L275_); trivial. % 0.88/1.08 apply (zenon_L860_); trivial. % 0.88/1.08 apply (zenon_L852_); trivial. % 0.88/1.08 apply (zenon_L679_); trivial. % 0.88/1.08 apply (zenon_L854_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.88/1.08 apply (zenon_L275_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H12. zenon_intro zenon_H2e0. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H288. zenon_intro zenon_H2e1. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H28f. zenon_intro zenon_H286. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.08 apply (zenon_L861_); trivial. % 0.88/1.08 apply (zenon_L266_); trivial. % 0.88/1.08 apply (zenon_L20_); trivial. % 0.88/1.08 apply (zenon_L31_); trivial. % 0.88/1.08 apply (zenon_L679_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.88/1.08 apply (zenon_L275_); trivial. % 0.88/1.08 apply (zenon_L862_); trivial. % 0.88/1.08 apply (zenon_L857_); trivial. % 0.88/1.08 apply (zenon_L679_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H12. zenon_intro zenon_H2cb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H17b. zenon_intro zenon_H2cc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.08 apply (zenon_L848_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.08 apply (zenon_L420_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.08 apply (zenon_L752_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.08 apply (zenon_L154_); trivial. % 0.88/1.08 apply (zenon_L863_); trivial. % 0.88/1.08 apply (zenon_L847_); trivial. % 0.88/1.08 apply (zenon_L299_); trivial. % 0.88/1.08 apply (zenon_L429_); trivial. % 0.88/1.08 apply (zenon_L442_); trivial. % 0.88/1.08 apply (zenon_L328_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H12. zenon_intro zenon_H398. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H398). zenon_intro zenon_H213. zenon_intro zenon_H399. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H399). zenon_intro zenon_H211. zenon_intro zenon_H212. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H332); [ zenon_intro zenon_H5d | zenon_intro zenon_H395 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H4f | zenon_intro zenon_H2c9 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.08 apply (zenon_L864_); trivial. % 0.88/1.08 apply (zenon_L867_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.08 apply (zenon_L294_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.08 apply (zenon_L864_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_L877_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.08 apply (zenon_L879_); trivial. % 0.88/1.08 apply (zenon_L876_); trivial. % 0.88/1.08 apply (zenon_L679_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.08 apply (zenon_L880_); trivial. % 0.88/1.08 apply (zenon_L867_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.08 apply (zenon_L294_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.08 apply (zenon_L880_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_L885_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.08 apply (zenon_L504_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.08 apply (zenon_L500_); trivial. % 0.88/1.08 apply (zenon_L886_); trivial. % 0.88/1.08 apply (zenon_L679_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H12. zenon_intro zenon_H2cb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H17b. zenon_intro zenon_H2cc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H6b | zenon_intro zenon_H1f0 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_L801_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.08 apply (zenon_L229_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H280 | zenon_intro zenon_H2b0 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_Hd4 | zenon_intro zenon_He4 ]. % 0.88/1.08 apply (zenon_L521_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_H12. zenon_intro zenon_He6. % 0.88/1.08 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hda. zenon_intro zenon_He7. % 0.88/1.08 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hdb. zenon_intro zenon_Hd9. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 0.88/1.08 apply (zenon_L457_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H12. zenon_intro zenon_H1b8. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H1ac. zenon_intro zenon_H1b9. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H1ad. zenon_intro zenon_H1ab. % 0.88/1.08 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_H7a | zenon_intro zenon_Hb1 ]. % 0.88/1.08 apply (zenon_L343_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hb1). zenon_intro zenon_H12. zenon_intro zenon_Hb3. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_Ha4. zenon_intro zenon_Hb4. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hb4). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H283 | zenon_intro zenon_H2a3 ]. % 0.88/1.08 apply (zenon_L277_); trivial. % 0.88/1.08 apply (zenon_L887_); trivial. % 0.88/1.08 apply (zenon_L334_); trivial. % 0.88/1.08 apply (zenon_L208_); trivial. % 0.88/1.08 apply (zenon_L888_); trivial. % 0.88/1.08 apply (zenon_L20_); trivial. % 0.88/1.08 apply (zenon_L525_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_L801_); trivial. % 0.88/1.08 apply (zenon_L520_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.08 apply (zenon_L526_); trivial. % 0.88/1.08 apply (zenon_L866_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.08 apply (zenon_L294_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_L801_); trivial. % 0.88/1.08 apply (zenon_L548_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_L801_); trivial. % 0.88/1.08 apply (zenon_L553_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.08 apply (zenon_L800_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.08 apply (zenon_L560_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.08 apply (zenon_L529_); trivial. % 0.88/1.08 apply (zenon_L873_); trivial. % 0.88/1.08 apply (zenon_L889_); trivial. % 0.88/1.08 apply (zenon_L894_); trivial. % 0.88/1.08 apply (zenon_L896_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H12. zenon_intro zenon_H1f1. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H19e. zenon_intro zenon_H1f2. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H19f. zenon_intro zenon_H19d. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.08 apply (zenon_L575_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.08 apply (zenon_L294_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_L577_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_L801_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H280 | zenon_intro zenon_H2b0 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.08 apply (zenon_L578_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.08 apply (zenon_L579_); trivial. % 0.88/1.08 apply (zenon_L597_); trivial. % 0.88/1.08 apply (zenon_L288_); trivial. % 0.88/1.08 apply (zenon_L574_); trivial. % 0.88/1.08 apply (zenon_L20_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_L577_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1cd. zenon_intro zenon_H224. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H1cb. zenon_intro zenon_H1cc. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.08 apply (zenon_L800_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H27c | zenon_intro zenon_H2df ]. % 0.88/1.08 apply (zenon_L275_); trivial. % 0.88/1.08 apply (zenon_L897_); trivial. % 0.88/1.08 apply (zenon_L600_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H395). zenon_intro zenon_H12. zenon_intro zenon_H396. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H1f6. zenon_intro zenon_H397. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H336); [ zenon_intro zenon_H4f | zenon_intro zenon_H2c9 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.08 apply (zenon_L800_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.08 apply (zenon_L899_); trivial. % 0.88/1.08 apply (zenon_L902_); trivial. % 0.88/1.08 apply (zenon_L852_); trivial. % 0.88/1.08 apply (zenon_L679_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.08 apply (zenon_L800_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.08 apply (zenon_L899_); trivial. % 0.88/1.08 apply (zenon_L903_); trivial. % 0.88/1.08 apply (zenon_L852_); trivial. % 0.88/1.08 apply (zenon_L679_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H3c | zenon_intro zenon_H153 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_L801_); trivial. % 0.88/1.08 apply (zenon_L907_); trivial. % 0.88/1.08 apply (zenon_L679_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H153). zenon_intro zenon_H12. zenon_intro zenon_H154. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_H45. zenon_intro zenon_H155. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H46. zenon_intro zenon_H44. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.08 apply (zenon_L800_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.08 apply (zenon_L899_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Haf | zenon_intro zenon_Hc7 ]. % 0.88/1.08 apply (zenon_L874_); trivial. % 0.88/1.08 apply (zenon_L908_); trivial. % 0.88/1.08 apply (zenon_L334_); trivial. % 0.88/1.08 apply (zenon_L907_); trivial. % 0.88/1.08 apply (zenon_L679_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H12. zenon_intro zenon_H2cb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H17b. zenon_intro zenon_H2cc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H179. zenon_intro zenon_H17a. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H3 | zenon_intro zenon_H184 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.08 apply (zenon_L294_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_Hff | zenon_intro zenon_H15b ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_L648_); trivial. % 0.88/1.08 apply (zenon_L911_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H15b). zenon_intro zenon_H12. zenon_intro zenon_H15c. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H15c). zenon_intro zenon_H140. zenon_intro zenon_H15d. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H15d). zenon_intro zenon_H13f. zenon_intro zenon_H15e. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H222 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.08 apply (zenon_L800_); trivial. % 0.88/1.08 apply (zenon_L912_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H12. zenon_intro zenon_H68. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H28. zenon_intro zenon_H69. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H26. zenon_intro zenon_H27. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.08 apply (zenon_L641_); trivial. % 0.88/1.08 apply (zenon_L519_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.08 apply (zenon_L647_); trivial. % 0.88/1.08 apply (zenon_L519_); trivial. % 0.88/1.08 apply (zenon_L911_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H184). zenon_intro zenon_H12. zenon_intro zenon_H185. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H185). zenon_intro zenon_H92. zenon_intro zenon_H186. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H186). zenon_intro zenon_H93. zenon_intro zenon_Hc1. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H152 ]. % 0.88/1.08 apply (zenon_L294_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H152). zenon_intro zenon_H12. zenon_intro zenon_H159. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H159). zenon_intro zenon_H116. zenon_intro zenon_H15a. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H15a). zenon_intro zenon_H117. zenon_intro zenon_H118. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H9 | zenon_intro zenon_H67 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H2f | zenon_intro zenon_H3f ]. % 0.88/1.08 apply (zenon_L800_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H12. zenon_intro zenon_H40. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H35. zenon_intro zenon_H41. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H33. zenon_intro zenon_H34. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf9 ]. % 0.88/1.08 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H5 | zenon_intro zenon_H170 ]. % 0.88/1.08 apply (zenon_L675_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_H12. zenon_intro zenon_H171. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H171). zenon_intro zenon_H160. zenon_intro zenon_H172. % 0.88/1.08 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H15f. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.08 apply (zenon_L913_); trivial. % 0.88/1.08 apply (zenon_L353_); trivial. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hf9). zenon_intro zenon_H12. zenon_intro zenon_Hfb. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hfb). zenon_intro zenon_Hef. zenon_intro zenon_Hfc. % 0.88/1.08 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf0. zenon_intro zenon_Hee. % 0.88/1.08 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Had | zenon_intro zenon_He8 ]. % 0.88/1.08 apply (zenon_L913_); trivial. % 0.88/1.08 apply (zenon_L334_); trivial. % 0.88/1.08 apply (zenon_L916_); trivial. % 0.88/1.08 Qed. % 0.88/1.08 % SZS output end Proof % 0.88/1.08 (* END-PROOF *) % 0.88/1.08 nodes searched: 39837 % 0.88/1.08 max branch formulas: 464 % 0.88/1.08 proof nodes created: 7053 % 0.88/1.08 formulas created: 43275 % 0.88/1.08 %------------------------------------------------------------------------------